The statistical properties of the polarization speckle produced by a random polarization phasor sum plus a constant polarization phasor are studied. Based on the Gaussian assumption for the random electric field, the three-dimensional joint probability density functions of the Stokes parameters and the parameters characterizing the polarization ellipse for the produced random polarization fields are obtained. Subsequently, the statistics of an isotropic polarization speckle with a coherent polarization background have been investigated. The joint and marginal probability densities of these random variables are given to study the effect of the constant polarization background on the statistics of random polarization fields.

中文翻译：

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恒定偏振相量加上随机偏振相量总和产生的偏振斑点统计量

研究了由随机偏振相量和加上恒定偏振相量产生的偏振斑点的统计特性。基于随机电场的高斯假设，获得了斯托克斯参数的三维联合概率密度函数和产生的随机极化场的表征极化椭圆的参数。随后，研究了具有相干极化背景的各向同性极化斑点的统计量。给出了这些随机变量的联合和边际概率密度，以研究恒定极化背景对随机极化场统计的影响。