Optimal Configurations of Mueller Polarimeter for Gaussian–Poisson Mixed Noise

The accuracy of the Mueller polarimeter is usually affected by Gaussian–Poisson mixed noise, and by optimizing the instrument matrices of polarization state generator and polarization state analyzer in the measurement system, the estimation variance caused by Gaussian noise can be suppressed, and th...

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Main Authors: Zheng Hu, Qianhao Zhao, Hui Ma
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/13/6521
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author Zheng Hu
Qianhao Zhao
Hui Ma
author_facet Zheng Hu
Qianhao Zhao
Hui Ma
author_sort Zheng Hu
collection DOAJ
description The accuracy of the Mueller polarimeter is usually affected by Gaussian–Poisson mixed noise, and by optimizing the instrument matrices of polarization state generator and polarization state analyzer in the measurement system, the estimation variance caused by Gaussian noise can be suppressed, and the estimation variance caused by Poisson noise can be made independent of the sample. However, the optimization procedure usually targets only the numerical value of the instrument matrix without considering how to configure the measurement system to achieve the optimal instrument matrix. In this paper, we investigate how to make the measurement system optimal for different measurement systems by combining geometric optimization on the Poincaré sphere and finally propose a series of measurement configurations for different applications.
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spelling doaj.art-7c79cc68ab8441fb8b78ac842f0cd18d2023-11-23T19:38:07ZengMDPI AGApplied Sciences2076-34172022-06-011213652110.3390/app12136521Optimal Configurations of Mueller Polarimeter for Gaussian–Poisson Mixed NoiseZheng Hu0Qianhao Zhao1Hui Ma2Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, ChinaShenzhen International Graduate School, Tsinghua University, Shenzhen 518055, ChinaShenzhen International Graduate School, Tsinghua University, Shenzhen 518055, ChinaThe accuracy of the Mueller polarimeter is usually affected by Gaussian–Poisson mixed noise, and by optimizing the instrument matrices of polarization state generator and polarization state analyzer in the measurement system, the estimation variance caused by Gaussian noise can be suppressed, and the estimation variance caused by Poisson noise can be made independent of the sample. However, the optimization procedure usually targets only the numerical value of the instrument matrix without considering how to configure the measurement system to achieve the optimal instrument matrix. In this paper, we investigate how to make the measurement system optimal for different measurement systems by combining geometric optimization on the Poincaré sphere and finally propose a series of measurement configurations for different applications.https://www.mdpi.com/2076-3417/12/13/6521optimizationMueller polarimetryGaussian–Poisson mixed noise
spellingShingle Zheng Hu
Qianhao Zhao
Hui Ma
Optimal Configurations of Mueller Polarimeter for Gaussian–Poisson Mixed Noise
Applied Sciences
optimization
Mueller polarimetry
Gaussian–Poisson mixed noise
title Optimal Configurations of Mueller Polarimeter for Gaussian–Poisson Mixed Noise
title_full Optimal Configurations of Mueller Polarimeter for Gaussian–Poisson Mixed Noise
title_fullStr Optimal Configurations of Mueller Polarimeter for Gaussian–Poisson Mixed Noise
title_full_unstemmed Optimal Configurations of Mueller Polarimeter for Gaussian–Poisson Mixed Noise
title_short Optimal Configurations of Mueller Polarimeter for Gaussian–Poisson Mixed Noise
title_sort optimal configurations of mueller polarimeter for gaussian poisson mixed noise
topic optimization
Mueller polarimetry
Gaussian–Poisson mixed noise
url https://www.mdpi.com/2076-3417/12/13/6521
work_keys_str_mv AT zhenghu optimalconfigurationsofmuellerpolarimeterforgaussianpoissonmixednoise
AT qianhaozhao optimalconfigurationsofmuellerpolarimeterforgaussianpoissonmixednoise
AT huima optimalconfigurationsofmuellerpolarimeterforgaussianpoissonmixednoise