Abstract

A one-dimensional anisotropic photonic crystal is considered. A mathematical model is constructed that separates an elliptical polarization wave into TE- and TM-type waves. The transformation matrix is found for a periodic structure with an arbitrary number of layers in a period in the form of a block diagonal matrix. The transformation matrix is found for an arbitrary number of periods of the structure with anisotropic layers. Dispersion relations are found that determine the boundaries of the allowed zones.

中文翻译：

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各向异性光子晶体中的椭圆偏振波分离为TE和TM波的数学模型

摘要

考虑一维各向异性光子晶体。建立了将椭圆偏振波分为TE型和TM型波的数学模型。对于块周期对角矩阵形式的周期中具有任意层数的周期结构，可以找到变换矩阵。找到具有各向异性层的结构的任意数量的周期的变换矩阵。发现色散关系确定了允许区域的边界。