Interferometric sensors offer the highest accuracy in optical metrology, but a basic problem is all systems of this type is how to transduce optical information from an interferometer to an electrical signal with sufficient accuracy and reproducibility, over a reasonable large measurement range with re-initialization capability thus avoiding that optical information being lost. A general interferometric technique providing the above capabilities is often called as “Low Coherence Interferometry (LCI)”, also known, as “White-Light” Interferometry (WLI)”. This talk will review the main characteristics, configurations and methods of using this interferometric technique on the interrogation and multiplexing of fiber optic sensors. Then, its evolution and application towards biomedical optical imaging (namely, optical coherence tomography - OCT), will be addressed taking into consideration, the optical source characteristics used and the different interferometric configuration schemes.
Low Coherence Interferometry: From Sensor Multiplexing to Biomedical Imaging
1. Low
Coherence
Interferometry:
From
Sensor
Mul7plexing
to
Biomedical
Imaging
António
Lobo
(PhD,
MSc,
EMBA)
Summer
School
AOP
2012
Porto,
June
28-‐29,
2012
2. Outline
§ Some
history…
§ LCI
in
op7cal
fiber
sensors
• General
concepts
• Sensor
mul7plexing
§ LCI
in
medical
imaging
• Op7cal
Coherence
Tomography
(OCT)
• OCT
op7cal
sources
• OCT
modali7es
3. Some
history...
§ Low
Coherence
Interferometry:
Sensing
Applica7ons
• 1983
–
Al-‐Chalabi,
B.
Culshaw,
D.E.N.
Davies,
Univ.
College
London,
UK
(First
Interna7onal
Conference
on
Op7cal
Fiber
Sensors,
OFS’1,
London)
• First
demonstra7on
of
the
coherence
mul7plexing
in
sensors
• The
system
was
not
patented
!
4. Some
history...
§ Low
Coherence
Interferometry:
Metrology
• 1987
–
R.
Youngquist,
S.
Carr,
D.E.N.
Davies
–
Op#cs
Le)ers
12
(3),
158-‐160.
• First
demonstra7on
on
optoelectronic
metrology
• Op#cal
Coherence-‐Domain
Reflectometry
(OCDR)
5. Some
history...
§ Low
Coherence
Interferometry:
Medical
Applica7ons
• 1986
–
A.
Fercher,
E.
Roth,
Medical
Univ.
Vienna,
Austria
(SPIE
Conference
on
Op#cal
Instrumenta#on
for
Biomedical
Laser
Applica#ons)
• 1988
–
A.
Fercher,
K.
Mengedoht,
et.al.
-‐
Op#cs
Le)ers
13
(3),
186-‐188.
• Par#ally
Coherence
Interferometry
6. Some
history...
§ Low
Coherence
Interferometry:
Medical
Applica7ons
• 1986
–
J.
Fugimoto,
et.al.,
M.I.T.,
USA.
-‐
Op#cs
Le)ers
11
(3),
150-‐152.
• Intensity
Correla#on
• 1991
–
J.
Fujimoto,
et.al.
–
Science
254,
1178-‐1181.
• 1st
image
in-‐vitro
–
Op#cal
Coherence
Tomography
(OCT)
1st
Human
re7na
(in-‐vitro)
OCT
image
[axial
resolu7on:
15
μm,
wavelength.
830
nm]
7. General
Concepts
§ Low
Coherence
(or
“white-‐light”)
Interferometry
DC
terms
auto-‐correla7on
terms
cross-‐correla7on
terms
(important
for
Imaging)
n Σ
E(t ) = Eref (t )+ Esampl (t +τ n )
=
n Σ
= Eref (t )+ Esampl (t + Δzn c)
I = E*(t ) ⋅E(t )
n Σ
⎡
I (τ ) = I0 ar + an
⎣ ⎢
⎤
⎦ ⎥
+
+2I0 anam Re{γ ss (τ nm )}
Σ +
m≠n
+2I0 anar Re γ (τ n { )}
n Σ
8. General
Concepts
§ Low
Coherence
(or
“white-‐light”)
Interferometry
n Σ
func7on
that
depends
on
the
source
spectrum
profile
Coherent
source
(ideal
laser)
low
coherence
source
(LED,
SLD,
Lamp,…)
axial
posi7on,
z
axial
posi7on,
z
OPD:
Op7cal
Path
Difference
I (τ r ) = Const + 2I0 anam ⋅ γ (τ n )
⋅ cos(ωτ n )
γ (τ ) = γ (τ ) e−iωτ
cos(ωτ n ) = cos 2πν n
Δz
c
⎛⎝ ⎜
⎞⎠ ⎟
= cos
2π
λ nΔz
⎛⎝ ⎜
⎞⎠ ⎟
9. General
Concepts
§ Low
Coherence
(or
“white-‐light”)
Interferometry
• Why?
§ Sensor
ini7aliza7on
on
“powering-‐up”
§ Non-‐ambiguous
dynamic
range
can
be
very
large
§ The
system
can
be
operated
such
that:
§ (a)
the
measurement
accuracy
is
independent
of
the
source
stability
§ (b)
the
effects
of
wavelength
instability
of
the
source
are
greatly
reduced
§ The
output
signals
from
many
sensors
can
be
mul7plexed
§ Remote
sensor
tracking
possible
(tandem
configura#on)
§ No
op7cal
isolator
required
(…in
principle!!)
• Problems?
§ In
“tandem
configura7on”
requires
a
second
stable
interferometer
§ Op7cal
power
available
from
typical
short
coherence
sources
are
low
10. General
Concepts
§ Low
Coherence
Interferometry:
Tandem
Configura7on
ΔLR
ΔLS
LCS
ID
I0
≈ 1+ γ (ΔLS ) cos
2π n
λ
ΔLS
⎛⎝ ⎜
⎞⎠ ⎟
+ γ (ΔLR ) cos
2π n
λ
ΔLR
⎛⎝ ⎜
⎞⎠ ⎟
+ 2 γ (ΔLS ± ΔLR ) cos
2π n
λ
(ΔLS ± ΔLR )
⎛⎝ ⎜
⎞⎠ ⎟
•
LCS
with
Gaussian
spectrum
•
ΔLS
>>
coherence
length
of
LCS!
12. General
Concepts
§ Low
Coherence
Interferometry:
Tandem
Configura7on
• How
to
extend
further
the
non-‐ambiguous
dynamic
range?
LCS
@
λ1
LCS
@
λ2
ΔLR
ΔLS
φ1 = 2π n
λ1
(ΔLS − ΔLR )
φe = 2π n
λe
(ΔLS − ΔLR )
λe =
λ1λ2
λ1 − λ2
A.B.
Lobo
Ribeiro
et.al.,
Opt.
Commun.109,
400-‐404
(1994).
13. Op7cal
Sources
for
LCI
§ Ideal
characteris7cs
for
fiber
sensors
• High
output
op7cal
power
• Wavelength
emission
around
1550
nm
(3rd
telecom
window)
• Smooth
(no
ripple)
“Ideal”
Gaussian
spectrum
profile
• Spectral
bandwidth
(FWHM)
larger
as
possible
• Non-‐polarized
output
• Spectrally
stable
against
back-‐reflec7ons
(op7cal
isolator?)
• Singlemode
Fiber
op7c
pigtailed
• Low
cost
(…
as
always!!)
14. Op7cal
Sources
for
LCI
§ Light-‐Emiwng
Diode
(LED)
• Low
output
power
in
fiber
(μW)
• MM
or
SM
fiber
pigtailed
Measured
with
a
Michelson
interferometer
S-‐LED
IRE-‐161
λ
=
830
nm
Δλ
=
45
nm
Normalized
visibility
func7on
OPD
(μm)
15. Op7cal
Sources
for
LCI
§ Mul7mode
Laser
Diode
(MM-‐LD)
• High
output
power
in
SMF
pigtailed
fiber
• But…imposes
some
opera7onal
restric7on
on
sensor
OPD
Normalized
visibility
func7on
Measured
with
a
Michelson
interferometer
OPD
(mm)
16. Op7cal
Sources
for
LCI
§ Superluminescent
Diode
(SLD)
• “High”
output
power
in
fiber
(2
to
25
mW,
depending
on
λ)
• Singlemode
fiber
pigtailed
Courtesy
of
Superlum
Ltd.
17. Op7cal
Sources
for
LCI
§ ASE
Fiber
Sources
• High
output
power
on
fiber
(>50
mW)
• Central
wavelength
emission
(typ.):
1550
nm,
1060
nm
Courtesy
of
Mul7wave
Photonics
S.A.
Dimensions (mm): 120 x 90 x 22.2"
18. LCI
in
Sensor
Mul7plexing
§ Coherence
Division
Mul7plexing
(CDM)
• Each
sensor
must
have
different
OPD
• Receiver
interferometer
needs
large
tuning
range
• Demonstrated
with
polarimetric
sensors
ΔLR
ΔL1
LCS
ΔL2
J.L.
Santos
and
A.P.
Leite,
Proc.
Conf.
OFS’9,
59-‐62
(1993).
A.B.
Lobo
Ribeiro
et.al.,
Fiber
&
Integrated
Op7cs
24,
171-‐199
(2005)
S1
S2
19. LCI
in
Sensor
Mul7plexing
§ CDM
+
Spa7al
Division
Mul7plexing
(SDM)
• Each
sensor
can
have
iden7cal
OPD
• Receiver
interferometer
needs
smaller
tuning
range
ΔL1 LCS
ΔLR
ΔL2
A.B.
Lobo
Ribeiro
et.al.,
Proc.
Conf.
OFS’9,
63-‐66
(1993).
21. LCI
Processing
§ Phase
Domain
Processing
• Fringe
pa|ern
analysis
is
done
by
measuring
the
op7cal
phase
varia7on:
§ Temporal
fringe
processing
(modula7ng
the
OPD
of
the
receiver
interferometer)
§ Spa7al
fringe
processing
(CCD
detec7on
and
fringe
coun7ng)
• OPD
of
the
sensing
interferometer
must
be
greater
than
coherence
length
of
the
source
⇒
no
interference
is
observed.
22. LCI
Processing
§ Spectral
Domain
Processing
• Fringe
pa|ern
analysis
is
done
using
a
Op7cal
Spectrum
Analyzer
(OSA)
• Free
spectral
range
(FSR):
Normalized
output
2
nΔL
Wavelength,
λ
(nm)
Gaussian
source:
FSRλ =
λ0
24. Low
Coherence
Imaging
§ OLCR
on
Biomedical
Applica7ons?
• Proper
choice
of
op7cal
source
is
necessary.
§ Wavelength
§ Spectral
bandwidth
§ Output
op7cal
power
Biological
7ssue
25. Low
Coherence
Imaging
§ Op7cal
Coherence
Tomography
(OCT)
• Already
an
establish
medical
imaging
technique
• Ophthalmology,
Cardiology,
Dermatology,
etc.
1D
Axial
scanning
(Z)
2D
Axial
scanning
(Z)
Transverse
scanning
(X)
3D
Axial
scanning
(Z)
XY
Scanning
Backreflected
intensity
Axial
posi7on
(penetra7on
depth)
W.
Drexler
and
J.G.
Fugimoto,
Op#cal
Coherence
Tomography:
Technology
and
Applica#ons,
Springer,
2008
26. Low
Coherence
Imaging
§ Op7cal
Coherence
Tomography
(OCT)
• Resolu7on
Limits
§ Wider
source
spectrum
⇒
Higher
axial
resolu7on
§ Higher
Numerical
Aperture
(NA)
⇒
Large
transverse
resolu7on
High
NA
low
NA
Δx
Δz
b
Axial
Resolu7on
Transverse
Resolu7on
Δz = 2ln2
π
⋅ λ 2
Δλ
Δx = 4λ
π
⋅ f
D
Depth
Focus
b = 2zR = πΔx2
λ
27. Low
Coherence
Imaging
§ Op7cal
Source
for
OCT
• Large
spectral
bandwidth
⇒
axial
resolu7on
• Adequate
central
wavelength
⇒
absorp7on
7ssue
curve
• Adequate
spectral
profile
⇒
Gaussian
profile
• Enough
op7cal
power
⇒
be|er
SNR
Δz = 2ln2
π
⋅ λ 2
Δλ
Δλ Δz
28. Low
Coherence
Imaging
§ Op7cal
Source
for
OCT
• Op7cal
window
of
biological
7ssue
new
imaging
window
~100
nm
800 900 1000 1100 1200 1300
0,30
0,25
0,20
0,15
0,10
0,05
0,00
Kou et al., Applied Optics, 32, 19, 3531-3540, 1993
Water Absorption Coefficients (22o C) (mm-1)
Wavelength (nm)
29. Low
Coherence
Imaging
§ Op7cal
Sources
for
OCT
Superluminescent
Diode
(SLD)
MQW
Semiconductor
Op7cal
Amplifier
(MQW-‐SOA)
ASE
Doped
Fiber
Sources
KLM
Solid
State
Laser
Incandescent
Light
Sources
Supercon7nuum
Sources
Spectral
BW
Spectral
region
Output
power
Op:cal
stability
Dimensions
+
+
~
++
++
+
+
+
+
+
+
~
+++
++
++
++
++
++
+
~
+++
+
-‐-‐
+
~
+++
+++
++
~
~
Courtesy
(
in
part)
from
Prof.
W.
Drexler
30. Low
Coherence
Imaging
§ Op7cal
Sources
for
OCT
• Most
common
used
in
commercial
systems:
SLD
λ0
=
870
nm
Δλ
=
180
nm
P0
=
5
mW
180
nm
Superlum
Ltd.,
Ireland
2.5
μm
31. Low
Coherence
Imaging
§ Op7cal
Sources
for
OCT
• Mostly
used
in
R&D
systems:
fs-‐KLM
Ti:Sapphire
laser
Ophthalmic
OCT
exam
(courtesy
of
Prof.
W.
Drexler)
90
cm
45
cm
FEMTOLASERS
Produk7ons
GmbH,
Vienna,
Austria
W.Drexler,
et.al.,
Opt.Le|.24(17),1221-‐1223
(1991).
λ0
=
800
nm
Δλ
=
165
nm
Pavg
=
40
mW
32. Low
Coherence
Imaging
§ Higher
depth
penetra7on
into
the
eye?
• 1060
nm
wavelength
region
§ Local
minimum
in
water
absorp7on
§ Lower
sca|ering
7ssue
coefficient
§ Zero
dispersion
point
of
water
§ ANSI
standard
~2
mW
for
10
s
exposure
7me
SLD
source
ASE
Doped-‐Fiber
source
B.
Povazay,
et.al.,
Opt.Express
17
(5),
4134-‐4150
(2009)
Eye
Fundus
840
nm
1060
nm
33. Low
Coherence
Imaging
§ Op7cal
Sources
for
OCT
• ASE
fiber
sources
@
1060
nm
§ Yb-‐doped
fiber
(usually
used
as
gain
media)
§ Careful
op7c
design
to
avoid
undesired
laser
emission
§ Spectral
tailoring
maybe
necessary
A.B.
Lobo
Ribeiro,
et.al.,
in
Proc.
SPIE
vol.7139
(U.K.,
2008),
p.713903.
34. Low
Coherence
Imaging
§ Op7cal
Sources
for
OCT
• ASE
Yb-‐doped
fiber
source
§ Spectral
bandwidth:
50
nm
(typ.)
§ Output
power
(fiber):
>50
mW
9.7 μm!
A.B.
Lobo
Ribeiro,
et.al.,
in
Proc.
SPIE
vol.7139
(U.K.,
2008),
p.713903.
38. Low
Coherence
Imaging
§ Other
OCT
Modali7es:
Fourier
Domain
OCT
Spectral
Domain
OCT
(SD-‐OCT)
Swept
Source
OCT
(SS-‐OCT)
M.
Wojtkowski,
Appl.
Opt.
49
(16),
D30-‐D60
(2010).
39. Low
Coherence
Imaging
§ Human
Choroid
3D-‐OCT
image
• SS-‐OCT
system
@
1
μm
Courtesy
of
Prof.
Y.
Yasuno
Y.
Yasuno,
et.al.,
Opt.
Express
15
(10),
6121-‐6139
(2007).
40. Low
Coherence
Imaging
§ Swept
Fiber
Laser
@
1060
nm
• Central
wavelength:
1065
nm
• Sweeping
frequency:
1-‐
8
kHz
A.B.
Lobo
Ribeiro,
et.al.,
US
Patent
2011069722(A1),
Mar.
2011
I.
Trifanov,
et.al.,
in
Proc.
SPIE
vol.7899,Photonics
West
2011,
pp.7899-‐100
(2011).
41. Low
Coherence
Imaging
§ OCT
System
with
Swept
Source
@
1060
nm
I.
Trifanov,
et.al.,
in
Proc.
SPIE
vol.8091,
BIOS
Europe
2011,
pp.8091-‐30
(2011).
Human
tooth
with
lead
implant
(B-‐scan)
0
mm
depth
2.5
mm
depth
5
mm
depth
42. Acknowledgements
§ UOSE/INESC-‐TEC
&
Physics
Dept.,
FCUP
(PT)
• Prof.
José
Luís
Santos
• UOSE
R&D
Team
§ AOG,
School
Phys.
Sci.,
Univ.
Kent
(UK)
§ Prof.
Adrian
Podoleanu
§ Prof.
David
Jackson
§ AOG
R&D
Team
§ Mul7wave
Photonics
S.A.
(PT)
§ Prof.
José
Salcedo
§ R&D
Team
§ CMPBE,
Medical
Univ.
Vienna
(Austria)
§ Prof.
Wolfgang
Drexler
§ Dr.
Boris
Povazay
§ COG,
Tsukuba
Univ.
(Japan)
§ Prof.
Yoshiaki
Yasuno