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Gravitational Lensing
Filipe B. Abdalla
Apparent deflection angle α
• = 4 G M / (c2 b)
• NB. Independent of light wavelength
b
Observer
Dark matter halos
Background sources
 Statistical measure of shear pattern, ~1% distortion
 Radial distances depend on geometry of Universe
 Foreground mass distribution depends on growth of structure
Dark matter halos
Background sources
Dark matter halos
Background sources
Dark matter halos
Observer
Background sources
Dark matter halos
Observer
Dark matter halos
Background sources
 Statistical measure of shear pattern, ~1% distortion
 Radial distances depend on geometry of Universe
 Foreground mass distribution depends on growth of structure
Dark matter halos
Background sources
Dark matter halos
Background sources
Dark matter halos
Observer
Background sources
Dark matter halos
Mass Mapping CFHTLS
Cluster Weak Lensing
• Weak Lensing
measures cluster
masses, which are
needed to use them
as Dark Energy
probes
• Preliminary cluster
mass map (contours)
from DES Weak
Lensing
Cosmic shear two point tomography
Cosmic shear two point tomography
Cosmic shear two point tomography
Data from CFHTLS
Three problems with lensing:
for either tomography and cluster mass
measurements:
• Measuring shapes
• Photometric redshifts
• Intrinsic alignments
Measuring the shear!
Measuring shapes
is hard
Galaxy spectrum at 2 different redshifts,
overlaid on griz and IR bandpasses
• Photometric redshifts
(photo-z’s) are determined
from the fluxes of galaxies
through a set of filters
• May be thought of as
low-resolution
spectroscopy
• Photo-z signal comes
primarily from strong
galaxy spectral
features, like the 4000 Å
break, as they redshift
through the filter
bandpasses
Photometric Redshifts
Hyper-Z: the first photo-z code
• Simple chi squared fit
of fluxes to the data
• Very simple and very
successful
• Has limitations:
- Degeneracy, flat chi
squared
- Mis-identification of
features
- contamination from
AGN
- are errors reliable?
Credit: M. Bolzonella
from DES Test Data in November
High Redshift Cluster Discovered by
DES
Cosmic shear
Additional
contributions
What we
measure
Intrinsic alignements.
Intrinsic-shear correlation (GI)
Hirata&Seljak
High z galaxy gravitationally
sheared tangentially
Dark matter at z1 Net anti-correlation
between galaxy
ellipticities with no
prefered scale
Galaxy at z1 is tidally sheared
END

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An Overview of Gravitational Lensing

  • 2. Apparent deflection angle α • = 4 G M / (c2 b) • NB. Independent of light wavelength b
  • 3. Observer Dark matter halos Background sources  Statistical measure of shear pattern, ~1% distortion  Radial distances depend on geometry of Universe  Foreground mass distribution depends on growth of structure Dark matter halos Background sources Dark matter halos Background sources Dark matter halos Observer Background sources Dark matter halos
  • 4. Observer Dark matter halos Background sources  Statistical measure of shear pattern, ~1% distortion  Radial distances depend on geometry of Universe  Foreground mass distribution depends on growth of structure Dark matter halos Background sources Dark matter halos Background sources Dark matter halos Observer Background sources Dark matter halos
  • 6. Cluster Weak Lensing • Weak Lensing measures cluster masses, which are needed to use them as Dark Energy probes • Preliminary cluster mass map (contours) from DES Weak Lensing
  • 7. Cosmic shear two point tomography
  • 8. Cosmic shear two point tomography
  • 9. Cosmic shear two point tomography
  • 11. Three problems with lensing: for either tomography and cluster mass measurements: • Measuring shapes • Photometric redshifts • Intrinsic alignments
  • 14. Galaxy spectrum at 2 different redshifts, overlaid on griz and IR bandpasses • Photometric redshifts (photo-z’s) are determined from the fluxes of galaxies through a set of filters • May be thought of as low-resolution spectroscopy • Photo-z signal comes primarily from strong galaxy spectral features, like the 4000 Å break, as they redshift through the filter bandpasses Photometric Redshifts
  • 15. Hyper-Z: the first photo-z code • Simple chi squared fit of fluxes to the data • Very simple and very successful • Has limitations: - Degeneracy, flat chi squared - Mis-identification of features - contamination from AGN - are errors reliable? Credit: M. Bolzonella
  • 16. from DES Test Data in November High Redshift Cluster Discovered by DES
  • 18. Intrinsic-shear correlation (GI) Hirata&Seljak High z galaxy gravitationally sheared tangentially Dark matter at z1 Net anti-correlation between galaxy ellipticities with no prefered scale Galaxy at z1 is tidally sheared
  • 19. END