Estimation variance of dual-rotating-retarder Mueller matrix polarimeter in the presence of Gaussian thermal noise and poisson shot noise

doi:10.1088/2040-8986/ab613c

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	Estimation variance of dual-rotating-retarder Mueller matrix polarimeter in the presence of Gaussian thermal noise and poisson shot noise
	Quan, Naicheng 1,2; Zhang, Chunmin 3; Mu, Tingkui 3; Li, Siyuan 2; You, Caiyin 1
作者部门	光谱成像技术研究室
	2020
发表期刊	Journal of Optics (United Kingdom)
ISSN	20408978;20408986
卷号	22 期号:2
产权排序	2
摘要	In this paper, the close-form functions of estimation variances on the elements of the measured Mueller matrix for a dual-rotating-retarder Mueller matrix polarimeter with a rotating frequency ratio of 5ω:Nω (N = 1, 2, 3, 4, 6, 7, 8, 9) are addressed by theoretical analysis and simulations in the presence of additive Gaussian noise and signal-dependent Poisson shot noise, which are two dominant types of noise in the most commonly used detectors. The results provide a clear insight into the estimation precision of each Mueller matrix element. It is found that (1) estimation variances on each element of the Mueller matrix are heavily dependent on the retardances of the retarders and inversely proportional to the number of measurements; (2) for Gaussian noise, estimation variances are independent of rotating frequency ratio and dual 130.18° retardances can minimize the total variance of the 16 estimated Mueller matrix elements at a fixed number of measurements; (3) for Poisson noise, the estimation variances are only dependent on four elements of the Mueller matrix under test when the rotating frequency ratio of 5ω:7ω is used; (4) the retardance in the range from 126.43°-133.54° can result in a nearly-minimum total variance for both Gaussian and Poisson noise, whatever the observed Mueller matrix. These results are important for designing dual-rotating-retarder Mueller matrix polarimeters aimed at different types of applications and for assessing their performance. © 2019 IOP Publishing Ltd.
关键词	Mueller matrix polarimeter estimation variance
DOI	10.1088/2040-8986/ab613c
收录类别	EI
语种	英语
出版者	Institute of Physics Publishing
EI入藏号	20201008255006
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.opt.ac.cn/handle/181661/93293
专题	光谱成像技术研究室
通讯作者	Quan, Naicheng
作者单位	1.School of Materials Science and Engineering, Xi'an University of Technology, Xi'an; 710048, China; 2.Key Laboratory of Spectral Imaging Technology, Chinese Academy of Sciences, Xi'an; 710119, China; 3.Institute of Space Optics, School of Science, MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Xi'an Jiaotong University, Xi'an; 710049, China
推荐引用方式 GB/T 7714	Quan, Naicheng,Zhang, Chunmin,Mu, Tingkui,et al. Estimation variance of dual-rotating-retarder Mueller matrix polarimeter in the presence of Gaussian thermal noise and poisson shot noise[J]. Journal of Optics (United Kingdom),2020,22(2).
APA	Quan, Naicheng,Zhang, Chunmin,Mu, Tingkui,Li, Siyuan,&You, Caiyin.(2020).Estimation variance of dual-rotating-retarder Mueller matrix polarimeter in the presence of Gaussian thermal noise and poisson shot noise.Journal of Optics (United Kingdom),22(2).
MLA	Quan, Naicheng,et al."Estimation variance of dual-rotating-retarder Mueller matrix polarimeter in the presence of Gaussian thermal noise and poisson shot noise".Journal of Optics (United Kingdom) 22.2(2020).

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