Multidimensional joint statistics of the Stokes parameters in a polarization speckle

Wei Wang

doi:10.1364/JOSAA.455823

Multidimensional joint statistics of the Stokes parameters in a polarization speckle

Wei Wang

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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 language	English
Pages (from-to)	820-828
Number of pages	9
Journal	Journal of the Optical Society of America A
Volume	39
Issue number	5
Early online date	14 Apr 2022
DOIs	https://doi.org/10.1364/JOSAA.455823
Publication status	Published - 1 May 2022

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10.1364/JOSAA.455823

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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.",

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N2 - 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.

AB - 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.

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Multidimensional joint statistics of the Stokes parameters in a polarization speckle

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