Alignment Error Analysis and Optimization of Wave Plate Fast Axis in Four-Path Full Stokes Simultaneous Polarization Imaging System

Yulong Yin; Xiaobing Sun; Maoxin Song; Wei Chen

doi:10.3788/AOS201939.0112002

Journals >Acta Optica Sinica >Volume 39 >Issue 1 >Page 0112002 > Article

Acta Optica Sinica
Vol. 39, Issue 1, 0112002 (2019)

Alignment Error Analysis and Optimization of Wave Plate Fast Axis in Four-Path Full Stokes Simultaneous Polarization Imaging System

Yulong Yin^{1、2、3、*}, Xiaobing Sun^1、3、*, Maoxin Song^1、3, and Wei Chen^1、2、3

Author Affiliations

¹ Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei, Anhui 230031, China

² University of Science and Technology of China, Hefei, Anhui 230026, China

³ Key Laboratory of Optical Calibration and Characterization, Chinese Academy of Sciences, Hefei, Anhui 230031, China

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DOI: 10.3788/AOS201939.0112002 Cite this Article Set citation alerts

Yulong Yin, Xiaobing Sun, Maoxin Song, Wei Chen. Alignment Error Analysis and Optimization of Wave Plate Fast Axis in Four-Path Full Stokes Simultaneous Polarization Imaging System[J]. Acta Optica Sinica, 2019, 39(1): 0112002 Copy Citation Text

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Fig. 1. Schematic of four-path full Stokes simultaneous polarization imaging system

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Measurement errors of Stokes parameters for different incident lights. (a) Natural light; (b) 0° linearly polarized light; (c) 90° linearly polarized light; (d) 45° linearly polarized light; (e) 135° linearly polarized light; (f) right circularly polarized light; (g) left circularly polarized light

Fig. 2. Measurement errors of Stokes parameters for different incident lights. (a) Natural light; (b) 0° linearly polarized light; (c) 90° linearly polarized light; (d) 45° linearly polarized light; (e) 135° linearly polarized light; (f) right circularly polarized light; (g) left circularly polarized light

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Fig. 3. Stokes parameter distributions of 1000 incident light sampling points selected on the Poincaré sphere. (a) 3D distribution; (b) Stokes parameter value

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Fig. 4. Stokes parameter measurement errors. (a) Only 1° alignment error of HWP fast axis; (b) only 1° alignment error of QWP fast axis

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Fig. 5. Influences of alignment errors of fast axes on polarization measurement accuracy when sampling points with different degrees of polarization used as incident lights. (a) Only HWP fast axis; (b) only QWP fast axis; (c) alignment coupling error of HWP and QWP fast axes

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Fig. 6. 2-norm conditional number κ of measurement matrix M versus Tp and Ts

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Fig. 7. Polarization measurement accuracy of system versus Tp and Ts under concurrence of 1° alignment errors of HWP and QWP fast axes

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Fig. 8. Optimization of alignment errors of HWP and QWP fast axes

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Fig. 9. ΔA versus alignment error α of HWP fast axis and alignment error β of QWP fast axis

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Fig. 10. Polarization measurement accuracy ΔP(α,β,P) versus alignment error α of HWP fast axis and β of QWP fast axis for different degrees of polarization of 1, 0.8, 0.5, 0.2 and 0.1

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β /(°)	$\begin{matrix} {\|ΔP\|}_{}^{(α, β, P = 1)} \end{matrix}$ /%
β /(°)	α=-0.3°	α=-0.2°	α=-0.15°	α=-0.1°	α=0°	α=0.1°	α=0.15°	α=0.2°	α=0.3°
-1.2	3.48	2.96	2.75	2.54	2.18	2.48	2.70	2.93	3.44
-0.6	2.65	2.01	1.73	1.46	1.07	1.46	1.72	2.01	2.65
-0.52	2.56	1.91	1.61	1.34	0.92	1.33	1.60	1.90	2.56
-0.2	2.33	1.59	1.23	0.88	0.35	0.88	1.23	1.59	2.33
0	2.28	1.52	1.14	0.76	0	0.76	1.14	1.52	2.28
0.2	2.33	1.59	1.23	0.88	0.35	0.88	1.23	1.59	2.33
0.52	2.57	1.91	1.60	1.33	0.92	1.34	1.61	1.91	2.57
0.6	2.64	2.01	1.72	1.45	1.07	1.47	1.72	2.02	2.64
1.2	3.43	2.92	2.69	2.49	2.20	2.52	2.73	2.97	3.48

Table 1. Variation in polarization measurement accuracy ΔP(α,β,P=1) of system with alignment error α of HWP fast axis and alignment error β of QWP fast axis

β /(°)	A(α,β,P=1) /%
β /(°)	α=-0.3°	α=-0.2°	α=-0.15°	α=-0.1°	α=0°	α=0.1°	α=0.15°	α=0.2°	α=0.3°
-1.2	4.30	4.30	4.30	4.30	4.30	4.30	4.30	4.30	4.30
-0.6	3.85	2.57	2.12	2.12	2.12	2.12	2.12	2.57	3.85
-0.52	3.85	2.57	1.93	1.83	1.83	1.83	1.93	2.57	3.85
-0.2	3.85	2.57	1.93	1.29	0.70	1.29	1.93	2.57	3.85
0	3.85	2.57	1.93	1.29	0	1.29	1.93	2.57	3.85
0.2	3.85	2.57	1.93	1.29	0.70	1.29	1.93	2.57	3.85
0.52	3.85	2.57	1.93	1.83	1.83	1.83	1.93	2.57	3.85
0.6	3.85	2.57	2.12	2.12	2.12	2.12	2.12	2.57	3.85
1.2	4.30	4.30	4.30	4.30	4.30	4.30	4.30	4.30	4.30

Table 2. Variation in polarization measurement accuracy A(α,β,P=1) of system with alignment error α of HWP fast axis and alignment error β of QWP fast axis

β /(°)	$\begin{matrix} {\|ΔP\|}_{}^{(α, β, P = 5 %)} \end{matrix}$ /%
β /(°)	α=-0.5°	α=-0.4°	α=-0.1°	α=0°	α=0.1°	α=0.4°	α=0.5°
-2.5	2.43	2.01	0.89	0.62	0.88	2.01	2.44
-2.4	2.41	1.99	0.85	0.58	0.84	1.99	2.42
-1.0	2.28	1.83	0.48	0.15	0.48	1.83	2.28
-0.5	2.27	1.82	0.47	0.06	0.47	1.82	2.27
0	2.27	1.82	0.45	0	0.45	1.82	2.27
0.5	2.27	1.82	0.47	0.06	0.47	1.82	2.27
1.0	2.28	1.83	0.48	0.15	0.48	1.83	2.27
2.4	2.42	1.99	0.84	0.58	0.85	1.99	2.42
2.5	2.43	2.01	0.88	0.62	0.89	2.01	2.44

Table 3. Variation in polarization measurement accuracy ΔP(α,β,P=5%) of system with alignment error α of HWP fast axis and alignment error β of QWP fast axis

β /(°)	A(α,β,P=5%) /%
β /(°)	α=-0.5°	α=-0.4°	α=-0.1°	α=0°	α=0.1°	α=0.4°	α=0.5°
-2.5	2.47	2.02	0.93	0.93	0.93	2.02	2.47
-2.4	2.47	1.99	0.87	0.87	0.87	1.99	2.47
-1.0	2.47	1.98	0.49	0.25	0.49	1.98	2.47
-0.5	2.47	1.98	0.49	0.11	0.49	1.98	2.47
0	2.47	1.98	0.49	0	0.49	1.98	2.47
0.5	2.47	1.98	0.49	0.11	0.49	1.98	2.47
1.0	2.47	1.98	0.49	0.25	0.49	1.98	2.47
2.4	2.47	1.99	0.87	0.87	0.87	1.99	2.47
2.5	2.47	2.02	0.93	0.93	0.93	2.02	2.47

Table 4. Variation in polarization measurement accuracy A(α,β,P=5%) with alignment error α of HWP fast axis and alignment error β of QWP fast axis

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