Pseudo-Hermiticity and Electromagnetic Wave Propagation in Dispersive Media

TL;DR

This paper extends the concept of pseudo-Hermiticity to dispersive media in electromagnetic wave propagation, deriving explicit solutions using WKB approximation and analyzing the effects of inhomogeneity and dispersion.

Contribution

It introduces an extension of pseudo-Hermitian operator analysis to stationary dispersive media and provides explicit WKB-based solutions for electromagnetic waves in such media.

Findings

Derived explicit expressions for wave solutions in dispersive media

Analyzed the combined effects of inhomogeneity and dispersion on wave propagation

Extended pseudo-Hermitian framework to new classes of media

Abstract

Pseudo-Hermitian operators appear in the solution of Maxwell's equations for stationary non-dispersive media with arbitrary (space-dependent) permittivity and permeability tensors. We offer an extension of the results in this direction to certain stationary dispersive media. In particular, we use the WKB approximation to derive an explicit expression for the planar time-harmonic solutions of Maxwell's equations in an inhomogeneous dispersive medium and study the combined affect of inhomogeneity and dispersion.