分振幅型全Stokes同时偏振成像系统波片相位延迟误差分析
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摘要
分振幅型全Stokes同时偏振成像仪具有实时性好、空间分辨率高、精度高等优点,有很高的应用价值.分振幅型全Stokes同时偏振成像系统利用偏振分束器、1/2波片和1/4波片将入射光Stokes矢量调制在4幅图像中,可解析入射光Stokes矢量. 1/2波片和1/4波片的相位延迟误差对Stokes矢量测量精度有着不可忽略的影响.建立了包含上述两种误差的Stokes矢量测量误差方程,分析了1/2波片和1/4波片相位延迟耦合误差对自然光、0°/45°线偏光、左旋圆偏光等典型基态入射光的Stokes矢量测量误差的影响,推导了任意偏振态的Stokes矢量测量误差的表征方法.在邦加球球面和球内选取不同偏振度的Stokes矢量作为入射光进行仿真.结果表明, Stokes矢量测量误差和偏振度测量误差均随着入射光偏振度的增大而增大.选取入射光偏振度为1时的偏振测量精度评估系统.为满足2%的偏振测量精度, 1/2波片相位延迟误差应在±1.6°内, 1/4波片相位延迟误差应在±0.5°内.这对提高系统的偏振测量精度具有重要意义,为系统设计和研制提供了重要的理论指导.
The division-of-amplitude full Stokes simultaneous polarization imaging system has prominent merits, such as real time, high spatial resolution, high precision, etc. The development of the division-of-amplitude full Stokes simultaneous polarization imaging system has a high application value. The division-of-amplitude full Stokes simultaneous polarization imaging system uses polarization beam splitters, a half wave plate(HWP) and a quarter wave plate(QWP) to modulate the incident Stokes vector into four intensity images. Using the four intensity images, the incident Stokes vector can be analyzed. In the system, the phase delay errors of the HWP and the QWP have a direct influence on the measurement accuracy of the incident Stokes vector. A Stokes vector measurement error equation containing the phase delay errors of the HWP and the QWP is established.When there are the phase delay errors of the HWP and the QWP in the system, the Stokes vector measurement errors of the unpolarized light, 0° liner polarized light, 90° liner polarized light, 45° liner polarized light, 135°liner polarized light, right circularly polarized light and left circularly polarized light are analyzed. A method of solving the Stokes vector measurement error of incident light with any polarization state is given. When the Stokes vectors with different degrees of polarization(DOPs) are used as the incident light, the simulation results show that both the Stokes vector measurement error and the DOP measurement error increase with the DOP of incident light increasing. Therefore, we select the polarization measurement accuracy to evaluate the system when the DOP of incident light equals 1. To ensure that the polarization measurement accuracy of the system is within 2%, the phase delay error of the HWP should be within ±1.6° and the phase delay error of the QWP should be within ±0.5°. The analysis results of the phase delay errors of the HWP and the QWP are of great significance for improving the polarization measurement accuracy of the division-of-amplitude full Stokes simultaneous polarization imaging system, and also provide important theoretical guidance in designing and developing the system.
The division-of-amplitude full Stokes simultaneous polarization imaging system has prominent merits, such as real time, high spatial resolution, high precision, etc. The development of the division-of-amplitude full Stokes simultaneous polarization imaging system has a high application value. The division-of-amplitude full Stokes simultaneous polarization imaging system uses polarization beam splitters, a half wave plate(HWP) and a quarter wave plate(QWP) to modulate the incident Stokes vector into four intensity images. Using the four intensity images, the incident Stokes vector can be analyzed. In the system, the phase delay errors of the HWP and the QWP have a direct influence on the measurement accuracy of the incident Stokes vector. A Stokes vector measurement error equation containing the phase delay errors of the HWP and the QWP is established.When there are the phase delay errors of the HWP and the QWP in the system, the Stokes vector measurement errors of the unpolarized light, 0° liner polarized light, 90° liner polarized light, 45° liner polarized light, 135°liner polarized light, right circularly polarized light and left circularly polarized light are analyzed. A method of solving the Stokes vector measurement error of incident light with any polarization state is given. When the Stokes vectors with different degrees of polarization(DOPs) are used as the incident light, the simulation results show that both the Stokes vector measurement error and the DOP measurement error increase with the DOP of incident light increasing. Therefore, we select the polarization measurement accuracy to evaluate the system when the DOP of incident light equals 1. To ensure that the polarization measurement accuracy of the system is within 2%, the phase delay error of the HWP should be within ±1.6° and the phase delay error of the QWP should be within ±0.5°. The analysis results of the phase delay errors of the HWP and the QWP are of great significance for improving the polarization measurement accuracy of the division-of-amplitude full Stokes simultaneous polarization imaging system, and also provide important theoretical guidance in designing and developing the system.
引文
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[17] Li H, Zhu J P, Zhang N, Zhang Y Y, Qiang F, Zong K 2016Acta Phys.Sin. 65 134202(in Chinese)[李浩,朱京平,张宁,张云尧,强帆,宗康2016物理学报65 134202]
[18] Mu T K, Zhang C M, Li Q W, Liang R G 2015 Opt. Express23 10822
[19] Alenin A S, Vaughn I J, Tyo J S 2018 Appl. Optics 57 2327
[20] Li G P, Wang L, Xie Y 2009 Journal of Astronautic Metrology and Measurement 29 55(in Chinese)[黎高平,王雷,谢毅2009宇航计测技术29 55]
[21] Liao Y B 2003 Polarization Optics(Beijing:Science Press)pp45-63(in Chinese)[廖延彪2003偏振光学(北京:科学出版社)第45—63页]
[2] Han P L, Liu F, Zhang G, Tao Y, Shao X P 2018 Acta Phys.Sin. 67 054202(in Chinese)[韩平丽,刘飞,张广,陶禹,邵晓鹏2018物理学报67 054202]
[3] Teimuraz K, Giorgi K, Barbara K, Giorge K, Vazha K, Eldar K, Otar K, David K 2017 A&A2 20
[4] Qian H H, Meng B H, Yuan Y L, Hong J, Zhang M M, Li S,Qiu Z W 2017 Acta Phys.Sin. 66 100701(in Chinese)[钱鸿鹄,孟炳寰,袁银麟,洪津,张苗苗,李双,裘桢炜2017物理学报66 100701]
[5] Huang X, Bai J, Wang K, Liu Q, Luo Y, Yang K, Zhang X2017 Opt. Express 25 001173
[6] Jacques S L, Roussel S, Samatham R 2016 J. Biomed. Opt.21 071115
[7] Azzam R M A 1982 Opt. Acta 29 685
[8] Pezzaniti J L, Chenault D, Roche M, Reinhardt J, Pezzaniti J P, Schultz H 2008 Proc. SPIE 6972 69720J
[9] Oka K, Kaneko T 2003 Opt. Express 11 1510
[10] Luo H T, Oka K, DeHoog E, Kudenov M, Schiewgerling J,Dereniak E L 2008 Appl. Opt. 47 4413
[11] Cao Q Z, Zhang C M, DeHoog E 2012 Appl. Opt. 51 5791
[12] Saito N, Odate S, Otaki K, Kubota M, Kitahara R, Oka K2013 Proc. SPIE 8873 88730M-1
[13] Quan N C, Zhang C M, Mu T K 2016 Acta Phys. Sin. 65080703(in Chinese)[卿乃承,张淳民,穆廷魁2016物理学报65 080703]
[14] Feng B, Shi Z L, Liu H Z, Liu L, Zhao Y H, Zhang J C 2018J. Optics-UK 20 065703
[15] Li C L, Sun X B, Wang H, Wei W, Shu C M 2014 Acta Optica Sinica 34 0412004(in Chinese)[李翠丽,孙晓兵,王涵,韦玮,舒存铭2014光学学报34 0412004]
[16] Liu Z, Yang W F, Ye Q H, Hong J, Gong G Y, Zheng X B2016 Appl. Optics 55 1934
[17] Li H, Zhu J P, Zhang N, Zhang Y Y, Qiang F, Zong K 2016Acta Phys.Sin. 65 134202(in Chinese)[李浩,朱京平,张宁,张云尧,强帆,宗康2016物理学报65 134202]
[18] Mu T K, Zhang C M, Li Q W, Liang R G 2015 Opt. Express23 10822
[19] Alenin A S, Vaughn I J, Tyo J S 2018 Appl. Optics 57 2327
[20] Li G P, Wang L, Xie Y 2009 Journal of Astronautic Metrology and Measurement 29 55(in Chinese)[黎高平,王雷,谢毅2009宇航计测技术29 55]
[21] Liao Y B 2003 Polarization Optics(Beijing:Science Press)pp45-63(in Chinese)[廖延彪2003偏振光学(北京:科学出版社)第45—63页]