Full Image On-Orbit Polarization Calibration Method of Multi-Angle Polarization Imager

Yipeng Zhang; Xiuqing Hu; Dekui Yin; Mingjian Gu

doi:10.3788/AOS202040.1911001

Journals >Acta Optica Sinica >Volume 40 >Issue 19 >Page 1911001 > Article

Acta Optica Sinica
Vol. 40, Issue 19, 1911001 (2020)

Full Image On-Orbit Polarization Calibration Method of Multi-Angle Polarization Imager

Yipeng Zhang^1、2、*, Xiuqing Hu^3、**, Dekui Yin^1、***, and Mingjian Gu¹

Author Affiliations

¹Key Laboratory of Infrared System Detection & Imaging Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China;

²University of Chinese Academy of Sciences, Beijing 100049, China

³National Satellite Meteorological Center, Beijing 100081, China

show less

DOI: 10.3788/AOS202040.1911001 Cite this Article Set citation alerts

Yipeng Zhang, Xiuqing Hu, Dekui Yin, Mingjian Gu. Full Image On-Orbit Polarization Calibration Method of Multi-Angle Polarization Imager[J]. Acta Optica Sinica, 2020, 40(19): 1911001 Copy Citation Text

show less

Fig. 1. Imaging coordinate system and relationship among geometric parameters of MAPI image matrix

Download full size

Fig. 2. Relationship between viewing angle θ and pixel position

Download full size

Fig. 3. Relationship among phase function, polarized phase function, and scattering angle. (a) Relationship between phase function and scattering angle; (b) relationship between polarized phase function and scattering angle

Download full size

Fig. 4. Flow chart of on-orbit polarization calibration algorithm

Download full size

Fig. 5. Distribution of polarization degree of optical lens in image matrix

Download full size

Fig. 6. Variation in polarization degree of optical lens with pixel position

Download full size

Fig. 7. Distribution of low frequency relative transmittance of optical lens in image matrix

Download full size

Fig. 8. Variation in low frequency relative transmittance of optical lens with pixel position

Download full size

Fig. 9. Comparison between on-orbit polarization calibration results and laboratory polarization calibration results. (a) Central field; (b) margin field

Download full size

Fig. 10. Uncertainty of polarizer channel 1. (a) u(L_r1p) varies with degree of polarization; (b) u(L_r1ε) varies with degree of polarization

Download full size

Fig. 11. Uncertainty of polarizer channel 2. (a) u(L_r2p) varies with degree of polarization; (b) u(L_r2ε) varies with degree of polarization

Download full size

Fig. 12. Uncertainty of polarizer channel 3. (a) u(L_r3p) varies with degree of polarization; (b) u(L_r3ε) varies with degree of polarization

Download full size

Channel	Laboratory polarization calibration result	Annual average value in 2016	Relative error δin 2016 /%	Annual average value in 2017	Relative error δin 2017 /%	Annual average value in 2018	Relative error δin 2018 /%
565 nm, channel 1	1.0266	1.0145	1.17	1.0197	0.67	1.0162	1.01
565 nm, channel 3	1.0493	1.0371	1.16	1.0568	0.71	1.0381	1.06
670 nm, channel 1	1.0105	0.9752	3.49	0.9851	2.51	0.9772	3.29
670 nm, channel 3	1.0060	0.9528	5.28	0.9772	2.86	0.9543	5.13
865 nm, channel 1	1.0263	0.9871	3.81	0.9960	2.95	0.9845	4.07
865 nm, channel 3	0.9833	0.9624	2.12	0.9693	1.42	0.9529	3.09

Table 1. Change of average relative transmittance of filter-polarizer combination in three years

Region	a₅	a₄	a₃	a₂	a₁	a₀
Upper left diagonal of image matrix	9.77×10^-12	-4.11×10^-9	5.70×10^-7	2.81×10^-5	8.38×10^-4	3.94×10^-3
Upper right diagonal of image matrix	4.56×10^-12	-1.96×10^-9	2.56×10^-7	6.23×10^-6	4.77×10^-6	1.31×10^-3

Table 2. Fitting curve parameters of polarization degree of optical lens

Region	b₅	b₄	b₃	b₂	b₁	b₀
Upper left diagonal of image matrix	5.18×10^-12	-2.59×10^-9	4.60×10^-7	-3.66×10^-5	7.54×10^-4	0.97
Upper right diagonal of image matrix	-1.15×10^-11	4.96×10^-9	7.57×10^-7	4.54×10^-6	1.13×10^-3	0.97

Table 3. Fitting curve parameters of low frequency relative transmittance of optical lens

Position	Polarization response matrix
Central field of view	$[\begin{array}{l} 0.992 & - 0.494 & - 0.857 \\ 0.973 & 0.971 & 0 \\ 1.028 & - 0.512 & 0.888 \end{array}]$
Upper left field of view of image matrix	$[\begin{array}{l} 0.826 & - 0.332 & - 0.760 \\ 0.966 & 0.964 & 0 \\ 0.856 & - 0.344 & 0.787 \end{array}]$
Upper right field of view of image matrix	$[\begin{array}{l} 0.831 & - 0.338 & - 0.762 \\ 0.964 & 0.963 & 0 \\ 0.861 & - 0.350 & 0.790 \end{array}]$

Table 4. Polarization response matrix

Yipeng Zhang, Xiuqing Hu, Dekui Yin, Mingjian Gu. Full Image On-Orbit Polarization Calibration Method of Multi-Angle Polarization Imager[J]. Acta Optica Sinica, 2020, 40(19): 1911001

Download Citation

Set citation alerts for the article

Tools

Set citation alerts for the article

Save the article for my favorites

Paper Information