Principle analysis of snapshot Mueller matrix imaging polarimeter using birefringent crystal

Cao Qi-Zhi; Yuan Chang-An; Hu Bao-Qing; Ren Wen-Yi; Zhao Yin-Jun; Zhang Jing; Li Jian-Ying; Deng Ting; Mingwu Jin

doi:10.7498/aps.67.20172604

Abstract

Conventional Muller matrix imaging polarimeter (MMIP) with several rotating elements suffers mechanical complexity, vibration noise, heat generation, and other unwanted problems. To overcome those shortcomings, we present a snapshot Muller matrix imaging polarimeter (SMMIP) using a birefringent crystal with high extinction ratio. The snapshot imaging polarimeter allows a single image to be used to measure the polarization of a scene without electronic control units or moving mechanical components. This new polarimeter combines the technique of Muller matrix spectropolarimetry with a snapshot imaging polarimeter through using modified Savart polariscope (MSP-SMMIP). It contains both a generator and an analyzer module. Spatial polarization fringes are localized on a sample by incorporating modified Savart polariscope into a polarization generator module. These fringes modulate the Mueller matrix components of the sample, which are subsequently isolated with modified Savart polariscope in an analyzer module, and the analyzer and the imaging lens combine with 16 beams to create interference, resulting in spatial modulation on the two-dimensional CCD camera. Expressions for interference intensities, optical system analysis, theory of calibration and method of reconstruction are presented. Finally, the numerical simulation is used to demonstrate theoretical analysis and the feasibility of MSP-SMMIP. The layout is very easy to calibrate and the reference target is only a linear polarizer at 22.5°. Moreover, the remarkable advantages of the proposed instrument, compared with conventional Muller matrix imaging polarimeter, are that it is also simple, compact, snapshotted, and static (no moving parts). Therefore we believe that the proposed snapshot imaging polarimeter will be very useful in many applications, such as biomedical imaging and remote sensing.

Keywords:

Authors and contacts

1.
College of Physics and Electronic Engineering, Guangxi Teachers Education University, Nanning 530023, China;
2.
Key Laboratory of Environment Change and Resources Use in Beibu Gulf, Ministry of Education and Guangxi Key Laboratory of Earth Surface Processes and Intelligent Simulation, Guangxi Teachers Education University, Nanning 530023, China;
3.
School of Science Northwest A & F University, Yangling 712100, China;
4.
Department of Physics, University of Texas at Arlington, Arlington, TX 76019, USA;
5.
Department of Electrical and Computer Engineering, University of Delaware, Newark, DE 19716, USA

Corresponding author: Zhang Jing, zhangjing@gxtc.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11664004, 11504297, 41661021, 41661085), the Innovative Research Team Foundation of Guangxi, China (Grant No. 2016JJF15001), the Natural Science Foundation of Guangxi, China (Grant No. 2016GXNSFAA380241), Shaanxi Science and Technology (Grant No. 2016KTZDGY05-02), Basic Ability Promotion Project of Guangxi Middle and Young Teachers in University, China (Grant No. 2017KY0403), Key Laboratory of Environment Change and Resources Use in Beibu Gulf, Ministry of Education, China (Guangxi Teachers Education University), the Ph. D. Initial Fund of the Guangxi Teachers Education University, China.

References

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[26]	Goldstein D H 1992 Appl. Opt. 31 6676
[27]	Pezzaniti L, Chipman R 1995 Opt. Eng. 34 1558
[28]	Du E, He H, Zeng N, Sun M, Guo Y, Wu J, Ma H 2014 J. Biomed. Opt. 19 760131
[29]	Sun M, He H, Zeng N, Du E, Guo Y, Liu S, Wu J, He R, Ma H 2014 Biomed. Opt. Express 5 4223
[30]	Li J H, Zheng M, Zhang X B, Li Y Q 2016 Laser Optoelectron. Prog. 53 212021 (in Chinese)[李建慧, 郑猛, 张雪冰, 李艳秋 2016 激光与光电子学进展 53 212021]
[31]	Deng Y 2005 Ph. D. Dissertation (Wuhan:Huazhong University of Science and Technology) pp83-97 (in Chinese)[邓勇2005 博士学位论文 (武汉:华中科技大学) 第83-97页]
[32]	Zhang X G, Jiang Y S, Lu X M 2008 Acta Opt. Sin. 28 1191 (in Chinese)[张绪国, 江月松, 路小梅 2008 光学学报 28 1191]
[33]	Chen X G, Liu S Y, Zhang C W, Wu Y P, Ma Z C, Sun T Y, Xu Z M (in Chinese)[陈修国, 刘世元, 张传维, 吴懿平, 马智超, 孙堂友, 徐智谋 2014 物理学报 63 180701]
[34]	Li Y B, Li S B, Chen W J, Zeng Y X, Yang J Y (in Chinese)[李宇波, 李世博, 陈伟坚, 曾宇骁, 杨建义 2010 光电工程 37 41]
[35]	Kudenov M, Escuti M, Dereniak E Oka K 2011 Appl. Opt. 50 2283
[36]	Oka K, Kaneko T 2003 Opt. Express 11 1510
[37]	Luo H, Oka K, DeHoog E, Schiewgerling J, Dereniak E L 2008 Appl. Opt. 47 4413
[38]	Luo H T 2008 Ph. D. Dissertation (Arizona:Universityof Arizona) pp21-54
[39]	Cao Q Z, Zhang C M, DeHoog E 2012 Appl. Opt. 51 5791
[40]	Cao Q Z, Zhang J, DeHoog E, Zhang C M 2016 Appl. Opt. 55 954
[41]	Cao Q Z, Zhang J, DeHoog E, Lu Y, Hu B Q, Li W G, Li J Y, Fan D X, Deng T, Yan Y (in Chinese)[曹奇志, 张晶, Edward DeHoog, 卢远, 胡宝清, 李武钢, 李建映, 樊东鑫, 邓婷, 阎妍 2016 物理学报 65 050702]

Cited By

[1]	Snik F, Craven-Jones J, Escuti M, Fineschid S, Harringtone D, Martinof A D, Mawetg D, Riedih J, Tyo J S 『2014Proc. SPIE 9099, Polarization:Measurement, Analysis, and Remote Sensing XI Baltimore, Maryland, United States, March 24-28, 2014 p90990B』
[2]	Tyo J, Goldstein L, Chenault B, Shaw A 2006 Appl. Opt. 45 5453
[3]	Li S J, Jiang H L, Zhu J P, Duan J, Fu Q, Fu Y G, Dong K Y (in Chinese)[李淑军, 姜会林, 朱京平, 段锦, 付强, 付跃刚, 董科研 2013 中国光学 6 803]
[4]	Bass M, Mahajan N 2010 Handbook of Optics, 3rd Edition, Volume I:Geometrical and Physical Optics, Polarized Light, Components and Instruments (New York:McGraw Hill) pp478-512
[5]	Wang Y, He H, Zeng N, Xie J, Liao R, Chang J, Sun M, Ma H 2015 World J. Complex Med. 1 74 (in Chinese)[王晔, 何宏辉, 曾楠, 谢军, 廖然, 常金涛, 孙明皓, 马辉 2015 世界复合医学 1 74]
[6]	Goldstein D H 2010 Polarized Light (3rd Ed.) (Boca Raton:CRC Press) pp628-631
[7]	Lu S Y, Chipman R 1996 J. Opt. Soc. Am. A 13 1106
[8]	Guo Y H 2014 Ph. D. Dissertation (Shenzhen:Tsinghua University) pp10-30 (in Chinese)[郭亦鸿2014 博士学位论文 (深圳:清华大学) 第11–30页]
[9]	He H, Zeng N, Du E, Guo Y, Li D, Liao R, Ma H 2013 Photon. Lasers Med. 2 129
[10]	Alali S, Vitkin A 2015 J. Biomed. Opt. 20 611041
[11]	Pierangelo A, Nazac A, Benali A, Validire P, Cohen H, Novikova T, Ibrahim B, Manhas S, Fallet C, Antonelli M, Martino A 2013 Opt. Express 21 14120
[12]	Wang Y, Kudenov M, Kashani A, Kashani A, Schwiegerling J, Escuti M 『2015 Proc. SPIE 9613, Polarization Science and Remote Sensing VⅡ San Diego, California, United States September 1, 2015 p96130A』
[13]	Bueno M, Artal P 1999 Opt. Lett. 24 64
[14]	Li Y N, Sun X B, Qiao Y L, Zhang Q, Hong J (in Chinese)[李雅男, 孙晓兵, 乔延利, 张荞, 洪津 2010 大气与环境光学学报 5 203]
[15]	Qiao L F, Zhang Y M, Xie Q Y, Fang J, Wang J J, Zhang Q X 2009 J. Combust. Sci. Technol. 15 172 (in Chinese)[乔利锋, 张永明, 谢启源, 方俊, 王进军, 张启兴 2009 燃烧科学与技术 15 172]
[16]	Wang Y, Wang H, Chen S, Qi Y, Liu H 2011 Proc. SPIE 8192, International Symposium on Photoelectronic Detection and Imaging 2011 Laser Sensing and Imaging; and Biological and Medical Applications of Photonics Sensing and Imaging Beijing, China, August 23, 2011 p81923U1
[17]	Xiao S A, Li G H, Li J Z, Xue Q W 1991 J. Qufu Normal Univ. 18 44 (in Chinese)[肖胜安, 李国华, 李继仲, 薛庆文 1991 曲阜师范大学学报 18 44]
[18]	Wang X, Zhang M Y, Chen Z Y, Bai X F, Jin W Q (in Chinese)[王霞, 张明阳, 陈振跃, 拜晓锋, 金伟其 2013 红外与激光工程 42 2244]
[19]	Azzam A 1978 Opt. Lett. 2 148
[20]	Collins W, Koh J 1999 J. Opt. Soc. Am. A 16 1997
[21]	Gerligand Y, Smith M, Chipman R 1999 Opt. Express 4 420
[22]	Laude-Boulesteix B, Martino A, Drévillon B, Schwartz L 2004 Appl. Opt. 43 2824
[23]	Benkelfat E, Horache H, Zou Q, Vinouze B 2003 Opt. Commun. 221 271
[24]	Jellison E, Modine A 1997 Appl. Opt. 36 8190
[25]	Kudenov M, Escuti M, Hagen N, Dereniak E, Oka K 2012 Opt. Lett. 37 1367
[26]	Goldstein D H 1992 Appl. Opt. 31 6676
[27]	Pezzaniti L, Chipman R 1995 Opt. Eng. 34 1558
[28]	Du E, He H, Zeng N, Sun M, Guo Y, Wu J, Ma H 2014 J. Biomed. Opt. 19 760131
[29]	Sun M, He H, Zeng N, Du E, Guo Y, Liu S, Wu J, He R, Ma H 2014 Biomed. Opt. Express 5 4223
[30]	Li J H, Zheng M, Zhang X B, Li Y Q 2016 Laser Optoelectron. Prog. 53 212021 (in Chinese)[李建慧, 郑猛, 张雪冰, 李艳秋 2016 激光与光电子学进展 53 212021]
[31]	Deng Y 2005 Ph. D. Dissertation (Wuhan:Huazhong University of Science and Technology) pp83-97 (in Chinese)[邓勇2005 博士学位论文 (武汉:华中科技大学) 第83-97页]
[32]	Zhang X G, Jiang Y S, Lu X M 2008 Acta Opt. Sin. 28 1191 (in Chinese)[张绪国, 江月松, 路小梅 2008 光学学报 28 1191]
[33]	Chen X G, Liu S Y, Zhang C W, Wu Y P, Ma Z C, Sun T Y, Xu Z M (in Chinese)[陈修国, 刘世元, 张传维, 吴懿平, 马智超, 孙堂友, 徐智谋 2014 物理学报 63 180701]
[34]	Li Y B, Li S B, Chen W J, Zeng Y X, Yang J Y (in Chinese)[李宇波, 李世博, 陈伟坚, 曾宇骁, 杨建义 2010 光电工程 37 41]
[35]	Kudenov M, Escuti M, Dereniak E Oka K 2011 Appl. Opt. 50 2283
[36]	Oka K, Kaneko T 2003 Opt. Express 11 1510
[37]	Luo H, Oka K, DeHoog E, Schiewgerling J, Dereniak E L 2008 Appl. Opt. 47 4413
[38]	Luo H T 2008 Ph. D. Dissertation (Arizona:Universityof Arizona) pp21-54
[39]	Cao Q Z, Zhang C M, DeHoog E 2012 Appl. Opt. 51 5791
[40]	Cao Q Z, Zhang J, DeHoog E, Zhang C M 2016 Appl. Opt. 55 954
[41]	Cao Q Z, Zhang J, DeHoog E, Lu Y, Hu B Q, Li W G, Li J Y, Fan D X, Deng T, Yan Y (in Chinese)[曹奇志, 张晶, Edward DeHoog, 卢远, 胡宝清, 李武钢, 李建映, 樊东鑫, 邓婷, 阎妍 2016 物理学报 65 050702]

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