Mathematical Model for the Separation of an Elliptically Polarized Wave in Anisotropic Photonic Crystals into TE- and TM- Waves1

摘要

A one-dimensional anisotropic photonic crystal is considered. A mathematical model is constructed that separates an elliptical polarization wave intoTE- andTM-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.