Multidimensional joint statistics of the Stokes parameters in a polarization speckle

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Abstract

A model of multivariate Gaussian statistics has been applied to study the higher-order statistics of the polarization speckle at two spatial or temporal points. Based on the Gaussian assumption for the random electric field, the joint probability density functions of the Stokes parameters and the parameters characterizing the polarization ellipse for the produced random polarization fields at two points are obtained. Subsequently, the corresponding statistics of an isotropic polarization speckle at two points have been investigated to obtain the joint and conditional probability densities of these random variables.
Original languageEnglish
Pages (from-to)820-828
Number of pages9
JournalJournal of the Optical Society of America A
Volume39
Issue number5
Early online date14 Apr 2022
DOIs
Publication statusPublished - 1 May 2022

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