随机双折射介质中Stokes参数的高阶统计性质
Higher Order Statistsics of Stokes Parameters in a Random Birefringent Medium
摘要：
提出了一种新的偏振光在随机双折射介质中传播的模型。该模型是基于沿旋转群的不可约表示的约化Stokes参数的高阶统计量的分解。我们展示了这个模型如何允许详细描述的传播，给出了分析表达式的概率密度的穆勒矩阵和斯托克斯矢量在整个传播。它还允许精确描述平均量的演变，例如偏振度。我们还将讨论这个模型如何允许减少斯托克斯参数和偏振度的高阶统计的概念的泛化。我们给出了一些说明，它可以扩展到更一般的随机介质。
英文摘要：
We present a new model for the propagation of polarized light in a random birefringent medium. This model is based on a decomposition of the higher order statistics of the reduced Stokes parameters along the irreducible representations of the rotation group. We show how this model allows a detailed description of the propagation, giving analytical expressions for the probability densities of the Mueller matrix and the Stokes vector throughout the propagation. It also allows an exact description of the evolution of averaged quantities, such as the degree of polarization. We will also discuss how this model allows a generalization of the concepts of reduced Stokes parameters and degree of polarization to higher order statistics. We give some notes on how it can be extended to more general random media.
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