Spectral properties of the operator describing EM wave propagation in anisotropic dielectric guiding structures with arbitrary transversal inhomogeneity

摘要

A brief mathematical characterization and resulting physical interpretation of EM wave propagation in anisotropic waveguides is presented. It is based on spectral and functional analysis of the operator acting in a, suitably chosen Hilbert space. Analytical form of this operator is derived from Maxwell's equations reduced to the eigenproblem for unknown transversal magnetic field components of the guided mode and its propagation constant. Numerical examples demonstrating analyzed features of the guided modes will be shown. A new convenient normalization of physical parameters of anisotropic waveguides with nonaligned optical axes is also proposed.