Supporting Information for “Full Stokes
imaging polarimetry using dielectric
metasurfaces”
Ehsan Arbabi,
†
Seyedeh Mahsa Kamali,
†
Amir Arbabi,
‡
and Andrei
Faraon
∗
,
†
†
T. J. Watson Laboratory of Applied Physics and Kavli Nanoscience Institute, California Institute
of Technology, 1200 E. California Blvd., Pasadena, CA 91125, USA
‡
Department of Electrical and Computer Engineering, University of Massachusetts Amherst, 151
Holdsworth Way, Amherst, MA 01003, USA
E-mail: faraon@caltech.edu
Contents.
Six pages, Figs. S1 to S5.
1
100
300
100
300
b [nm]
b [nm]
Φ
y
[Rad]
100
300
100
300
a [nm]
a [nm]
Φ
x
[Rad]
b
a
a
h
l
c
b
x
z
y
2π
π
0
Phase [Rad]
Supporting Information Figure S1
.
Transmission phase of the nano-posts.
(a)
Schematic illustration of
an
α
-Si nano-post showing the dimensions.
(b)
Simulated transmission phases for the
x
- and
y
-polarized
light at the wavelength of 850 nm. The posts are 650 nm tall, and the lattice constant is 480 nm.
2
OL1
TL1
Camera
DUT
BPF
LP
LED
QWP
TL1
Camera
BPF
OL2
QWP
TL1
Camera
BPF
OL2
TL2
LP
b
c
a
DUT
MPM
LP
OL3
TL2
SCL
MPM
SCL
LP
OL3
Supporting Information Figure S2
.
Measurement setups.
(a)
Schematics of the measurement setup used
to characterize the superpixels of the DoFP metasurface mask.
(b)
Schematics of the measurement setup
used to capture polarimetric images using the DoFP metasurface mask.
(c)
Schematics of the measurement
setup used to capture polarimetric images using the conventional method. LP: Linear polarizer; QWP:
Quarter wave-plate; DUT: Device under test; OL: Objective lens; BPF: Bandpass filter; TL: Tube lens;
SCL: Supercontinuum laser; MPM: Metasurface polarization mask. (OL1: Olympus UMPlanFl 100
×
,
NA=0.95; OL2: LMPlanFl 20
×
, NA = 0.4; OL3: Mitutoyo M Plan Apo 10, NA=0.28; BPF: Thorlabs
FL850-10; TL1: Thorlabs AC254-200-B-ML; TL2: Thorlabs LB1723-B; LP: Thorlabs LPVIS100-MP2;
QWP: Thorlabs AQWP10M-980; SCL: Fianium WhiteLase micro.)
3
04
-4
x [
P
m]
a
0
4
-4
y [
P
m]
S1
S2
S3
0
1
-1
0
Intensity [a.u.]
04
-4
x [
P
m]
04
-4
x [
P
m]
04
-4
x [
P
m]
04
-4
x [
P
m]
04
-4
x [
P
m]
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
b
0
4
-4
y [
P
m]
S1
S2
S3
0
1
-1
0
Intensity [a.u.]
04
-4
x [
P
m]
04
-4
x [
P
m]
04
-4
x [
P
m]
04
-4
x [
P
m]
04
-4
x [
P
m]
04
-4
x [
P
m]
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
Supporting Information Figure S3
.
Superpixel characterization of DoFP metasurface mask with 4.8-
μ
m
pixels.
(a)
Calculated average Stokes parameters for different input polarizations (top) and the
corresponding intensity distributions of a sample superpixel (bottom). The Stokes parameters are averaged
over about 120 superpixels (limited by the microscope field of view), and the error bars demonstrate the
statistical standard deviation. The measurements are performed with an 850-nm LED filtered by a
bandpass filter (center: 850 nm, FHMW: 10 nm) as the light source.
(b)
Same as (a), with the bandpass
filter removed from the setup. The results shown in (a) are the same as the ones presented in Figs. 3a and
3b and are shown here for comparison with the results shown in (b). When using the band-pass filter, the
iris in front of the LED has a larger diameter to compensate for the lower power of the filtered light. This
results in the focal spots being tighter without the band-pass filter.
4
a
0
6
-6
y [
P
m]
S1
S2
S3
0
1
-1
0
Intensity [a.u.]
06
-6
x [
P
m]
06
-6
x [
P
m]
06
-6
x [
P
m]
06
-6
x [
P
m]
06
-6
x [
P
m]
06
-6
x [
P
m]
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
b
0
6
-6
y [
P
m]
S1
S2
S3
0
1
-1
0
Intensity [a.u.]
06
-6
x [
P
m]
06
-6
x [
P
m]
06
-6
x [
P
m]
06
-6
x [
P
m]
06
-6
x [
P
m]
06
-6
x [
P
m]
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
S1
S2
S3
0
1
-1
Supporting Information Figure S4
.
Superpixel characterization of DoFP metasurface mask with 7.2-
μ
m
pixels. (
a
) Calculated average Stokes parameters for different input polarizations (top) and the
corresponding intensity distributions of a sample superpixel (bottom). The Stokes parameters are averaged
over more than 50 superpixels (limited by the microscope field of view), and the error bars demonstrate the
statistical standard deviations. The measurements are performed with an 850-nm LED filtered by a
bandpass filter (center: 850 nm, FHMW: 10 nm) as the light source. (
b
) Same as (a), with the bandpass
filter removed from the setup.
5