基于孔径分割的全斯托克斯测量仪的误差分析
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摘要
基于孔径分割的全斯托克斯测量仪可以获取目标的全部偏振信息,但是偏振探测仪器自身的误差会影响测量结果的准确度,因此需要对测量仪获取斯托克斯矢量[S0,S1,S2,S3]时的测量误差进行分析。首先,研究了偏振光学中斯托克斯矢量相关理论;其次,介绍了基于孔径分割的全斯托克斯测量仪的工作原理和测量原理。然后,分析了测量仪获取斯托克斯矢量时的误差源。最后,仿真分析了该误差源对斯托克斯矢量和目标偏振信息(偏振度、椭率角和方位角)的影响。最终仿真结果表明:波片相位延迟量±5°时,偏振度和椭率角的相对误差为1.16%、4.55%,波片快轴方向相对于x轴的角度为±2°时,方位角的相对误差为7.68%;CCD探测器的噪声信噪比为40 d B时,偏振度、椭率角和方位角的相对误差约为1%。分析结果为实验装置元件参数的选择提供参考依据,为基于孔径分割的全斯托克斯测量仪的优化提供理论支持。
The whole Stokes measurement instrument based on aperture segmentation can obtain all polarization information of the target,but the polarization detector system has an effect on the measurement results.So it is necessary to analyze the measurement error of the Stokes vector [S_0,S_1,S_2,S_3].First,the theory of Stokes vector was researched; next,the working and measuring principle of the full Stokes measuring instrument were introduced; then,the error sources were analyzed; last,the influences of the error sources were simulated.The final simulation results show that,the relative error of polarization and elliptical angle are 1.16% and 4.55% when the phase retardation is ±5°,the relative error of azimuth angle is 7.68% when the fast axis direction of the wave plate is ±2° with respect to the x axis,and the relative error of polarization degree,elliptical angle and azimuth angle is about 1% when the signal-to-noise ratio of CCD detector is 40 d B.The analytical results provide reference for the selection of the component parameters of the experimental device,and support for the full Stokes measuring instrument based on aperture division.
The whole Stokes measurement instrument based on aperture segmentation can obtain all polarization information of the target,but the polarization detector system has an effect on the measurement results.So it is necessary to analyze the measurement error of the Stokes vector [S_0,S_1,S_2,S_3].First,the theory of Stokes vector was researched; next,the working and measuring principle of the full Stokes measuring instrument were introduced; then,the error sources were analyzed; last,the influences of the error sources were simulated.The final simulation results show that,the relative error of polarization and elliptical angle are 1.16% and 4.55% when the phase retardation is ±5°,the relative error of azimuth angle is 7.68% when the fast axis direction of the wave plate is ±2° with respect to the x axis,and the relative error of polarization degree,elliptical angle and azimuth angle is about 1% when the signal-to-noise ratio of CCD detector is 40 d B.The analytical results provide reference for the selection of the component parameters of the experimental device,and support for the full Stokes measuring instrument based on aperture division.
引文
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[2]Du E,He H,Zeng N,et al.Mueller matrix polarimetry for differentiating characteristic features of cancerous tissues[J].Journal of Biomedical Optics,2014,19(7):1729-1733.
[3]Wu P J,Walsh J T.Stokes polarimetry imaging of rat-tail tissue in a turbid medium using incident circularly polarized light[J].Lasers in Surgery&Medicine,2005,37(5):396-406.
[4]Giakos G C,Fraiwan L,Patnekar N,et al.A sensitive optical polarimettic imaging technique for surface defects detection of aircraft turbine engines[J].IEEE Transactions on Instrumentation&Measurement,2004,53(1):216-222.
[5]Horvath G,Hegedus R,Barta A,et al.Imaging polarimetry of the fogbow polarization characteristics of white rainbows measured in the high Arctic[J].Applied Optics,2011,50(28):F64-F71.
[6]Chen Weili,Wang Xia,Jin Weiqi,et al.Target detection experiment using mid-wave infrared polarization imaging[J].Infrared and Laser Engineering,2011,40(1):7-11.(in Chinese)
[7]Zhang Xuguo,Jiang Yuesong,Lu Xiaomei.Optimization and error analysis of optical components in laser remote sensing polarization imaging system[J].Journal of the Optical,2008,28(6):1191-1196.(in Chinese)
[8]Zhao Yiming,Jiang Yuesong,Zhang Xuguo.Laser polarization active detection and imaging system error research and system improvement[J].Optical Technology,2009,35(6):851-858.(in Chinese)
[9]Liao Yanbiao.Polarization Optics[M].Tianjin:Science Press,2003.(in Chinese)
[10]He Hucheng.Study on optical system of simulaneous and complete polarization imaging[D].Suzhou:Suzhou University,2014.(in Chinese)
[11]Mu Tingkui,Zhang Chunmin,Li Qiwei,et al.Error analysis of single-snapshot full-Stokes division-of-aperture imaging polarimeters[J].Optics Express,2015,23(8):10822-10835.
[12]He Chao,Chang Jintao,Wang Yong.A stokes vector measuring instrument based on four-quadrant detector[J].Journal of Infrared and Millimeter Waves,2016,35(1):57-62.(in Chinese)
[13]Ambirajan A,Look D C.Optimum angles for a polarimeter:partⅠ[J].Optical Engineering,1995,34(6):1651-1655.
[14]Tyo J S.Design of optimal polarimeters:maximization of signal-to-noise ratio and minimization of systematic error[J].Applied Optics,2002,41(4):619-630.
[15]Sabatke D S,Descour M R,Dereniak E L,et al.Optimization of retardance for a complete Stokes polarimeter[J].Optics Letters,2000,25(11):802-804.