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Low 
Coherence 
Interferometry: 
From 
Sensor 
Mul7plexing 
to 
Biomedical 
Imaging 
António 
Lobo 
(PhD, 
MSc, 
EMBA) 
Summer 
School 
AOP 
2012 
Porto, 
June 
28-­‐29, 
2012
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
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 
!
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)
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
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]
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
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 
⎛⎝ ⎜ 
⎞⎠ ⎟
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
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!
General 
Concepts 
§ Low 
Coherence 
Interferometry: 
Tandem 
Configura7on 
• 
LCS 
LCS 
is 
mul7mode 
laser 
diode 
• 
ΔLS 
ΔLR 
ΔLS 
>> 
coherence 
length 
of 
LCS! 
A.S. 
Gerges 
et.al., 
Appl. 
Opt. 
29, 
4473-­‐4480 
(1990). 
A.B. 
Lobo 
Ribeiro 
et.al.,Rev. 
Sci 
Instrum.63, 
3586-­‐3589 
(1992)
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).
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!!)
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)
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)
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.
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"
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
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).
LCI 
in 
Sensor 
Mul7plexing 
§ CDM 
+ 
Wavelength 
Division 
Mul7plexing 
(WDM) 
• Simultaneous 
measurement: 
Displacement 
+ 
Temperature 
• Interroga7on 
of 
small 
Fabry-­‐Perot 
cavity 
(for 
displacement)* 
• Fiber 
Bragg 
Gra7ng 
(FBG) 
match-­‐pair 
technique 
(for 
temperature)** 
(*) 
L.A. 
Ferreira 
et.al., 
IEEE 
Photon. 
Technol. 
Le|. 
8, 
1519-­‐1521 
(1996). 
(**) 
A.B. 
Lobo 
Ribeiro 
et.al., 
Appl. 
Opt. 
36, 
934-­‐939 
(1997). 
Receiver 
Sensor 
FBG 
FP 
Cavity
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.
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
LCI 
on 
Optoelectronic 
Metrology 
§ Op7cal 
Low 
Coherence 
Reflectometry 
(OLCR) 
W.V. 
Sorin, 
et.al., 
IEEE 
Photon. 
Technol. 
Le|. 
4, 
374-­‐376 
(1992). 
F.P. 
Kapron, 
et.al., 
J. 
Lightwave 
Tech. 
7, 
1234-­‐1241 
(1989).
Low 
Coherence 
Imaging 
§ OLCR 
on 
Biomedical 
Applica7ons? 
• Proper 
choice 
of 
op7cal 
source 
is 
necessary. 
§ Wavelength 
§ Spectral 
bandwidth 
§ Output 
op7cal 
power 
Biological 
7ssue
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
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
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
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)
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
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
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
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
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.
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.
Low 
Coherence 
Imaging 
§ Op7cal 
Sources 
for 
OCT 
• ASE 
fiber 
sources 
@ 
1060 
nm 
§ Broader 
spectral 
bandwidth 
⇒ 
other 
doped-­‐fiber 
combina7ons 
0 
ASE 
Yb+Nd-­‐doped 
fiber 
source 
Power density (dBm/nm) Wavelength (nm) 
-5 
-10 
-15 
-20 
-25 
-30 
-35 
A.B. 
Lobo 
Ribeiro, 
et.al., 
λ0=1058.124 nm 
ΔλFWHM = 71.209 nm 
Pout= 21,3 mW 
US 
Patent 
20100315700(A1), 
Dec. 
2010 
7 μm 
-50 -40 -30 -20 -10 0 10 20 30 40 50 
1,0 
0,8 
0,6 
0,4 
0,2 
0,0 
Normalized interferogram 
Optical path difference (μm) 
1000 1020 1040 1060 1080 1100 1120
Low 
Coherence 
Imaging 
§ ASE 
Yb+Nd-­‐doped 
fiber 
source 
• TD-­‐OCT 
system 
@ 
1 
μm 
§ With 
confocal 
channel 
§ En-­‐face 
and 
cross 
sec7onal 
OCT 
images 
§ 15 
μm 
lateral 
resolu7on 
§ < 
15 
μm 
axial 
resolu7on 
§ 2 
Hz 
frame 
rate 
I.Trifanov, 
et.al., 
IEEE 
Photon. 
Technol. 
Le|. 
23, 
21-­‐23 
(2011).
Low 
Coherence 
Imaging 
§ ASE 
Yb+Nd-­‐doped 
fiber 
source 
• TD-­‐OCT 
system 
@ 
1 
μm 
Cross 
sec7onal 
OCT 
images 
of 
re7na 
Choroid 
100 
μm 
I.Trifanov, 
et.al., 
IEEE 
Photon. 
Technol. 
Le|. 
23, 
21-­‐23 
(2011). 
RNFL" 
GC/IPL" 
INL" 
OPL" 
ONL" 
ELM" 
IS/OS" 
RPE" 
Ch/Chc" 
RNFL: 
re7nal 
nerve 
fiber 
layer; 
GC/IPL: 
ganglion 
cell/inner 
plexiform 
layer; 
INL: 
inner 
nuclear 
layer; 
OPL: 
outer 
plexiform 
layer; 
ONL: 
outer 
nuclear 
layer; 
ELM: 
external 
limi7ng 
membrane; 
IS/OS: 
photoreceptor 
inner 
segment/outer 
segment 
junc7on; 
RPE: 
re7nal 
pigment 
epithelium; 
Ch/Chc: 
choroid/choriocapillaris
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).
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).
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).
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
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
Thank 
you 
for 
your 
a|en7on

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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!
  • 11. General Concepts § Low Coherence Interferometry: Tandem Configura7on • LCS LCS is mul7mode laser diode • ΔLS ΔLR ΔLS >> coherence length of LCS! A.S. Gerges et.al., Appl. Opt. 29, 4473-­‐4480 (1990). A.B. Lobo Ribeiro et.al.,Rev. Sci Instrum.63, 3586-­‐3589 (1992)
  • 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).
  • 20. LCI in Sensor Mul7plexing § CDM + Wavelength Division Mul7plexing (WDM) • Simultaneous measurement: Displacement + Temperature • Interroga7on of small Fabry-­‐Perot cavity (for displacement)* • Fiber Bragg Gra7ng (FBG) match-­‐pair technique (for temperature)** (*) L.A. Ferreira et.al., IEEE Photon. Technol. Le|. 8, 1519-­‐1521 (1996). (**) A.B. Lobo Ribeiro et.al., Appl. Opt. 36, 934-­‐939 (1997). Receiver Sensor FBG FP Cavity
  • 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
  • 23. LCI on Optoelectronic Metrology § Op7cal Low Coherence Reflectometry (OLCR) W.V. Sorin, et.al., IEEE Photon. Technol. Le|. 4, 374-­‐376 (1992). F.P. Kapron, et.al., J. Lightwave Tech. 7, 1234-­‐1241 (1989).
  • 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.
  • 35. Low Coherence Imaging § Op7cal Sources for OCT • ASE fiber sources @ 1060 nm § Broader spectral bandwidth ⇒ other doped-­‐fiber combina7ons 0 ASE Yb+Nd-­‐doped fiber source Power density (dBm/nm) Wavelength (nm) -5 -10 -15 -20 -25 -30 -35 A.B. Lobo Ribeiro, et.al., λ0=1058.124 nm ΔλFWHM = 71.209 nm Pout= 21,3 mW US Patent 20100315700(A1), Dec. 2010 7 μm -50 -40 -30 -20 -10 0 10 20 30 40 50 1,0 0,8 0,6 0,4 0,2 0,0 Normalized interferogram Optical path difference (μm) 1000 1020 1040 1060 1080 1100 1120
  • 36. Low Coherence Imaging § ASE Yb+Nd-­‐doped fiber source • TD-­‐OCT system @ 1 μm § With confocal channel § En-­‐face and cross sec7onal OCT images § 15 μm lateral resolu7on § < 15 μm axial resolu7on § 2 Hz frame rate I.Trifanov, et.al., IEEE Photon. Technol. Le|. 23, 21-­‐23 (2011).
  • 37. Low Coherence Imaging § ASE Yb+Nd-­‐doped fiber source • TD-­‐OCT system @ 1 μm Cross sec7onal OCT images of re7na Choroid 100 μm I.Trifanov, et.al., IEEE Photon. Technol. Le|. 23, 21-­‐23 (2011). RNFL" GC/IPL" INL" OPL" ONL" ELM" IS/OS" RPE" Ch/Chc" RNFL: re7nal nerve fiber layer; GC/IPL: ganglion cell/inner plexiform layer; INL: inner nuclear layer; OPL: outer plexiform layer; ONL: outer nuclear layer; ELM: external limi7ng membrane; IS/OS: photoreceptor inner segment/outer segment junc7on; RPE: re7nal pigment epithelium; Ch/Chc: choroid/choriocapillaris
  • 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
  • 43. Thank you for your a|en7on