Azimuth optimization of polarizers for the aerosol polarimeter

Dai Hu; Yan Changxiang; Wu Congjun

Volume 44 Issue 4

May 2015

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Article Navigation > Infrared and Laser Engineering > 2015 > 44(4): 1243-1248

Dai Hu, Yan Changxiang, Wu Congjun. Azimuth optimization of polarizers for the aerosol polarimeter[J]. Infrared and Laser Engineering, 2015, 44(4): 1243-1248.

Citation:

Dai Hu, Yan Changxiang, Wu Congjun. Azimuth optimization of polarizers for the aerosol polarimeter[J]. Infrared and Laser Engineering, 2015, 44(4): 1243-1248.

Azimuth optimization of polarizers for the aerosol polarimeter

1.
Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;
2.
University of Chinese Academy of Sciences,Beijing 100049,China

Received Date: 2014-08-10
Rev Recd Date: 2014-09-03
Publish Date: 2015-04-25

Abstract

The polarization effect of the imperfect lens components changes the analysis matrix of the polarimetry system, so the optimum configuration of the system shifts. In order to maximize SNR of the aerosol polarimeter, the polarization degree of the imperfect lens components was computed by means of Jones matrix, and the optimum azimuth angles of polarizers were found to minimize the condition number of the system analysis matrix and the parameter Tr(BBT), respectively. After optimizing, the optimum angles of polarizers at 670 nm channel and 1 641 nm channel were found, respectively. The condition number of the system analysis matrix reduced from 1.836 0 to 1.689 4 at 670 nm channel, while that of the system analysis matrix fall from 1.977 7 to 1.771 4 at 1 641 nm channel. It is indicated that the results of these two optimization methods are consistent, and both of the SNRs are is improved about 10% at 670 nm and 1 641 nm channels.
- polarization sensing,
- signal-noise-ratio,
- condition number,
- singular value decomposition,
- azimuth of polarizer

References

[1]
[2]	Gong Jieqiong, Zhan Haigang, Liu Dazhao. A review on polarization information in the remote sensing detection[J]. Spectroscopy and Spectral Analysis, 2010, 30(4): 1088-1095. (in Chinese) 弓洁琼, 詹海刚, 刘大召. 遥感遥测中偏振信息的研究进展[J]. 光谱学与光谱分析, 2010, 30(4): 1088-1095.
[3]
[4]	Yan Lei, Xiang Yun, Li Yubo. Progress of polarization remote sensing research[J]. Journal of Atmospheric and Environmental Optics, 2010, 5(3): 162-174. (in Chinese) 晏磊, 相云, 李宇波. 偏振遥感研究进展[J]. 大气与环境光学学报, 2010, 5(3): 162-174.
[5]
[6]	Zhang Ying, Zhao Huijie, Cheng Xuan. Design of full-polarized and multi-spectral imaging system based on LCVR[J]. Spectroscopy and Spectral Analysis, 2011, 31(5): 1375-1378. (in Chinese) 张颖, 赵慧杰, 程宣. 基于LCVR调谐的全偏振多谱段成像系统[J]. 光谱学与光谱分析, 2011, 31(5): 1375-1378.
[7]	Wu Fengcheng, Xie Pinhua, Li Ang. Research of aerosol extinction inverted with look-up table method based on multi-axis differential optical absorption spectroscopy [J]. Acta Optics Sinica, 2013, 33(6): 0601002-1-0601002-9. (in Chinese) 吴丰成, 谢品华, 李昂. 基于多轴差分吸收光谱技术的查找表法反演气溶胶消光廓线研究[J]. 光学学报, 2013, 33(6): 0601002-1-0601002-9.
[8]
[9]
[10]	Zhang Zhaoyang, Su Lin, Chen Liangfu. Retrieval and analysis of aerosol Lider ratio at several typical regions in China[J]. Chinese Journal of Lasers, 2013, 40(5): 0513002-1-0513002-6. (in Chinese) 张朝阳, 苏林, 陈良富. 中国典型地区气溶胶激光雷达比反演与分析[J]. 中国激光, 2013, 40(5): 0513002-1-0513002-6.
[11]	Zhang Qianqian, Gao Jun, Xu Xiaohong. Analysis of multiple scattering polarization transmission properties[J]. Chinese Journal of Lasers, 2012, 39(12): 1213001-1-1213001-8. (in Chinese) 张倩倩, 高隽, 徐小红. 多粒子散射的偏振传输特性分析[J]. 中国激光, 2012, 39 (12): 1213001-1-1213001-8.
[12]
[13]	Huang Chaojun, Wu Zhensen, Liu Yafeng. Numerical calculation of optical properties of multi-particle size aerosol aggregate particles[J]. Acta Optics Sinica, 2013, 33(6):0601004-1-0601004-5. (in Chinese) 黄朝军, 吴振森, 刘亚锋. 多粒子气溶胶凝聚粒子光学特性的数值计算[J]. 光学学报, 2013, 33(6): 0601004-1-0601004-5.
[14]
[15]	Ambirajan A, Look D C. Optimum angles for a polarimeter: part I [J]. Opt Eng, 1995, 34(6): 1651-1655.
[16]
[17]
[18]	Ambirajan A, Look D C. Optimum angles for a polarimeter: part II[J]. Opt Eng, 1995, 34(6): 1656-1659.
[19]
[20]	Sabatke D S, Descour M R, Dereniak E. Optimization of retardance for a complete Stokes polarimeter[J]. Opt Lett, 2000, 25(11): 802-804.
[21]	Sabatke D S, Locke A M, Descour M R. Figures of merit for complete Stokes polarimeters [C]//SPIE, 2000, 4133: 75-81.
[22]
[23]
[24]	Tyo J S. Noise equalization in Stokes parameter images obtained by use of variable-retardance polarimeters[J]. Opt Lett, 2000, 25(16): 1198-2000.
[25]
[26]	Tyo J S. Considerations in polarimeter design[C]//SPIE, 2000, 4133: 65-74.
[27]	Scott Tyo J, Goldstein Dennis L, Chenault David B. Review of passive imaging polarimetry for remote sensing applications [J]. Appl Opt, 2006, 45(22): 5453-5469.
[28]
[29]	Tyo J S. Optimum linear combination strategy for an N-channel polarization-sensitive imaging or vision system[J]. Opt Soc Am A, 1998, 15(2),:359-366.
[30]
[31]
[32]	Lu S Y, Chipman R A. Interpretation of Mueller matrices based on the polar decomposition[J]. J Opt Soc Am A, 1996, 13(5): 1106-1113.
[33]	Tyo J S, Turner T S. Variable-retardance, Fourier-transform imaging spectropolarimeters for visible spectrum remote sensing[J]. Appl Opt, 2001, 40(9): 1450-1458.
[34]
[35]
[36]	Walraven R. Polarization imagery[J]. Opt Eng, 1981, 20(1): 14-18.
[37]
[38]	Wolff L B. Polarization camera for computer vision with a beam splitter[J]. J Opt Soc Am A, 1994, 11(11): 2935-2945.
[39]	Azzam R M A, Elminyawi I M, El-Saba A M. General analysis and optimization of the four-detector photopolarimeter[J]. J Opt Soc Am A, 1988, 5(5):681-689.
[40]
[41]
[42]	Scott Tyo J. Design of optimal polarimeters: maximization of signal-to-noise ratio and minimization of systematic error [J]. Appl Opt, 2002, 41(4): 619-630.
[43]	Chen Tao, Zhao Yujie, Liu Dong. Inversion of micro-pulse Lidar signals with a new calibration method[J]. Chinese Journal of Lasers, 2012, 39(5): 0514001-1-0514001-5. (in Chinese) 陈涛, 赵玉洁, 刘东. 微脉冲激光雷达探测大气气溶胶定标反演新方法[J]. 中国激光, 2012, 39(5): 0514001-1-0514001-5.
[44]
[45]	R M A. The Measure of ellipsoidal Polarzation and Polarized Light[M]. Beijing: Science Press, 1986: 44-99. (in Chinese)
[46]
[47]
[48]	Zhao Yiming, Jiang Yuesong, Lu Xiaomei. Theory analysis of polarization characteristic of the light scattered by aerosol[J]. Infrared and laser Engineering, 2007, 36(6): 862-865. (in Chinese) 赵一鸣, 江月松, 路小梅. 气溶胶散射光偏振度特性的理论研究[J]. 红外与激光工程, 2007, 36(6): 862-865.
[49]	Chen Ligang, Meng Fangang, Yuan Yinlin, et al. Project of calibration method for polarization camera[J]. Journal of Atmospheric and Environmental Optics, 2010, 15(3): 227-231.(in Chinese) 陈立刚, 孟凡刚, 袁银麟, 等. 偏振相机的光学定标方案研究[J]. 大气与环境光学学报, 2010, 15(3): 227-231.

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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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Azimuth optimization of polarizers for the aerosol polarimeter

1. Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;

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

Received Date: 2014-08-10

Rev Recd Date: 2014-09-03

Publish Date: 2015-04-25

Key words:

Abstract: The polarization effect of the imperfect lens components changes the analysis matrix of the polarimetry system, so the optimum configuration of the system shifts. In order to maximize SNR of the aerosol polarimeter, the polarization degree of the imperfect lens components was computed by means of Jones matrix, and the optimum azimuth angles of polarizers were found to minimize the condition number of the system analysis matrix and the parameter Tr(BBT), respectively. After optimizing, the optimum angles of polarizers at 670 nm channel and 1 641 nm channel were found, respectively. The condition number of the system analysis matrix reduced from 1.836 0 to 1.689 4 at 670 nm channel, while that of the system analysis matrix fall from 1.977 7 to 1.771 4 at 1 641 nm channel. It is indicated that the results of these two optimization methods are consistent, and both of the SNRs are is improved about 10% at 670 nm and 1 641 nm channels.

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Reference (49)

[1]
[2]	Gong Jieqiong, Zhan Haigang, Liu Dazhao. A review on polarization information in the remote sensing detection[J]. Spectroscopy and Spectral Analysis, 2010, 30(4): 1088-1095. (in Chinese) 弓洁琼, 詹海刚, 刘大召. 遥感遥测中偏振信息的研究进展[J]. 光谱学与光谱分析, 2010, 30(4): 1088-1095.
[3]
[4]	Yan Lei, Xiang Yun, Li Yubo. Progress of polarization remote sensing research[J]. Journal of Atmospheric and Environmental Optics, 2010, 5(3): 162-174. (in Chinese) 晏磊, 相云, 李宇波. 偏振遥感研究进展[J]. 大气与环境光学学报, 2010, 5(3): 162-174.
[5]
[6]	Zhang Ying, Zhao Huijie, Cheng Xuan. Design of full-polarized and multi-spectral imaging system based on LCVR[J]. Spectroscopy and Spectral Analysis, 2011, 31(5): 1375-1378. (in Chinese) 张颖, 赵慧杰, 程宣. 基于LCVR调谐的全偏振多谱段成像系统[J]. 光谱学与光谱分析, 2011, 31(5): 1375-1378.
[7]	Wu Fengcheng, Xie Pinhua, Li Ang. Research of aerosol extinction inverted with look-up table method based on multi-axis differential optical absorption spectroscopy [J]. Acta Optics Sinica, 2013, 33(6): 0601002-1-0601002-9. (in Chinese) 吴丰成, 谢品华, 李昂. 基于多轴差分吸收光谱技术的查找表法反演气溶胶消光廓线研究[J]. 光学学报, 2013, 33(6): 0601002-1-0601002-9.
[8]
[9]
[10]	Zhang Zhaoyang, Su Lin, Chen Liangfu. Retrieval and analysis of aerosol Lider ratio at several typical regions in China[J]. Chinese Journal of Lasers, 2013, 40(5): 0513002-1-0513002-6. (in Chinese) 张朝阳, 苏林, 陈良富. 中国典型地区气溶胶激光雷达比反演与分析[J]. 中国激光, 2013, 40(5): 0513002-1-0513002-6.
[11]	Zhang Qianqian, Gao Jun, Xu Xiaohong. Analysis of multiple scattering polarization transmission properties[J]. Chinese Journal of Lasers, 2012, 39(12): 1213001-1-1213001-8. (in Chinese) 张倩倩, 高隽, 徐小红. 多粒子散射的偏振传输特性分析[J]. 中国激光, 2012, 39 (12): 1213001-1-1213001-8.
[12]
[13]	Huang Chaojun, Wu Zhensen, Liu Yafeng. Numerical calculation of optical properties of multi-particle size aerosol aggregate particles[J]. Acta Optics Sinica, 2013, 33(6):0601004-1-0601004-5. (in Chinese) 黄朝军, 吴振森, 刘亚锋. 多粒子气溶胶凝聚粒子光学特性的数值计算[J]. 光学学报, 2013, 33(6): 0601004-1-0601004-5.
[14]
[15]	Ambirajan A, Look D C. Optimum angles for a polarimeter: part I [J]. Opt Eng, 1995, 34(6): 1651-1655.
[16]
[17]
[18]	Ambirajan A, Look D C. Optimum angles for a polarimeter: part II[J]. Opt Eng, 1995, 34(6): 1656-1659.
[19]
[20]	Sabatke D S, Descour M R, Dereniak E. Optimization of retardance for a complete Stokes polarimeter[J]. Opt Lett, 2000, 25(11): 802-804.
[21]	Sabatke D S, Locke A M, Descour M R. Figures of merit for complete Stokes polarimeters [C]//SPIE, 2000, 4133: 75-81.
[22]
[23]
[24]	Tyo J S. Noise equalization in Stokes parameter images obtained by use of variable-retardance polarimeters[J]. Opt Lett, 2000, 25(16): 1198-2000.
[25]
[26]	Tyo J S. Considerations in polarimeter design[C]//SPIE, 2000, 4133: 65-74.
[27]	Scott Tyo J, Goldstein Dennis L, Chenault David B. Review of passive imaging polarimetry for remote sensing applications [J]. Appl Opt, 2006, 45(22): 5453-5469.
[28]
[29]	Tyo J S. Optimum linear combination strategy for an N-channel polarization-sensitive imaging or vision system[J]. Opt Soc Am A, 1998, 15(2),:359-366.
[30]
[31]
[32]	Lu S Y, Chipman R A. Interpretation of Mueller matrices based on the polar decomposition[J]. J Opt Soc Am A, 1996, 13(5): 1106-1113.
[33]	Tyo J S, Turner T S. Variable-retardance, Fourier-transform imaging spectropolarimeters for visible spectrum remote sensing[J]. Appl Opt, 2001, 40(9): 1450-1458.
[34]
[35]
[36]	Walraven R. Polarization imagery[J]. Opt Eng, 1981, 20(1): 14-18.
[37]
[38]	Wolff L B. Polarization camera for computer vision with a beam splitter[J]. J Opt Soc Am A, 1994, 11(11): 2935-2945.
[39]	Azzam R M A, Elminyawi I M, El-Saba A M. General analysis and optimization of the four-detector photopolarimeter[J]. J Opt Soc Am A, 1988, 5(5):681-689.
[40]
[41]
[42]	Scott Tyo J. Design of optimal polarimeters: maximization of signal-to-noise ratio and minimization of systematic error [J]. Appl Opt, 2002, 41(4): 619-630.
[43]	Chen Tao, Zhao Yujie, Liu Dong. Inversion of micro-pulse Lidar signals with a new calibration method[J]. Chinese Journal of Lasers, 2012, 39(5): 0514001-1-0514001-5. (in Chinese) 陈涛, 赵玉洁, 刘东. 微脉冲激光雷达探测大气气溶胶定标反演新方法[J]. 中国激光, 2012, 39(5): 0514001-1-0514001-5.
[44]
[45]	R M A. The Measure of ellipsoidal Polarzation and Polarized Light[M]. Beijing: Science Press, 1986: 44-99. (in Chinese)
[46]
[47]
[48]	Zhao Yiming, Jiang Yuesong, Lu Xiaomei. Theory analysis of polarization characteristic of the light scattered by aerosol[J]. Infrared and laser Engineering, 2007, 36(6): 862-865. (in Chinese) 赵一鸣, 江月松, 路小梅. 气溶胶散射光偏振度特性的理论研究[J]. 红外与激光工程, 2007, 36(6): 862-865.
[49]	Chen Ligang, Meng Fangang, Yuan Yinlin, et al. Project of calibration method for polarization camera[J]. Journal of Atmospheric and Environmental Optics, 2010, 15(3): 227-231.(in Chinese) 陈立刚, 孟凡刚, 袁银麟, 等. 偏振相机的光学定标方案研究[J]. 大气与环境光学学报, 2010, 15(3): 227-231.

Azimuth optimization of polarizers for the aerosol polarimeter

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