SlideShare a Scribd company logo
1 of 96
Download to read offline
Albert Einstein Institute
Max Planck Institute for Gravitational Physics and
Leibniz Universität Hannover
Space based
Gravitational Wave
Observations
LISA and its pathfinder
M Hewitson
Institut für Gravitationsphysik
der Leibniz Universität
Hannover
SIGRAV
May 2018
M Hewitson, LISA Detector, SIGRAV, May 2018
Does that work?
• We aim for a strain sensitivity of around





• That means we need to measure distance
changes around



• But frequency noise is around
2
h =
L
L
= 10 20 1
p
Hz<latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit><latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit><latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit><latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit>
L =2.5 ⇥ 109
[m] ⇥ 10 20 1
p
Hz
=25
pm
p
Hz<latexit sha1_base64="DnFVyhuetGkrPhKnB+HkzVRzYcU=">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</latexit><latexit sha1_base64="DnFVyhuetGkrPhKnB+HkzVRzYcU=">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</latexit><latexit sha1_base64="DnFVyhuetGkrPhKnB+HkzVRzYcU=">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</latexit><latexit sha1_base64="DnFVyhuetGkrPhKnB+HkzVRzYcU=">AAACV3icdZHPb9MwFMedbIxSfnVw5PJEBeJC5FQrWw+TJuCwA4ch0W1SHSrHdTZrthPsl0klyj+JuOxf4QJOWySY4EmWvvq8r+3nr/NKK4+U3kTx1vadnbu9e/37Dx4+ejzYfXLqy9oJORWlLt15zr3UysopKtTyvHKSm1zLs/zqXdc/u5bOq9J+wmUlM8MvrCqU4BjQfGDZe6mRwwc4fAmjZMxQGelT+nkCM+YMmAzWCAJrXo9oywrHRZO2DfNfHDad6fhr2wJj/e6IMawNHa/Mbdd8MKTJ5GA82RsBTeiqOvEmpftjSDdkSDZ1Mh98Y4tS1EZaFJp7P0tphVnDHSqhZdtntZcVF1f8Qs6CtDyMmjWrXFp4EcgCitKFZRFW9M8dDTfeL00enIbjpb/d6+C/erMai4OsUbaqUVqxvqioNWAJXciwUE4K1MsguHAqzArikodYMHxFP4Tw+6Xwf3E6SlKapB/3hkdvN3H0yDPynLwiKdknR+SYnJApEeQ7+RFtRdvRTfQz3ol7a2scbfY8JX9VvPsL8MCx0w==</latexit>
˜xfreq
=0.9
mm
p
Hz<latexit sha1_base64="JPhEdtOWsH+t5Nun+9feaPC6jEQ=">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</latexit><latexit sha1_base64="JPhEdtOWsH+t5Nun+9feaPC6jEQ=">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</latexit><latexit sha1_base64="JPhEdtOWsH+t5Nun+9feaPC6jEQ=">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</latexit><latexit sha1_base64="JPhEdtOWsH+t5Nun+9feaPC6jEQ=">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</latexit>
M Hewitson, LISA Detector, SIGRAV, May 2018
Cancelling frequency noise
• We need to do something to cancel the
frequency noise that’s introduced in the long-
arm interferometer

• Use a concept called Time Delay
Interferometery
3
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements in one arm
4
M Hewitson, LISA Detector, SIGRAV, May 2018
LISA measurements and TDI
• What follows next is vastly simplified, just to get
the idea across
• More detailed (correct) derivations are in:
• Otto, Time-Delay Interferometry Simulations for LISA,
PhD Thesis 2015
• Tinto & Dhurandhar, Time-Delay Interferometry,
Living Reviews, Dec 2005
• https://link.springer.com/article/10.12942/lrr-2005-4
5
M Hewitson, LISA Detector, SIGRAV, May 2018
All measurements and notation
• Each S/C contains
two optical benches
• X and X’
• Arms are labelled as
opposite vertex
6
H1<latexit sha1_base64="7NRPR5CnFc3ZdfNK+YZB2heg7xE=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjZxRvmAX7Ua5VikjQ1YwpNGol+wqclKlACnao/z7cBySOKBCE46VGjh2pN0ES80Ip4vcMFY0wmSGJ3RgqMABVW6yOnWBLowyRn4oTQmNVur3iQQHSs0Dz3QGWE/Vb28p/uUNYu3X3YSJKNZUkPUiP+ZIh2j5NxozSYnmc0MwkczcisgUS0y0SSdnQvj6FP1PuqWiYxedm0qheZXGkYUzOIdLcKAGTWhBGzpAYAIP8ATPFrcerRfrdd2asdKZU/gB6+0TF82Nqw==</latexit><latexit sha1_base64="7NRPR5CnFc3ZdfNK+YZB2heg7xE=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjZxRvmAX7Ua5VikjQ1YwpNGol+wqclKlACnao/z7cBySOKBCE46VGjh2pN0ES80Ip4vcMFY0wmSGJ3RgqMABVW6yOnWBLowyRn4oTQmNVur3iQQHSs0Dz3QGWE/Vb28p/uUNYu3X3YSJKNZUkPUiP+ZIh2j5NxozSYnmc0MwkczcisgUS0y0SSdnQvj6FP1PuqWiYxedm0qheZXGkYUzOIdLcKAGTWhBGzpAYAIP8ATPFrcerRfrdd2asdKZU/gB6+0TF82Nqw==</latexit><latexit sha1_base64="7NRPR5CnFc3ZdfNK+YZB2heg7xE=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjZxRvmAX7Ua5VikjQ1YwpNGol+wqclKlACnao/z7cBySOKBCE46VGjh2pN0ES80Ip4vcMFY0wmSGJ3RgqMABVW6yOnWBLowyRn4oTQmNVur3iQQHSs0Dz3QGWE/Vb28p/uUNYu3X3YSJKNZUkPUiP+ZIh2j5NxozSYnmc0MwkczcisgUS0y0SSdnQvj6FP1PuqWiYxedm0qheZXGkYUzOIdLcKAGTWhBGzpAYAIP8ATPFrcerRfrdd2asdKZU/gB6+0TF82Nqw==</latexit><latexit sha1_base64="7NRPR5CnFc3ZdfNK+YZB2heg7xE=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjZxRvmAX7Ua5VikjQ1YwpNGol+wqclKlACnao/z7cBySOKBCE46VGjh2pN0ES80Ip4vcMFY0wmSGJ3RgqMABVW6yOnWBLowyRn4oTQmNVur3iQQHSs0Dz3QGWE/Vb28p/uUNYu3X3YSJKNZUkPUiP+ZIh2j5NxozSYnmc0MwkczcisgUS0y0SSdnQvj6FP1PuqWiYxedm0qheZXGkYUzOIdLcKAGTWhBGzpAYAIP8ATPFrcerRfrdd2asdKZU/gB6+0TF82Nqw==</latexit>
H2<latexit sha1_base64="PN4wNZUhaLngIlj1c0H6XCIcqxs=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjUqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGVGNrA==</latexit><latexit sha1_base64="PN4wNZUhaLngIlj1c0H6XCIcqxs=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjUqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGVGNrA==</latexit><latexit sha1_base64="PN4wNZUhaLngIlj1c0H6XCIcqxs=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjUqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGVGNrA==</latexit><latexit sha1_base64="PN4wNZUhaLngIlj1c0H6XCIcqxs=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjUqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGVGNrA==</latexit>
H3<latexit sha1_base64="9BZTXOGbOGygMfOREdw2MUB1law=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjcqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGtWNrQ==</latexit><latexit sha1_base64="9BZTXOGbOGygMfOREdw2MUB1law=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjcqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGtWNrQ==</latexit><latexit sha1_base64="9BZTXOGbOGygMfOREdw2MUB1law=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjcqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGtWNrQ==</latexit><latexit sha1_base64="9BZTXOGbOGygMfOREdw2MUB1law=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjcqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGtWNrQ==</latexit>
10
<latexit sha1_base64="BQrSOF6TeIS/kiSI8m+2Zd+VNE8=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXTrnA0LRbtkNyq1agUZsoQhjUa9bF8gJ1WKkKI1LLwPRiGJAyo04VipvmNH2k2w1IxwOs8NYkUjTKZ4TPuGChxQ5SbLS+fo1Cgj5IfSlNBoqX6fSHCg1CzwTGeA9UT99hbiX14/1n7dTZiIYk0FWS3yY450iBZvoxGTlGg+MwQTycytiEywxESbcHImhK9P0f+kUy45dsm5qRabl2kcWTiGEzgHB2rQhGtoQRsI+PAAT/BsTa1H68V6XbVmrHTmCH7AevsEMBqNIQ==</latexit><latexit sha1_base64="BQrSOF6TeIS/kiSI8m+2Zd+VNE8=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXTrnA0LRbtkNyq1agUZsoQhjUa9bF8gJ1WKkKI1LLwPRiGJAyo04VipvmNH2k2w1IxwOs8NYkUjTKZ4TPuGChxQ5SbLS+fo1Cgj5IfSlNBoqX6fSHCg1CzwTGeA9UT99hbiX14/1n7dTZiIYk0FWS3yY450iBZvoxGTlGg+MwQTycytiEywxESbcHImhK9P0f+kUy45dsm5qRabl2kcWTiGEzgHB2rQhGtoQRsI+PAAT/BsTa1H68V6XbVmrHTmCH7AevsEMBqNIQ==</latexit><latexit sha1_base64="BQrSOF6TeIS/kiSI8m+2Zd+VNE8=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXTrnA0LRbtkNyq1agUZsoQhjUa9bF8gJ1WKkKI1LLwPRiGJAyo04VipvmNH2k2w1IxwOs8NYkUjTKZ4TPuGChxQ5SbLS+fo1Cgj5IfSlNBoqX6fSHCg1CzwTGeA9UT99hbiX14/1n7dTZiIYk0FWS3yY450iBZvoxGTlGg+MwQTycytiEywxESbcHImhK9P0f+kUy45dsm5qRabl2kcWTiGEzgHB2rQhGtoQRsI+PAAT/BsTa1H68V6XbVmrHTmCH7AevsEMBqNIQ==</latexit><latexit sha1_base64="BQrSOF6TeIS/kiSI8m+2Zd+VNE8=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXTrnA0LRbtkNyq1agUZsoQhjUa9bF8gJ1WKkKI1LLwPRiGJAyo04VipvmNH2k2w1IxwOs8NYkUjTKZ4TPuGChxQ5SbLS+fo1Cgj5IfSlNBoqX6fSHCg1CzwTGeA9UT99hbiX14/1n7dTZiIYk0FWS3yY450iBZvoxGTlGg+MwQTycytiEywxESbcHImhK9P0f+kUy45dsm5qRabl2kcWTiGEzgHB2rQhGtoQRsI+PAAT/BsTa1H68V6XbVmrHTmCH7AevsEMBqNIQ==</latexit>
1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit>
2<latexit sha1_base64="KU+tyW5M1jGGrmjQ3+aDnDOkOlY=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTjrJmNkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCorcJYMmyxUISy61GFggfY0lwL7EYSqe8J7HjT64XfuUepeBjc6lmErk/HAR9xRrWRmqVBvmAX7dpFpXxBDFnCkFqtWrIviZMqBUjRGOTf+8OQxT4GmgmqVM+xI+0mVGrOBM5z/VhhRNmUjrFnaEB9VG6yPHROzowyJKNQmgo0WarfJxLqKzXzPdPpUz1Rv72F+JfXi/Wo6iY8iGKNAVstGsWC6JAsviZDLpFpMTOEMsnNrYRNqKRMm2xyJoSvT8n/pF0qOnbRaZYL9as0jiycwCmcgwMVqMMNNKAFDBAe4AmerTvr0XqxXletGSudOYYfsN4+AdFejPE=</latexit><latexit sha1_base64="KU+tyW5M1jGGrmjQ3+aDnDOkOlY=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTjrJmNkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCorcJYMmyxUISy61GFggfY0lwL7EYSqe8J7HjT64XfuUepeBjc6lmErk/HAR9xRrWRmqVBvmAX7dpFpXxBDFnCkFqtWrIviZMqBUjRGOTf+8OQxT4GmgmqVM+xI+0mVGrOBM5z/VhhRNmUjrFnaEB9VG6yPHROzowyJKNQmgo0WarfJxLqKzXzPdPpUz1Rv72F+JfXi/Wo6iY8iGKNAVstGsWC6JAsviZDLpFpMTOEMsnNrYRNqKRMm2xyJoSvT8n/pF0qOnbRaZYL9as0jiycwCmcgwMVqMMNNKAFDBAe4AmerTvr0XqxXletGSudOYYfsN4+AdFejPE=</latexit><latexit sha1_base64="KU+tyW5M1jGGrmjQ3+aDnDOkOlY=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTjrJmNkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCorcJYMmyxUISy61GFggfY0lwL7EYSqe8J7HjT64XfuUepeBjc6lmErk/HAR9xRrWRmqVBvmAX7dpFpXxBDFnCkFqtWrIviZMqBUjRGOTf+8OQxT4GmgmqVM+xI+0mVGrOBM5z/VhhRNmUjrFnaEB9VG6yPHROzowyJKNQmgo0WarfJxLqKzXzPdPpUz1Rv72F+JfXi/Wo6iY8iGKNAVstGsWC6JAsviZDLpFpMTOEMsnNrYRNqKRMm2xyJoSvT8n/pF0qOnbRaZYL9as0jiycwCmcgwMVqMMNNKAFDBAe4AmerTvr0XqxXletGSudOYYfsN4+AdFejPE=</latexit><latexit sha1_base64="KU+tyW5M1jGGrmjQ3+aDnDOkOlY=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTjrJmNkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCorcJYMmyxUISy61GFggfY0lwL7EYSqe8J7HjT64XfuUepeBjc6lmErk/HAR9xRrWRmqVBvmAX7dpFpXxBDFnCkFqtWrIviZMqBUjRGOTf+8OQxT4GmgmqVM+xI+0mVGrOBM5z/VhhRNmUjrFnaEB9VG6yPHROzowyJKNQmgo0WarfJxLqKzXzPdPpUz1Rv72F+JfXi/Wo6iY8iGKNAVstGsWC6JAsviZDLpFpMTOEMsnNrYRNqKRMm2xyJoSvT8n/pF0qOnbRaZYL9as0jiycwCmcgwMVqMMNNKAFDBAe4AmerTvr0XqxXletGSudOYYfsN4+AdFejPE=</latexit>
20
<latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit>
3<latexit sha1_base64="f8GCqh4n68Xhzq/gNZOxUK4BTSQ=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKewmkSS3oBePCZgHJEuYnXSS0dkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCoo8JYMmyzUISy51GFggfY1lwL7EUSqe8J7Hp3Vwu/e49S8TC40bMIXZ9OAj7mjGojtcrDfMEu2vVytVImhixhSL1eK9kXxEmVAqRoDvPvg1HIYh8DzQRVqu/YkXYTKjVnAue5QawwouyOTrBvaEB9VG6yPHROzowyIuNQmgo0WarfJxLqKzXzPdPpUz1Vv72F+JfXj/W45iY8iGKNAVstGseC6JAsviYjLpFpMTOEMsnNrYRNqaRMm2xyJoSvT8n/pFMqOnbRaVUKjcs0jiycwCmcgwNVaMA1NKENDBAe4AmerVvr0XqxXletGSudOYYfsN4+AdLijPI=</latexit><latexit sha1_base64="f8GCqh4n68Xhzq/gNZOxUK4BTSQ=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKewmkSS3oBePCZgHJEuYnXSS0dkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCoo8JYMmyzUISy51GFggfY1lwL7EUSqe8J7Hp3Vwu/e49S8TC40bMIXZ9OAj7mjGojtcrDfMEu2vVytVImhixhSL1eK9kXxEmVAqRoDvPvg1HIYh8DzQRVqu/YkXYTKjVnAue5QawwouyOTrBvaEB9VG6yPHROzowyIuNQmgo0WarfJxLqKzXzPdPpUz1Vv72F+JfXj/W45iY8iGKNAVstGseC6JAsviYjLpFpMTOEMsnNrYRNqaRMm2xyJoSvT8n/pFMqOnbRaVUKjcs0jiycwCmcgwNVaMA1NKENDBAe4AmerVvr0XqxXletGSudOYYfsN4+AdLijPI=</latexit><latexit sha1_base64="f8GCqh4n68Xhzq/gNZOxUK4BTSQ=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKewmkSS3oBePCZgHJEuYnXSS0dkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCoo8JYMmyzUISy51GFggfY1lwL7EUSqe8J7Hp3Vwu/e49S8TC40bMIXZ9OAj7mjGojtcrDfMEu2vVytVImhixhSL1eK9kXxEmVAqRoDvPvg1HIYh8DzQRVqu/YkXYTKjVnAue5QawwouyOTrBvaEB9VG6yPHROzowyIuNQmgo0WarfJxLqKzXzPdPpUz1Vv72F+JfXj/W45iY8iGKNAVstGseC6JAsviYjLpFpMTOEMsnNrYRNqaRMm2xyJoSvT8n/pFMqOnbRaVUKjcs0jiycwCmcgwNVaMA1NKENDBAe4AmerVvr0XqxXletGSudOYYfsN4+AdLijPI=</latexit><latexit sha1_base64="f8GCqh4n68Xhzq/gNZOxUK4BTSQ=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKewmkSS3oBePCZgHJEuYnXSS0dkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCoo8JYMmyzUISy51GFggfY1lwL7EUSqe8J7Hp3Vwu/e49S8TC40bMIXZ9OAj7mjGojtcrDfMEu2vVytVImhixhSL1eK9kXxEmVAqRoDvPvg1HIYh8DzQRVqu/YkXYTKjVnAue5QawwouyOTrBvaEB9VG6yPHROzowyIuNQmgo0WarfJxLqKzXzPdPpUz1Vv72F+JfXj/W45iY8iGKNAVstGseC6JAsviYjLpFpMTOEMsnNrYRNqaRMm2xyJoSvT8n/pFMqOnbRaVUKjcs0jiycwCmcgwNVaMA1NKENDBAe4AmerVvr0XqxXletGSudOYYfsN4+AdLijPI=</latexit>
30
<latexit sha1_base64="q5GRXYLiqaxs4duBbvTXNBrOyTY=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbORsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMySNIw==</latexit><latexit sha1_base64="q5GRXYLiqaxs4duBbvTXNBrOyTY=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbORsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMySNIw==</latexit><latexit sha1_base64="q5GRXYLiqaxs4duBbvTXNBrOyTY=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbORsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMySNIw==</latexit><latexit sha1_base64="q5GRXYLiqaxs4duBbvTXNBrOyTY=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbORsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMySNIw==</latexit>
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements in one S/C
7
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements in one S/C
7
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements in one S/C
7
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit>
20
<latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit>
s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit>
20
<latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit>
s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit>
20
<latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit>
s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
path-length
change due to
phase noise of
far S/C (delayed)
1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit>
20
<latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit>
s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
path-length
change due to
phase noise of
far S/C (delayed)
path-length
change due
phase noise
in local S/C
1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit>
20
<latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit>
s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
path-length
change due to
phase noise of
far S/C (delayed)
path-length
change due
phase noise
in local S/C
path-length
changes due to
motion of far 

S/C (delayed)
1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit>
20
<latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit>
s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">AAACP3icdVBLSwMxGMz6tr6qHr18WHwhLlnXR3sQRD14EgVbhbYs2TTVYPZBkhXKsv/Mi3/Bm1cvHhTx6s1sW0FFPwhMZuYjmfFjwZXG+NEaGBwaHhkdGy9MTE5NzxRn52oqSiRlVRqJSF76RDHBQ1bVXAt2GUtGAl+wC//mMNcvbplUPArPdSdmzYBchbzNKdGG8oo15TmwtwzHngvr0AiIvqZEpEfZahp76eZKlq3BBsTGtPFTbRwxoUnW9eSW3t341uHEc7xiCdvYrTi7LmDb3XHLWzmoVMruNgbHxt0pof6cesWHRiuiScBCTQVRqu7gWDdTIjWngmWFRqJYTOgNuWJ1A0MSMNVMu/kzWDJMC9qRNCfU0GW/b6QkUKoT+MaZR1C/tZz8S6snul1upjyME81C2nuonQjQEeRlQotLRrXoGECo5OavQK+JJFSbygumhK+k8D+obdoOtp2zrdL+Qb+OMbSAFtEqctAu2kfH6BRVEUV36Am9oFfr3nq23qz3nnXA6u/Mox9jfXwCsmGrOA==</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
path-length
change due to
phase noise of
far S/C (delayed)
path-length
change due
phase noise
in local S/C
path-length
changes due to
motion of far 

S/C (delayed)
path-length
changes due to
motion of local
S/C
1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit>
20
<latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit>
s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
path-length
change due to
phase noise of
far S/C (delayed)
path-length
change due
phase noise
in local S/C
path-length
changes due to
motion of far 

S/C (delayed)
path-length
changes due to
motion of local
S/C
1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit>
20
<latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit>
s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
Noise in IFO
readout, e.g.
shot noise
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II  - M Hewitson

More Related Content

More from Lake Como School of Advanced Studies

The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...Lake Como School of Advanced Studies
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...Lake Como School of Advanced Studies
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...Lake Como School of Advanced Studies
 
Econophysics VII: Credits and the Instability of the Financial System - Thoma...
Econophysics VII: Credits and the Instability of the Financial System - Thoma...Econophysics VII: Credits and the Instability of the Financial System - Thoma...
Econophysics VII: Credits and the Instability of the Financial System - Thoma...Lake Como School of Advanced Studies
 
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...Lake Como School of Advanced Studies
 
Econophysics V: Market States and Subtleties of Correlations - Thomas Guhr
Econophysics V: Market  States and Subtleties of Correlations - Thomas GuhrEconophysics V: Market  States and Subtleties of Correlations - Thomas Guhr
Econophysics V: Market States and Subtleties of Correlations - Thomas GuhrLake Como School of Advanced Studies
 
Econophysics III: Financial Correlations and Portfolio Optimization - Thomas ...
Econophysics III: Financial Correlations and Portfolio Optimization - Thomas ...Econophysics III: Financial Correlations and Portfolio Optimization - Thomas ...
Econophysics III: Financial Correlations and Portfolio Optimization - Thomas ...Lake Como School of Advanced Studies
 
Econophysics II: Detailed Look at Stock Markets and Trading - Thomas Guhr
Econophysics II: Detailed Look at Stock Markets and Trading - Thomas GuhrEconophysics II: Detailed Look at Stock Markets and Trading - Thomas Guhr
Econophysics II: Detailed Look at Stock Markets and Trading - Thomas GuhrLake Como School of Advanced Studies
 
Complex Dynamics and Statistics in Hamiltonian 1-D Lattices - Tassos Bountis
Complex Dynamics and Statistics  in Hamiltonian 1-D Lattices - Tassos Bountis Complex Dynamics and Statistics  in Hamiltonian 1-D Lattices - Tassos Bountis
Complex Dynamics and Statistics in Hamiltonian 1-D Lattices - Tassos Bountis Lake Como School of Advanced Studies
 
Complexity of exact solutions of many body systems: nonequilibrium steady sta...
Complexity of exact solutions of many body systems: nonequilibrium steady sta...Complexity of exact solutions of many body systems: nonequilibrium steady sta...
Complexity of exact solutions of many body systems: nonequilibrium steady sta...Lake Como School of Advanced Studies
 

More from Lake Como School of Advanced Studies (20)

Gravitational waves data analysis - Walter Del Pozzo
Gravitational waves data analysis - Walter Del PozzoGravitational waves data analysis - Walter Del Pozzo
Gravitational waves data analysis - Walter Del Pozzo
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
 
Binary Black Holes & Tests of GR - Luis Lehner
Binary Black Holes & Tests of GR - Luis LehnerBinary Black Holes & Tests of GR - Luis Lehner
Binary Black Holes & Tests of GR - Luis Lehner
 
Ground based GW dedetctors - Giovanni Losurdo
Ground based GW dedetctors - Giovanni LosurdoGround based GW dedetctors - Giovanni Losurdo
Ground based GW dedetctors - Giovanni Losurdo
 
Gravitational Waves and Binary Systems (4) - Thibault Damour
Gravitational Waves and Binary Systems (4) - Thibault DamourGravitational Waves and Binary Systems (4) - Thibault Damour
Gravitational Waves and Binary Systems (4) - Thibault Damour
 
Gravitational Waves and Binary Systems (3) - Thibault Damour
Gravitational Waves and Binary Systems (3) - Thibault DamourGravitational Waves and Binary Systems (3) - Thibault Damour
Gravitational Waves and Binary Systems (3) - Thibault Damour
 
Gravitational Waves and Binary Systems (2) - Thibault Damour
Gravitational Waves and Binary Systems (2) - Thibault DamourGravitational Waves and Binary Systems (2) - Thibault Damour
Gravitational Waves and Binary Systems (2) - Thibault Damour
 
Gravitational Waves and Binary Systems (1) - Thibault Damour
Gravitational Waves and Binary Systems (1) - Thibault DamourGravitational Waves and Binary Systems (1) - Thibault Damour
Gravitational Waves and Binary Systems (1) - Thibault Damour
 
Econophysics VII: Credits and the Instability of the Financial System - Thoma...
Econophysics VII: Credits and the Instability of the Financial System - Thoma...Econophysics VII: Credits and the Instability of the Financial System - Thoma...
Econophysics VII: Credits and the Instability of the Financial System - Thoma...
 
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
 
Econophysics V: Market States and Subtleties of Correlations - Thomas Guhr
Econophysics V: Market  States and Subtleties of Correlations - Thomas GuhrEconophysics V: Market  States and Subtleties of Correlations - Thomas Guhr
Econophysics V: Market States and Subtleties of Correlations - Thomas Guhr
 
Econophysics III: Financial Correlations and Portfolio Optimization - Thomas ...
Econophysics III: Financial Correlations and Portfolio Optimization - Thomas ...Econophysics III: Financial Correlations and Portfolio Optimization - Thomas ...
Econophysics III: Financial Correlations and Portfolio Optimization - Thomas ...
 
Econophysics II: Detailed Look at Stock Markets and Trading - Thomas Guhr
Econophysics II: Detailed Look at Stock Markets and Trading - Thomas GuhrEconophysics II: Detailed Look at Stock Markets and Trading - Thomas Guhr
Econophysics II: Detailed Look at Stock Markets and Trading - Thomas Guhr
 
Econophysics I: Basic Concepts - Thomas Guhr
Econophysics I: Basic Concepts - Thomas GuhrEconophysics I: Basic Concepts - Thomas Guhr
Econophysics I: Basic Concepts - Thomas Guhr
 
Complex Dynamics and Statistics in Hamiltonian 1-D Lattices - Tassos Bountis
Complex Dynamics and Statistics  in Hamiltonian 1-D Lattices - Tassos Bountis Complex Dynamics and Statistics  in Hamiltonian 1-D Lattices - Tassos Bountis
Complex Dynamics and Statistics in Hamiltonian 1-D Lattices - Tassos Bountis
 
LISA Pathfinder: the complexity of free fall - Michele Armano
LISA Pathfinder: the complexity of free fall - Michele ArmanoLISA Pathfinder: the complexity of free fall - Michele Armano
LISA Pathfinder: the complexity of free fall - Michele Armano
 
Quantum chaos in clean many-body systems - Tomaž Prosen
Quantum chaos in clean many-body systems - Tomaž ProsenQuantum chaos in clean many-body systems - Tomaž Prosen
Quantum chaos in clean many-body systems - Tomaž Prosen
 
Complexity of exact solutions of many body systems: nonequilibrium steady sta...
Complexity of exact solutions of many body systems: nonequilibrium steady sta...Complexity of exact solutions of many body systems: nonequilibrium steady sta...
Complexity of exact solutions of many body systems: nonequilibrium steady sta...
 

Recently uploaded

Lucknow 💋 Russian Call Girls Lucknow Finest Escorts Service 8923113531 Availa...
Lucknow 💋 Russian Call Girls Lucknow Finest Escorts Service 8923113531 Availa...Lucknow 💋 Russian Call Girls Lucknow Finest Escorts Service 8923113531 Availa...
Lucknow 💋 Russian Call Girls Lucknow Finest Escorts Service 8923113531 Availa...anilsa9823
 
Unlocking the Potential: Deep dive into ocean of Ceramic Magnets.pptx
Unlocking  the Potential: Deep dive into ocean of Ceramic Magnets.pptxUnlocking  the Potential: Deep dive into ocean of Ceramic Magnets.pptx
Unlocking the Potential: Deep dive into ocean of Ceramic Magnets.pptxanandsmhk
 
DIFFERENCE IN BACK CROSS AND TEST CROSS
DIFFERENCE IN  BACK CROSS AND TEST CROSSDIFFERENCE IN  BACK CROSS AND TEST CROSS
DIFFERENCE IN BACK CROSS AND TEST CROSSLeenakshiTyagi
 
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...Sérgio Sacani
 
GBSN - Microbiology (Unit 1)
GBSN - Microbiology (Unit 1)GBSN - Microbiology (Unit 1)
GBSN - Microbiology (Unit 1)Areesha Ahmad
 
❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.
❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.
❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.Nitya salvi
 
Physiochemical properties of nanomaterials and its nanotoxicity.pptx
Physiochemical properties of nanomaterials and its nanotoxicity.pptxPhysiochemical properties of nanomaterials and its nanotoxicity.pptx
Physiochemical properties of nanomaterials and its nanotoxicity.pptxAArockiyaNisha
 
Biological Classification BioHack (3).pdf
Biological Classification BioHack (3).pdfBiological Classification BioHack (3).pdf
Biological Classification BioHack (3).pdfmuntazimhurra
 
Nanoparticles synthesis and characterization​ ​
Nanoparticles synthesis and characterization​  ​Nanoparticles synthesis and characterization​  ​
Nanoparticles synthesis and characterization​ ​kaibalyasahoo82800
 
Green chemistry and Sustainable development.pptx
Green chemistry  and Sustainable development.pptxGreen chemistry  and Sustainable development.pptx
Green chemistry and Sustainable development.pptxRajatChauhan518211
 
Botany 4th semester file By Sumit Kumar yadav.pdf
Botany 4th semester file By Sumit Kumar yadav.pdfBotany 4th semester file By Sumit Kumar yadav.pdf
Botany 4th semester file By Sumit Kumar yadav.pdfSumit Kumar yadav
 
GBSN - Microbiology (Unit 2)
GBSN - Microbiology (Unit 2)GBSN - Microbiology (Unit 2)
GBSN - Microbiology (Unit 2)Areesha Ahmad
 
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral Analysis
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral AnalysisRaman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral Analysis
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral AnalysisDiwakar Mishra
 
Formation of low mass protostars and their circumstellar disks
Formation of low mass protostars and their circumstellar disksFormation of low mass protostars and their circumstellar disks
Formation of low mass protostars and their circumstellar disksSérgio Sacani
 
Spermiogenesis or Spermateleosis or metamorphosis of spermatid
Spermiogenesis or Spermateleosis or metamorphosis of spermatidSpermiogenesis or Spermateleosis or metamorphosis of spermatid
Spermiogenesis or Spermateleosis or metamorphosis of spermatidSarthak Sekhar Mondal
 
Forensic Biology & Its biological significance.pdf
Forensic Biology & Its biological significance.pdfForensic Biology & Its biological significance.pdf
Forensic Biology & Its biological significance.pdfrohankumarsinghrore1
 
Chemistry 4th semester series (krishna).pdf
Chemistry 4th semester series (krishna).pdfChemistry 4th semester series (krishna).pdf
Chemistry 4th semester series (krishna).pdfSumit Kumar yadav
 
Botany krishna series 2nd semester Only Mcq type questions
Botany krishna series 2nd semester Only Mcq type questionsBotany krishna series 2nd semester Only Mcq type questions
Botany krishna series 2nd semester Only Mcq type questionsSumit Kumar yadav
 
fundamental of entomology all in one topics of entomology
fundamental of entomology all in one topics of entomologyfundamental of entomology all in one topics of entomology
fundamental of entomology all in one topics of entomologyDrAnita Sharma
 

Recently uploaded (20)

Lucknow 💋 Russian Call Girls Lucknow Finest Escorts Service 8923113531 Availa...
Lucknow 💋 Russian Call Girls Lucknow Finest Escorts Service 8923113531 Availa...Lucknow 💋 Russian Call Girls Lucknow Finest Escorts Service 8923113531 Availa...
Lucknow 💋 Russian Call Girls Lucknow Finest Escorts Service 8923113531 Availa...
 
Unlocking the Potential: Deep dive into ocean of Ceramic Magnets.pptx
Unlocking  the Potential: Deep dive into ocean of Ceramic Magnets.pptxUnlocking  the Potential: Deep dive into ocean of Ceramic Magnets.pptx
Unlocking the Potential: Deep dive into ocean of Ceramic Magnets.pptx
 
DIFFERENCE IN BACK CROSS AND TEST CROSS
DIFFERENCE IN  BACK CROSS AND TEST CROSSDIFFERENCE IN  BACK CROSS AND TEST CROSS
DIFFERENCE IN BACK CROSS AND TEST CROSS
 
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
 
GBSN - Microbiology (Unit 1)
GBSN - Microbiology (Unit 1)GBSN - Microbiology (Unit 1)
GBSN - Microbiology (Unit 1)
 
❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.
❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.
❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.
 
Physiochemical properties of nanomaterials and its nanotoxicity.pptx
Physiochemical properties of nanomaterials and its nanotoxicity.pptxPhysiochemical properties of nanomaterials and its nanotoxicity.pptx
Physiochemical properties of nanomaterials and its nanotoxicity.pptx
 
Biological Classification BioHack (3).pdf
Biological Classification BioHack (3).pdfBiological Classification BioHack (3).pdf
Biological Classification BioHack (3).pdf
 
CELL -Structural and Functional unit of life.pdf
CELL -Structural and Functional unit of life.pdfCELL -Structural and Functional unit of life.pdf
CELL -Structural and Functional unit of life.pdf
 
Nanoparticles synthesis and characterization​ ​
Nanoparticles synthesis and characterization​  ​Nanoparticles synthesis and characterization​  ​
Nanoparticles synthesis and characterization​ ​
 
Green chemistry and Sustainable development.pptx
Green chemistry  and Sustainable development.pptxGreen chemistry  and Sustainable development.pptx
Green chemistry and Sustainable development.pptx
 
Botany 4th semester file By Sumit Kumar yadav.pdf
Botany 4th semester file By Sumit Kumar yadav.pdfBotany 4th semester file By Sumit Kumar yadav.pdf
Botany 4th semester file By Sumit Kumar yadav.pdf
 
GBSN - Microbiology (Unit 2)
GBSN - Microbiology (Unit 2)GBSN - Microbiology (Unit 2)
GBSN - Microbiology (Unit 2)
 
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral Analysis
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral AnalysisRaman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral Analysis
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral Analysis
 
Formation of low mass protostars and their circumstellar disks
Formation of low mass protostars and their circumstellar disksFormation of low mass protostars and their circumstellar disks
Formation of low mass protostars and their circumstellar disks
 
Spermiogenesis or Spermateleosis or metamorphosis of spermatid
Spermiogenesis or Spermateleosis or metamorphosis of spermatidSpermiogenesis or Spermateleosis or metamorphosis of spermatid
Spermiogenesis or Spermateleosis or metamorphosis of spermatid
 
Forensic Biology & Its biological significance.pdf
Forensic Biology & Its biological significance.pdfForensic Biology & Its biological significance.pdf
Forensic Biology & Its biological significance.pdf
 
Chemistry 4th semester series (krishna).pdf
Chemistry 4th semester series (krishna).pdfChemistry 4th semester series (krishna).pdf
Chemistry 4th semester series (krishna).pdf
 
Botany krishna series 2nd semester Only Mcq type questions
Botany krishna series 2nd semester Only Mcq type questionsBotany krishna series 2nd semester Only Mcq type questions
Botany krishna series 2nd semester Only Mcq type questions
 
fundamental of entomology all in one topics of entomology
fundamental of entomology all in one topics of entomologyfundamental of entomology all in one topics of entomology
fundamental of entomology all in one topics of entomology
 

Space based Gravitational Wave Observations II - M Hewitson

  • 1. Albert Einstein Institute Max Planck Institute for Gravitational Physics and Leibniz Universität Hannover Space based Gravitational Wave Observations LISA and its pathfinder M Hewitson Institut für Gravitationsphysik der Leibniz Universität Hannover SIGRAV May 2018
  • 2. M Hewitson, LISA Detector, SIGRAV, May 2018 Does that work? • We aim for a strain sensitivity of around
 
 
 • That means we need to measure distance changes around
 
 • But frequency noise is around 2 h = L L = 10 20 1 p Hz<latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit><latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit><latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit><latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit> L =2.5 ⇥ 109 [m] ⇥ 10 20 1 p Hz =25 pm p Hz<latexit sha1_base64="DnFVyhuetGkrPhKnB+HkzVRzYcU=">AAACV3icdZHPb9MwFMedbIxSfnVw5PJEBeJC5FQrWw+TJuCwA4ch0W1SHSrHdTZrthPsl0klyj+JuOxf4QJOWySY4EmWvvq8r+3nr/NKK4+U3kTx1vadnbu9e/37Dx4+ejzYfXLqy9oJORWlLt15zr3UysopKtTyvHKSm1zLs/zqXdc/u5bOq9J+wmUlM8MvrCqU4BjQfGDZe6mRwwc4fAmjZMxQGelT+nkCM+YMmAzWCAJrXo9oywrHRZO2DfNfHDad6fhr2wJj/e6IMawNHa/Mbdd8MKTJ5GA82RsBTeiqOvEmpftjSDdkSDZ1Mh98Y4tS1EZaFJp7P0tphVnDHSqhZdtntZcVF1f8Qs6CtDyMmjWrXFp4EcgCitKFZRFW9M8dDTfeL00enIbjpb/d6+C/erMai4OsUbaqUVqxvqioNWAJXciwUE4K1MsguHAqzArikodYMHxFP4Tw+6Xwf3E6SlKapB/3hkdvN3H0yDPynLwiKdknR+SYnJApEeQ7+RFtRdvRTfQz3ol7a2scbfY8JX9VvPsL8MCx0w==</latexit><latexit sha1_base64="DnFVyhuetGkrPhKnB+HkzVRzYcU=">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</latexit><latexit sha1_base64="DnFVyhuetGkrPhKnB+HkzVRzYcU=">AAACV3icdZHPb9MwFMedbIxSfnVw5PJEBeJC5FQrWw+TJuCwA4ch0W1SHSrHdTZrthPsl0klyj+JuOxf4QJOWySY4EmWvvq8r+3nr/NKK4+U3kTx1vadnbu9e/37Dx4+ejzYfXLqy9oJORWlLt15zr3UysopKtTyvHKSm1zLs/zqXdc/u5bOq9J+wmUlM8MvrCqU4BjQfGDZe6mRwwc4fAmjZMxQGelT+nkCM+YMmAzWCAJrXo9oywrHRZO2DfNfHDad6fhr2wJj/e6IMawNHa/Mbdd8MKTJ5GA82RsBTeiqOvEmpftjSDdkSDZ1Mh98Y4tS1EZaFJp7P0tphVnDHSqhZdtntZcVF1f8Qs6CtDyMmjWrXFp4EcgCitKFZRFW9M8dDTfeL00enIbjpb/d6+C/erMai4OsUbaqUVqxvqioNWAJXciwUE4K1MsguHAqzArikodYMHxFP4Tw+6Xwf3E6SlKapB/3hkdvN3H0yDPynLwiKdknR+SYnJApEeQ7+RFtRdvRTfQz3ol7a2scbfY8JX9VvPsL8MCx0w==</latexit><latexit sha1_base64="DnFVyhuetGkrPhKnB+HkzVRzYcU=">AAACV3icdZHPb9MwFMedbIxSfnVw5PJEBeJC5FQrWw+TJuCwA4ch0W1SHSrHdTZrthPsl0klyj+JuOxf4QJOWySY4EmWvvq8r+3nr/NKK4+U3kTx1vadnbu9e/37Dx4+ejzYfXLqy9oJORWlLt15zr3UysopKtTyvHKSm1zLs/zqXdc/u5bOq9J+wmUlM8MvrCqU4BjQfGDZe6mRwwc4fAmjZMxQGelT+nkCM+YMmAzWCAJrXo9oywrHRZO2DfNfHDad6fhr2wJj/e6IMawNHa/Mbdd8MKTJ5GA82RsBTeiqOvEmpftjSDdkSDZ1Mh98Y4tS1EZaFJp7P0tphVnDHSqhZdtntZcVF1f8Qs6CtDyMmjWrXFp4EcgCitKFZRFW9M8dDTfeL00enIbjpb/d6+C/erMai4OsUbaqUVqxvqioNWAJXciwUE4K1MsguHAqzArikodYMHxFP4Tw+6Xwf3E6SlKapB/3hkdvN3H0yDPynLwiKdknR+SYnJApEeQ7+RFtRdvRTfQz3ol7a2scbfY8JX9VvPsL8MCx0w==</latexit> ˜xfreq =0.9 mm p Hz<latexit sha1_base64="JPhEdtOWsH+t5Nun+9feaPC6jEQ=">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</latexit><latexit sha1_base64="JPhEdtOWsH+t5Nun+9feaPC6jEQ=">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</latexit><latexit sha1_base64="JPhEdtOWsH+t5Nun+9feaPC6jEQ=">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</latexit><latexit sha1_base64="JPhEdtOWsH+t5Nun+9feaPC6jEQ=">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</latexit>
  • 3. M Hewitson, LISA Detector, SIGRAV, May 2018 Cancelling frequency noise • We need to do something to cancel the frequency noise that’s introduced in the long- arm interferometer
 • Use a concept called Time Delay Interferometery 3
  • 4. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements in one arm 4
  • 5. M Hewitson, LISA Detector, SIGRAV, May 2018 LISA measurements and TDI • What follows next is vastly simplified, just to get the idea across • More detailed (correct) derivations are in: • Otto, Time-Delay Interferometry Simulations for LISA, PhD Thesis 2015 • Tinto & Dhurandhar, Time-Delay Interferometry, Living Reviews, Dec 2005 • https://link.springer.com/article/10.12942/lrr-2005-4 5
  • 6. M Hewitson, LISA Detector, SIGRAV, May 2018 All measurements and notation • Each S/C contains two optical benches • X and X’ • Arms are labelled as opposite vertex 6 H1<latexit sha1_base64="7NRPR5CnFc3ZdfNK+YZB2heg7xE=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjZxRvmAX7Ua5VikjQ1YwpNGol+wqclKlACnao/z7cBySOKBCE46VGjh2pN0ES80Ip4vcMFY0wmSGJ3RgqMABVW6yOnWBLowyRn4oTQmNVur3iQQHSs0Dz3QGWE/Vb28p/uUNYu3X3YSJKNZUkPUiP+ZIh2j5NxozSYnmc0MwkczcisgUS0y0SSdnQvj6FP1PuqWiYxedm0qheZXGkYUzOIdLcKAGTWhBGzpAYAIP8ATPFrcerRfrdd2asdKZU/gB6+0TF82Nqw==</latexit><latexit sha1_base64="7NRPR5CnFc3ZdfNK+YZB2heg7xE=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjZxRvmAX7Ua5VikjQ1YwpNGol+wqclKlACnao/z7cBySOKBCE46VGjh2pN0ES80Ip4vcMFY0wmSGJ3RgqMABVW6yOnWBLowyRn4oTQmNVur3iQQHSs0Dz3QGWE/Vb28p/uUNYu3X3YSJKNZUkPUiP+ZIh2j5NxozSYnmc0MwkczcisgUS0y0SSdnQvj6FP1PuqWiYxedm0qheZXGkYUzOIdLcKAGTWhBGzpAYAIP8ATPFrcerRfrdd2asdKZU/gB6+0TF82Nqw==</latexit><latexit sha1_base64="7NRPR5CnFc3ZdfNK+YZB2heg7xE=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjZxRvmAX7Ua5VikjQ1YwpNGol+wqclKlACnao/z7cBySOKBCE46VGjh2pN0ES80Ip4vcMFY0wmSGJ3RgqMABVW6yOnWBLowyRn4oTQmNVur3iQQHSs0Dz3QGWE/Vb28p/uUNYu3X3YSJKNZUkPUiP+ZIh2j5NxozSYnmc0MwkczcisgUS0y0SSdnQvj6FP1PuqWiYxedm0qheZXGkYUzOIdLcKAGTWhBGzpAYAIP8ATPFrcerRfrdd2asdKZU/gB6+0TF82Nqw==</latexit><latexit sha1_base64="7NRPR5CnFc3ZdfNK+YZB2heg7xE=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjZxRvmAX7Ua5VikjQ1YwpNGol+wqclKlACnao/z7cBySOKBCE46VGjh2pN0ES80Ip4vcMFY0wmSGJ3RgqMABVW6yOnWBLowyRn4oTQmNVur3iQQHSs0Dz3QGWE/Vb28p/uUNYu3X3YSJKNZUkPUiP+ZIh2j5NxozSYnmc0MwkczcisgUS0y0SSdnQvj6FP1PuqWiYxedm0qheZXGkYUzOIdLcKAGTWhBGzpAYAIP8ATPFrcerRfrdd2asdKZU/gB6+0TF82Nqw==</latexit> H2<latexit sha1_base64="PN4wNZUhaLngIlj1c0H6XCIcqxs=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjUqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGVGNrA==</latexit><latexit sha1_base64="PN4wNZUhaLngIlj1c0H6XCIcqxs=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjUqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGVGNrA==</latexit><latexit sha1_base64="PN4wNZUhaLngIlj1c0H6XCIcqxs=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjUqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGVGNrA==</latexit><latexit sha1_base64="PN4wNZUhaLngIlj1c0H6XCIcqxs=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjUqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGVGNrA==</latexit> H3<latexit sha1_base64="9BZTXOGbOGygMfOREdw2MUB1law=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjcqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGtWNrQ==</latexit><latexit sha1_base64="9BZTXOGbOGygMfOREdw2MUB1law=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjcqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGtWNrQ==</latexit><latexit sha1_base64="9BZTXOGbOGygMfOREdw2MUB1law=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjcqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGtWNrQ==</latexit><latexit sha1_base64="9BZTXOGbOGygMfOREdw2MUB1law=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjcqjfMEu2o1yrVJGhqxgSKNRL9lV5KRKAVK0R/n34TgkcUCFJhwrNXDsSLsJlpoRThe5YaxohMkMT+jAUIEDqtxkdeoCXRhljPxQmhIardTvEwkOlJoHnukMsJ6q395S/MsbxNqvuwkTUaypIOtFfsyRDtHybzRmkhLN54ZgIpm5FZEplphok07OhPD1KfqfdEtFxy46N5VC8yqNIwtncA6X4EANmtCCNnSAwAQe4AmeLW49Wi/W67o1Y6Uzp/AD1tsnGtWNrQ==</latexit> 10 <latexit sha1_base64="BQrSOF6TeIS/kiSI8m+2Zd+VNE8=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXTrnA0LRbtkNyq1agUZsoQhjUa9bF8gJ1WKkKI1LLwPRiGJAyo04VipvmNH2k2w1IxwOs8NYkUjTKZ4TPuGChxQ5SbLS+fo1Cgj5IfSlNBoqX6fSHCg1CzwTGeA9UT99hbiX14/1n7dTZiIYk0FWS3yY450iBZvoxGTlGg+MwQTycytiEywxESbcHImhK9P0f+kUy45dsm5qRabl2kcWTiGEzgHB2rQhGtoQRsI+PAAT/BsTa1H68V6XbVmrHTmCH7AevsEMBqNIQ==</latexit><latexit sha1_base64="BQrSOF6TeIS/kiSI8m+2Zd+VNE8=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXTrnA0LRbtkNyq1agUZsoQhjUa9bF8gJ1WKkKI1LLwPRiGJAyo04VipvmNH2k2w1IxwOs8NYkUjTKZ4TPuGChxQ5SbLS+fo1Cgj5IfSlNBoqX6fSHCg1CzwTGeA9UT99hbiX14/1n7dTZiIYk0FWS3yY450iBZvoxGTlGg+MwQTycytiEywxESbcHImhK9P0f+kUy45dsm5qRabl2kcWTiGEzgHB2rQhGtoQRsI+PAAT/BsTa1H68V6XbVmrHTmCH7AevsEMBqNIQ==</latexit><latexit sha1_base64="BQrSOF6TeIS/kiSI8m+2Zd+VNE8=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXTrnA0LRbtkNyq1agUZsoQhjUa9bF8gJ1WKkKI1LLwPRiGJAyo04VipvmNH2k2w1IxwOs8NYkUjTKZ4TPuGChxQ5SbLS+fo1Cgj5IfSlNBoqX6fSHCg1CzwTGeA9UT99hbiX14/1n7dTZiIYk0FWS3yY450iBZvoxGTlGg+MwQTycytiEywxESbcHImhK9P0f+kUy45dsm5qRabl2kcWTiGEzgHB2rQhGtoQRsI+PAAT/BsTa1H68V6XbVmrHTmCH7AevsEMBqNIQ==</latexit><latexit sha1_base64="BQrSOF6TeIS/kiSI8m+2Zd+VNE8=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXTrnA0LRbtkNyq1agUZsoQhjUa9bF8gJ1WKkKI1LLwPRiGJAyo04VipvmNH2k2w1IxwOs8NYkUjTKZ4TPuGChxQ5SbLS+fo1Cgj5IfSlNBoqX6fSHCg1CzwTGeA9UT99hbiX14/1n7dTZiIYk0FWS3yY450iBZvoxGTlGg+MwQTycytiEywxESbcHImhK9P0f+kUy45dsm5qRabl2kcWTiGEzgHB2rQhGtoQRsI+PAAT/BsTa1H68V6XbVmrHTmCH7AevsEMBqNIQ==</latexit> 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 2<latexit sha1_base64="KU+tyW5M1jGGrmjQ3+aDnDOkOlY=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTjrJmNkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCorcJYMmyxUISy61GFggfY0lwL7EYSqe8J7HjT64XfuUepeBjc6lmErk/HAR9xRrWRmqVBvmAX7dpFpXxBDFnCkFqtWrIviZMqBUjRGOTf+8OQxT4GmgmqVM+xI+0mVGrOBM5z/VhhRNmUjrFnaEB9VG6yPHROzowyJKNQmgo0WarfJxLqKzXzPdPpUz1Rv72F+JfXi/Wo6iY8iGKNAVstGsWC6JAsviZDLpFpMTOEMsnNrYRNqKRMm2xyJoSvT8n/pF0qOnbRaZYL9as0jiycwCmcgwMVqMMNNKAFDBAe4AmerTvr0XqxXletGSudOYYfsN4+AdFejPE=</latexit><latexit sha1_base64="KU+tyW5M1jGGrmjQ3+aDnDOkOlY=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTjrJmNkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCorcJYMmyxUISy61GFggfY0lwL7EYSqe8J7HjT64XfuUepeBjc6lmErk/HAR9xRrWRmqVBvmAX7dpFpXxBDFnCkFqtWrIviZMqBUjRGOTf+8OQxT4GmgmqVM+xI+0mVGrOBM5z/VhhRNmUjrFnaEB9VG6yPHROzowyJKNQmgo0WarfJxLqKzXzPdPpUz1Rv72F+JfXi/Wo6iY8iGKNAVstGsWC6JAsviZDLpFpMTOEMsnNrYRNqKRMm2xyJoSvT8n/pF0qOnbRaZYL9as0jiycwCmcgwMVqMMNNKAFDBAe4AmerTvr0XqxXletGSudOYYfsN4+AdFejPE=</latexit><latexit sha1_base64="KU+tyW5M1jGGrmjQ3+aDnDOkOlY=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTjrJmNkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCorcJYMmyxUISy61GFggfY0lwL7EYSqe8J7HjT64XfuUepeBjc6lmErk/HAR9xRrWRmqVBvmAX7dpFpXxBDFnCkFqtWrIviZMqBUjRGOTf+8OQxT4GmgmqVM+xI+0mVGrOBM5z/VhhRNmUjrFnaEB9VG6yPHROzowyJKNQmgo0WarfJxLqKzXzPdPpUz1Rv72F+JfXi/Wo6iY8iGKNAVstGsWC6JAsviZDLpFpMTOEMsnNrYRNqKRMm2xyJoSvT8n/pF0qOnbRaZYL9as0jiycwCmcgwMVqMMNNKAFDBAe4AmerTvr0XqxXletGSudOYYfsN4+AdFejPE=</latexit><latexit sha1_base64="KU+tyW5M1jGGrmjQ3+aDnDOkOlY=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTjrJmNkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCorcJYMmyxUISy61GFggfY0lwL7EYSqe8J7HjT64XfuUepeBjc6lmErk/HAR9xRrWRmqVBvmAX7dpFpXxBDFnCkFqtWrIviZMqBUjRGOTf+8OQxT4GmgmqVM+xI+0mVGrOBM5z/VhhRNmUjrFnaEB9VG6yPHROzowyJKNQmgo0WarfJxLqKzXzPdPpUz1Rv72F+JfXi/Wo6iY8iGKNAVstGsWC6JAsviZDLpFpMTOEMsnNrYRNqKRMm2xyJoSvT8n/pF0qOnbRaZYL9as0jiycwCmcgwMVqMMNNKAFDBAe4AmerTvr0XqxXletGSudOYYfsN4+AdFejPE=</latexit> 20 <latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> 3<latexit sha1_base64="f8GCqh4n68Xhzq/gNZOxUK4BTSQ=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKewmkSS3oBePCZgHJEuYnXSS0dkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCoo8JYMmyzUISy51GFggfY1lwL7EUSqe8J7Hp3Vwu/e49S8TC40bMIXZ9OAj7mjGojtcrDfMEu2vVytVImhixhSL1eK9kXxEmVAqRoDvPvg1HIYh8DzQRVqu/YkXYTKjVnAue5QawwouyOTrBvaEB9VG6yPHROzowyIuNQmgo0WarfJxLqKzXzPdPpUz1Vv72F+JfXj/W45iY8iGKNAVstGseC6JAsviYjLpFpMTOEMsnNrYRNqaRMm2xyJoSvT8n/pFMqOnbRaVUKjcs0jiycwCmcgwNVaMA1NKENDBAe4AmerVvr0XqxXletGSudOYYfsN4+AdLijPI=</latexit><latexit sha1_base64="f8GCqh4n68Xhzq/gNZOxUK4BTSQ=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKewmkSS3oBePCZgHJEuYnXSS0dkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCoo8JYMmyzUISy51GFggfY1lwL7EUSqe8J7Hp3Vwu/e49S8TC40bMIXZ9OAj7mjGojtcrDfMEu2vVytVImhixhSL1eK9kXxEmVAqRoDvPvg1HIYh8DzQRVqu/YkXYTKjVnAue5QawwouyOTrBvaEB9VG6yPHROzowyIuNQmgo0WarfJxLqKzXzPdPpUz1Vv72F+JfXj/W45iY8iGKNAVstGseC6JAsviYjLpFpMTOEMsnNrYRNqaRMm2xyJoSvT8n/pFMqOnbRaVUKjcs0jiycwCmcgwNVaMA1NKENDBAe4AmerVvr0XqxXletGSudOYYfsN4+AdLijPI=</latexit><latexit sha1_base64="f8GCqh4n68Xhzq/gNZOxUK4BTSQ=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKewmkSS3oBePCZgHJEuYnXSS0dkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCoo8JYMmyzUISy51GFggfY1lwL7EUSqe8J7Hp3Vwu/e49S8TC40bMIXZ9OAj7mjGojtcrDfMEu2vVytVImhixhSL1eK9kXxEmVAqRoDvPvg1HIYh8DzQRVqu/YkXYTKjVnAue5QawwouyOTrBvaEB9VG6yPHROzowyIuNQmgo0WarfJxLqKzXzPdPpUz1Vv72F+JfXj/W45iY8iGKNAVstGseC6JAsviYjLpFpMTOEMsnNrYRNqaRMm2xyJoSvT8n/pFMqOnbRaVUKjcs0jiycwCmcgwNVaMA1NKENDBAe4AmerVvr0XqxXletGSudOYYfsN4+AdLijPI=</latexit><latexit sha1_base64="f8GCqh4n68Xhzq/gNZOxUK4BTSQ=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKewmkSS3oBePCZgHJEuYnXSS0dkHM7NCWPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxJcadv+sDJr6xubW9nt3M7u3v5B/vCoo8JYMmyzUISy51GFggfY1lwL7EUSqe8J7Hp3Vwu/e49S8TC40bMIXZ9OAj7mjGojtcrDfMEu2vVytVImhixhSL1eK9kXxEmVAqRoDvPvg1HIYh8DzQRVqu/YkXYTKjVnAue5QawwouyOTrBvaEB9VG6yPHROzowyIuNQmgo0WarfJxLqKzXzPdPpUz1Vv72F+JfXj/W45iY8iGKNAVstGseC6JAsviYjLpFpMTOEMsnNrYRNqaRMm2xyJoSvT8n/pFMqOnbRaVUKjcs0jiycwCmcgwNVaMA1NKENDBAe4AmerVvr0XqxXletGSudOYYfsN4+AdLijPI=</latexit> 30 <latexit sha1_base64="q5GRXYLiqaxs4duBbvTXNBrOyTY=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbORsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMySNIw==</latexit><latexit sha1_base64="q5GRXYLiqaxs4duBbvTXNBrOyTY=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbORsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMySNIw==</latexit><latexit sha1_base64="q5GRXYLiqaxs4duBbvTXNBrOyTY=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbORsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMySNIw==</latexit><latexit sha1_base64="q5GRXYLiqaxs4duBbvTXNBrOyTY=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbORsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMySNIw==</latexit>
  • 7. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements in one S/C 7
  • 8. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements in one S/C 7
  • 9. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements in one S/C 7
  • 10. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements: Science Interferometer(s) 8 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 20 <latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
  • 11. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements: Science Interferometer(s) 8 measured path- length change due to phase difference between local laser and received light 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 20 <latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">AAACP3icdVBLSwMxGMz6tr6qHr18WHwhLlnXR3sQRD14EgVbhbYs2TTVYPZBkhXKsv/Mi3/Bm1cvHhTx6s1sW0FFPwhMZuYjmfFjwZXG+NEaGBwaHhkdGy9MTE5NzxRn52oqSiRlVRqJSF76RDHBQ1bVXAt2GUtGAl+wC//mMNcvbplUPArPdSdmzYBchbzNKdGG8oo15TmwtwzHngvr0AiIvqZEpEfZahp76eZKlq3BBsTGtPFTbRwxoUnW9eSW3t341uHEc7xiCdvYrTi7LmDb3XHLWzmoVMruNgbHxt0pof6cesWHRiuiScBCTQVRqu7gWDdTIjWngmWFRqJYTOgNuWJ1A0MSMNVMu/kzWDJMC9qRNCfU0GW/b6QkUKoT+MaZR1C/tZz8S6snul1upjyME81C2nuonQjQEeRlQotLRrXoGECo5OavQK+JJFSbygumhK+k8D+obdoOtp2zrdL+Qb+OMbSAFtEqctAu2kfH6BRVEUV36Am9oFfr3nq23qz3nnXA6u/Mox9jfXwCsmGrOA==</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
  • 12. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements: Science Interferometer(s) 8 measured path- length change due to phase difference between local laser and received light path-length change due to GW signal 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 20 <latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
  • 13. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements: Science Interferometer(s) 8 measured path- length change due to phase difference between local laser and received light path-length change due to GW signal path-length change due to phase noise of far S/C (delayed) 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 20 <latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
  • 14. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements: Science Interferometer(s) 8 measured path- length change due to phase difference between local laser and received light path-length change due to GW signal path-length change due to phase noise of far S/C (delayed) path-length change due phase noise in local S/C 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 20 <latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
  • 15. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements: Science Interferometer(s) 8 measured path- length change due to phase difference between local laser and received light path-length change due to GW signal path-length change due to phase noise of far S/C (delayed) path-length change due phase noise in local S/C path-length changes due to motion of far 
 S/C (delayed) 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 20 <latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
  • 16. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements: Science Interferometer(s) 8 measured path- length change due to phase difference between local laser and received light path-length change due to GW signal path-length change due to phase noise of far S/C (delayed) path-length change due phase noise in local S/C path-length changes due to motion of far 
 S/C (delayed) path-length changes due to motion of local S/C 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 20 <latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
  • 17. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements: Science Interferometer(s) 8 measured path- length change due to phase difference between local laser and received light path-length change due to GW signal path-length change due to phase noise of far S/C (delayed) path-length change due phase noise in local S/C path-length changes due to motion of far 
 S/C (delayed) path-length changes due to motion of local S/C 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 20 <latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">AAACP3icdVBLSwMxGMz6tr6qHr18WHwhLlnXR3sQRD14EgVbhbYs2TTVYPZBkhXKsv/Mi3/Bm1cvHhTx6s1sW0FFPwhMZuYjmfFjwZXG+NEaGBwaHhkdGy9MTE5NzxRn52oqSiRlVRqJSF76RDHBQ1bVXAt2GUtGAl+wC//mMNcvbplUPArPdSdmzYBchbzNKdGG8oo15TmwtwzHngvr0AiIvqZEpEfZahp76eZKlq3BBsTGtPFTbRwxoUnW9eSW3t341uHEc7xiCdvYrTi7LmDb3XHLWzmoVMruNgbHxt0pof6cesWHRiuiScBCTQVRqu7gWDdTIjWngmWFRqJYTOgNuWJ1A0MSMNVMu/kzWDJMC9qRNCfU0GW/b6QkUKoT+MaZR1C/tZz8S6snul1upjyME81C2nuonQjQEeRlQotLRrXoGECo5OavQK+JJFSbygumhK+k8D+obdoOtp2zrdL+Qb+OMbSAFtEqctAu2kfH6BRVEUV36Am9oFfr3nq23qz3nnXA6u/Mox9jfXwCsmGrOA==</latexit> Noise in IFO readout, e.g. shot noise