Optimal Orientation Angle Configuration of Polarizers Exists in a 3 × 3 Mueller Matrix Polarimeter

A 3 × 3 Mueller matrix polarimeter, as one of the primary polarization measurement tools, has attracted intensive interest in various fields of polarization optics. In this paper, from a novel viewpoint with more mathematical analysis of the basic configuration and the working performance of a 3 × 3...

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Main Authors: Hanyue Wei, Yifu Zhou, Liyong Ren, Feiya Ma
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/10/10/1087
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author Hanyue Wei
Yifu Zhou
Liyong Ren
Feiya Ma
author_facet Hanyue Wei
Yifu Zhou
Liyong Ren
Feiya Ma
author_sort Hanyue Wei
collection DOAJ
description A 3 × 3 Mueller matrix polarimeter, as one of the primary polarization measurement tools, has attracted intensive interest in various fields of polarization optics. In this paper, from a novel viewpoint with more mathematical analysis of the basic configuration and the working performance of a 3 × 3 Mueller matrix polarimeter, we systematically study the relationship between Mueller matrix measurement errors with the configuration and characteristics of polarizers in the polarimeter. We figure out that, mathematically, there is an optimal orientation angle configuration (0°, 60°, and 120°) of polarizers, which inherently ensures a minimal relative measurement error in general. Moreover, we interpret the internal source of such a robust error resistance under this optimized configuration mathematically for the first time. Simulation and practical experiments show the effectiveness of our mathematical analyses, and compared to the frequently used orientation angle configuration, the average relative error is reduced by up to 32% under such an optimized configuration.
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spelling doaj.art-2b91459a32ea4ce18cae70fab7727ef12023-11-19T17:46:49ZengMDPI AGPhotonics2304-67322023-09-011010108710.3390/photonics10101087Optimal Orientation Angle Configuration of Polarizers Exists in a 3 × 3 Mueller Matrix PolarimeterHanyue Wei0Yifu Zhou1Liyong Ren2Feiya Ma3School of Physics and Information Technology, Shaanxi Normal University, Xi’an 710119, ChinaSchool of Physics and Information Technology, Shaanxi Normal University, Xi’an 710119, ChinaSchool of Physics and Information Technology, Shaanxi Normal University, Xi’an 710119, ChinaSchool of Physics and Information Technology, Shaanxi Normal University, Xi’an 710119, ChinaA 3 × 3 Mueller matrix polarimeter, as one of the primary polarization measurement tools, has attracted intensive interest in various fields of polarization optics. In this paper, from a novel viewpoint with more mathematical analysis of the basic configuration and the working performance of a 3 × 3 Mueller matrix polarimeter, we systematically study the relationship between Mueller matrix measurement errors with the configuration and characteristics of polarizers in the polarimeter. We figure out that, mathematically, there is an optimal orientation angle configuration (0°, 60°, and 120°) of polarizers, which inherently ensures a minimal relative measurement error in general. Moreover, we interpret the internal source of such a robust error resistance under this optimized configuration mathematically for the first time. Simulation and practical experiments show the effectiveness of our mathematical analyses, and compared to the frequently used orientation angle configuration, the average relative error is reduced by up to 32% under such an optimized configuration.https://www.mdpi.com/2304-6732/10/10/1087Mueller matrixperturbation analysispolarimeter
spellingShingle Hanyue Wei
Yifu Zhou
Liyong Ren
Feiya Ma
Optimal Orientation Angle Configuration of Polarizers Exists in a 3 × 3 Mueller Matrix Polarimeter
Photonics
Mueller matrix
perturbation analysis
polarimeter
title Optimal Orientation Angle Configuration of Polarizers Exists in a 3 × 3 Mueller Matrix Polarimeter
title_full Optimal Orientation Angle Configuration of Polarizers Exists in a 3 × 3 Mueller Matrix Polarimeter
title_fullStr Optimal Orientation Angle Configuration of Polarizers Exists in a 3 × 3 Mueller Matrix Polarimeter
title_full_unstemmed Optimal Orientation Angle Configuration of Polarizers Exists in a 3 × 3 Mueller Matrix Polarimeter
title_short Optimal Orientation Angle Configuration of Polarizers Exists in a 3 × 3 Mueller Matrix Polarimeter
title_sort optimal orientation angle configuration of polarizers exists in a 3 3 mueller matrix polarimeter
topic Mueller matrix
perturbation analysis
polarimeter
url https://www.mdpi.com/2304-6732/10/10/1087
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