Calibration and Preprocessing Method for Amplitude Divided Simultaneous Imaging Polarimeter

Wenyu Cui; Wenjuan Huang; Weining Yi

doi:10.3788/AOS202040.2011002

Acta Optica Sinica, Volume. 40, Issue 20, 2011002(2020)

Calibration and Preprocessing Method for Amplitude Divided Simultaneous Imaging Polarimeter

Wenyu Cui¹, Wenjuan Huang^1,2, and Weining Yi^1、*

¹Key Laboratory of Optical Calibration and Characterization, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei, Anhui 230031, China

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

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Figures & Tables(21)

Fig. 1. Schematic of three-beam simultaneous polarization imaging system

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Fig. 2. Calculation results of polarization measurement errors caused by various error sources of beam splitting polarization imaging system. (a) Polarizer oriented angle error a_k; (b) light divided ratio error b_k; (c) transmissivity non-uniformity error c_k; (d) radiation responsivity non-uniformity error d_i_,_j_,_k; (e) pixel offset e_k

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Fig. 3. Calculation results of polarization angle measurement errors caused by various error sources of beam splitting polarization imaging system. (a) Polarizer oriented angle error a_k; (b) light divided ratio error b_k; (c) transmissivity non-uniformity error c_k; (d) radiation responsivity non-uniformity error d_i_,_j_,_k; (e) pixel offset e_k

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Fig. 4. Flow chart of pre-processing calibration for beam splitting simultaneous polarization imaging system

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Fig. 5. Calibration system of CCD non-uniformity. (a) Schematic diagram; (b) physical graph

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Fig. 6. Three-channel original image pixel value. (a) Image of 0° polarizer; (b) image of 45° polarizer; (c) image of 90° polarizer

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Fig. 7. Three-channel image pixel value after uniformity correction. (a) Image of 0° polarizer; (b) image of 45° polarizer; (c) image of 90° polarizer

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Fig. 8. Three-channel radiation response difference calibration system. (a) Schematic diagram; (b) physical graph

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Fig. 9. Calibration system for polarizer oriented angle. (a) Schematic diagram; (b) physical graph

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Fig. 10. Fitting curves of pixel values of different polarized angles. (a) 0° polarization channel; (b) 45° polarization channel; (c) 90° polarization channel

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Fig. 11. Comparison of polarization degree measurement error before and after correction for amplitude divided imaging polarimeter. (a) Before correction; (b) after correction

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Fig. 12. Comparison of polarization angle measurement error before and after correction for amplitude divided imaging polarimeter. (a) Before correction; (b) after correction

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Fig. 13. Stokes parameter images after preprocessing. (a) Image of I parameter; (b) image of Q parameter; (c) image of U parameter; (d) image of polarization degree; (e) image of polarized angle

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Fig. 14. Comparison between original image and polarization fusion image. (a) Original image; (b) polarization fusion image

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Table 1. Polarization imaging system parameters

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Table 1. Polarization imaging system parameters

Parameter	Value
Detection band /nm	500-1000
Pixel number	1392 ×1040
Pixel size /(μm×μm)	6.45×6.45
CCD size /(cm×cm)	24×36
Digitalizing bit	8 or 12
Max FPS /(frame/s)	30
Focal length /mm	51.7
Polarization angles /(°)	0,45,90
Camera FOV /(°)	10×7.6

Table 2. Non-uniformity σ of three-channel original imageunit: %
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Table 2. Non-uniformity σ of three-channel original imageunit: %
Light σ₁ σ₂ σ₃
1 2.74 2.84 3.33
2 2.57 2.76 2.94
3 2.55 2.69 2.79
4 2.42 2.71 2.72
5 2.37 2.62 2.66
6 2.38 2.62 2.62
7 2.33 2.59 2.60
8 2.39 2.60 2.58
Average 2.47 2.68 2.78

Table 3. Non-uniformity σ of three-channel image after uniformity correctionunit: %
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Table 3. Non-uniformity σ of three-channel image after uniformity correctionunit: %
Light σ₁ σ₂ σ₃
1 0.82 0.80 0.95
2 0.46 0.44 0.53
3 0.40 0.36 0.44
4 0.33 0.32 0.38
5 0.29 0.27 0.33
6 0.30 0.28 0.34
7 0.26 0.24 0.31
8 0.22 0.19 0.26
Average 0.39 0.36 0.44

Table 4. Three-channel image average after radiation response uniformity correction
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Table 4. Three-channel image average after radiation response uniformity correction
Light 2 4 6 8
$\bar{DN}$ (0°) 556.44 1138.65 1685.00 2249.34
$\bar{DN}$ (45°) 555.43 1136.24 1686.51 2249.34
$\bar{DN}$ (90°) 555.85 1133.84 1686.63 2252.58

Table 5. Relative difference ratio of average DN of 3 channel images before and after radiation responsivity uniformity correctionunit: %
View table
Table 5. Relative difference ratio of average DN of 3 channel images before and after radiation responsivity uniformity correctionunit: %
Light 2 4 6 8 Average
ε₂ Original 15.34 16.45 17.14 17.23 16.54
Corrected -0.18 -0.21 0.09 0.00 -0.08
ε₃ Original -19.59 -18.27 -17.32 -17.04 -18.06
Corrected -0.11 -0.42 0.10 0.14 -0.07

Table 6. Measuring results of polarizer oriented angles
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Table 6. Measuring results of polarizer oriented angles
Nominal value /(°) Measuring value /(°) Polarizer oriented angle error /(°)
0 0.00 0.00
45 43.26 -1.74
90 88.32 -1.68

Table 7. Calibration values of system errors
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Table 7. Calibration values of system errors
Error θ_k /(°) ${a_{k}}_{}$ /(°) ε_k σ_k e_k
Before correction 0 0.00 0.0000 0.0247 0.00
45 -1.74 0.1654 0.0268 2.01
90 -1.68 -0.1806 0.0278 2.12
After correction 0 0.00 0.0000 0.0039 0.00
45 -1.74 -0.0008 0.0036 0.22
90 -1.68 -0.0007 0.0044 0.18

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Wenyu Cui, Wenjuan Huang, Weining Yi. Calibration and Preprocessing Method for Amplitude Divided Simultaneous Imaging Polarimeter[J]. Acta Optica Sinica, 2020, 40(20): 2011002

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Paper Information

Category: Imaging Systems

Received: Apr. 30, 2020

Accepted: Jul. 10, 2020

Published Online: Sep. 30, 2020

The Author Email: Yi Weining (yiwn@aiofm.ac.cn)

DOI:10.3788/AOS202040.2011002

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Polarization imaging system parameters

Table 1. Polarization imaging system parameters

Table 2. Non-uniformity σ of three-channel original imageunit: %

Table 2. Non-uniformity σ of three-channel original imageunit: %

Table 3. Non-uniformity σ of three-channel image after uniformity correctionunit: %

Table 3. Non-uniformity σ of three-channel image after uniformity correctionunit: %

Table 4. Three-channel image average after radiation response uniformity correction

Table 4. Three-channel image average after radiation response uniformity correction

Table 5. Relative difference ratio of average DN of 3 channel images before and after radiation responsivity uniformity correctionunit: %

Table 5. Relative difference ratio of average DN of 3 channel images before and after radiation responsivity uniformity correctionunit: %

Table 6. Measuring results of polarizer oriented angles

Table 6. Measuring results of polarizer oriented angles

Table 7. Calibration values of system errors

Table 7. Calibration values of system errors