无序介质中偏振光的相互相干：双频法的扩展
Mutual Coherence of Polarized Light in Disordered Media: Two-Frequency Method Extended
摘要：
本文研究了一般随机双各向异性介质中电磁波的两点相关问题，介质的本构张量是复厄米特正定或负定矩阵。介绍了极化波双频Wigner分布（2f-WD）的一种简化形式，并从麦克斯韦方程组导出了封闭形式的Wigner-Moyal方程。从Wigner-Moyal方程出发，采用多尺度展开方法，导出了背景任意变化的弱无序区中，相应的$2\times 2$相干矩阵的双频辐射转移（2f-RT）方程.在双折射介质中，相干矩阵变为标量，而2f-RT方程由于不存在退偏而采取标量形式。对空间各向异性介质提出了一种傍轴近似。各向同性，手征，单轴和gyrotropic介质的例子进行了讨论。
英文摘要：
The paper addresses the two-point correlations of electromagnetic waves in general random, bi-anisotropic media whose constitutive tensors are complex Hermitian, positive- or negative-definite matrices. A simplified version of the two-frequency Wigner distribution (2f-WD) for polarized waves is introduced and the closed form Wigner-Moyal equation is derived from the Maxwell equations. In the weak-disorder regime with an arbitrarily varying background the two-frequency radiative transfer (2f-RT) equations for the associated $2\times 2$ coherence matrices are derived from the Wigner-Moyal equation by using the multiple scale expansion. In birefringent media, the coherence matrix becomes a scalar and the 2f-RT equations take the scalar form due to the absence of depolarization. A paraxial approximation is developed for spatialy anisotropic media. Examples of isotropic, chiral, uniaxial and gyrotropic media are discussed.
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