Author Affiliations
1Key Laboratory of Optical Calibration and Characterization, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei, Anhui 230031, China2University of Science and Technology of China, Hefei, Anhui 230026, Chinashow less
Fig. 1. Schematic of three-beam simultaneous polarization imaging system
Fig. 2. Calculation results of polarization measurement errors caused by various error sources of beam splitting polarization imaging system. (a) Polarizer oriented angle error ak; (b) light divided ratio error bk; (c) transmissivity non-uniformity error ck; (d) radiation responsivity non-uniformity error di,j,k; (e) pixel offset ek
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 ak; (b) light divided ratio error bk; (c) transmissivity non-uniformity error ck; (d) radiation responsivity non-uniformity error di,j,k; (e) pixel offset ek
Fig. 4. Flow chart of pre-processing calibration for beam splitting simultaneous polarization imaging system
Fig. 5. Calibration system of CCD non-uniformity. (a) Schematic diagram; (b) physical graph
Fig. 6. Three-channel original image pixel value. (a) Image of 0° polarizer; (b) image of 45° polarizer; (c) image of 90° polarizer
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
Fig. 8. Three-channel radiation response difference calibration system. (a) Schematic diagram; (b) physical graph
Fig. 9. Calibration system for polarizer oriented angle. (a) Schematic diagram; (b) physical graph
Fig. 10. Fitting curves of pixel values of different polarized angles. (a) 0° polarization channel; (b) 45° polarization channel; (c) 90° polarization channel
Fig. 11. Comparison of polarization degree measurement error before and after correction for amplitude divided imaging polarimeter. (a) Before correction; (b) after correction
Fig. 12. Comparison of polarization angle measurement error before and after correction for amplitude divided imaging polarimeter. (a) Before correction; (b) after correction
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
Fig. 14. Comparison between original image and polarization fusion image. (a) Original image; (b) polarization fusion image
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 |
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Table 1. Polarization imaging system parameters
Light | σ1 | σ2 | σ3 |
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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 |
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Table 2. Non-uniformity σ of three-channel original imageunit: %
Light | σ1 | σ2 | σ3 |
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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 |
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Table 3. Non-uniformity σ of three-channel image after uniformity correctionunit: %
Light | 2 | 4 | 6 | 8 |
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(0°) | 556.44 | 1138.65 | 1685.00 | 2249.34 | (45°) | 555.43 | 1136.24 | 1686.51 | 2249.34 | (90°) | 555.85 | 1133.84 | 1686.63 | 2252.58 |
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Table 4. Three-channel image average after radiation response uniformity correction
Light | 2 | 4 | 6 | 8 | Average |
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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 |
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Table 5. Relative difference ratio of average DN of 3 channel images before and after radiation responsivity uniformity correctionunit: %
Nominal value /(°) | Measuring value /(°) | Polarizer oriented angle error /(°) |
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0 | 0.00 | 0.00 | 45 | 43.26 | -1.74 | 90 | 88.32 | -1.68 |
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Table 6. Measuring results of polarizer oriented angles
Error | θk /(°) | /(°) | εk | σk | ek |
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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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Table 7. Calibration values of system errors