Multidimensional joint statistics of the Stokes parameters in a polarization speckle

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 probadensities of these random variables. (c) 2022 Optica Publishing Group

Automated summary

A multivariate Gaussian statistics model has been applied to study the higher-order statistics of polarization speckle at two spatial or temporal points. By assuming a Gaussian distribution for the random electric field, the joint probability density functions of the Stokes parameters and parameters characterizing the polarization ellipse are obtained. The corresponding statistics of isotropic polarization speckle at two points are investigated to obtain the joint and conditional probability densities of these random variables.