Eigenvalue calibration methods for polarimetry

被引:35
|
作者
Macias-Romero, C. [1 ]
Toeroek, P. [1 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, London SW7 2BZ, England
来源
JOURNAL OF THE EUROPEAN OPTICAL SOCIETY-RAPID PUBLICATIONS | 2012年 / 7卷
基金
英国工程与自然科学研究理事会;
关键词
diffraction integral; partial coherence; Hopkins' 3-circle integrals; correlation; Zernike circle polynomials; Wigner coefficients; 4-DETECTOR PHOTOPOLARIMETER; SYLVESTER EQUATION; MATRIX; OPTIMIZATION; PRODUCTS; SYSTEMS;
D O I
10.2971/jeos.2012.12004
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Complex polarisation sensitive systems such as imaging Mueller matrix polarimeters are commonly calibrated using the eigenvalue calibration method. In this paper we present an extensive review of the method and an existing variant. We also introduce two more variants of the method to calibrate imaging polarimeters that use high numerical aperture optics. The calibration methods are tested using a Mueller matrix confocal microscope of high numerical aperture, and the effect of the pinhole size on the polarisation is also assessed experimentally. [DOI: http://dx.doi.org/10.2971/jeos.2012.12004]
引用
收藏
页数:6
相关论文
共 50 条
  • [1] Accurate and robust calibration method for simultaneous Stokes polarimetry
    Li, Jiajin
    Liu, Hongyuan
    Zheng, Yi
    Lei, Junqiu
    Zhao, Qianhao
    Xiong, Zhihang
    Liao, Ran
    Ma, Hui
    MEASUREMENT, 2023, 223
  • [2] Preconditioned Iterative Methods for Eigenvalue Counts
    Vecharynski, Eugene
    Yang, Chao
    EIGENVALUE PROBLEMS: ALGORITHMS, SOFTWARE AND APPLICATIONS IN PETASCALE COMPUTING (EPASA 2015), 2017, 117 : 107 - 123
  • [3] Approximate methods for stochastic eigenvalue problems
    Hakula, H.
    Kaarnioja, V.
    Laaksonen, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 267 : 664 - 681
  • [4] Eigenvalue calibration method for 3 x 3 Mueller polarimeters
    Qi, Ji
    Elson, Daniel S.
    Stoyanov, Danail
    OPTICS LETTERS, 2019, 44 (09) : 2362 - 2365
  • [5] Spatially Addressable Polarimetric Calibration of Reflective-Type Spatial Light Modulator Using Mueller-Stokes Polarimetry
    Tiwari, Vipin
    Pandey, Yukti
    Bisht, Nandan S.
    FRONTIERS IN PHYSICS, 2021, 9
  • [6] Inexact Methods for Symmetric Stochastic Eigenvalue Problems
    Lee, Kookjin
    Sousedik, Bedrich
    SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 2018, 6 (04): : 1744 - 1776
  • [7] Generalized eigenvalue problems with specified eigenvalues
    Kressner, Daniel
    Mengi, Emre
    Nakic, Ivica
    Truhar, Ninoslav
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2014, 34 (02) : 480 - 501
  • [8] Eigenvalue Signal Processing for Weather Radar Polarimetry: Removing the Bias Induced by Antenna Coherent Cross-Channel Coupling
    Galletti, Michele
    Zrnic, Dusan S.
    Gekat, Frank
    Goelz, Peter
    IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2014, 52 (12): : 7695 - 7707
  • [9] Regularized Normalization Methods for Solving Linear and Nonlinear Eigenvalue Problems
    Liu, Chein-Shan
    Kuo, Chung-Lun
    Chang, Chih-Wen
    MATHEMATICS, 2023, 11 (18)
  • [10] BARZILAI-BORWEIN-LIKE METHODS FOR THE EXTREME EIGENVALUE PROBLEM
    Gao, Huan
    Dai, Yu-Hong
    Tong, Xiao-Jiao
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2015, 11 (03) : 999 - 1019