Invariant imbedding theory of wave propagation in arbitrarily inhomogeneous stratified bi-isotropic media

TL;DR

This paper introduces a generalized invariant imbedding method to accurately analyze wave propagation in complex, inhomogeneous bi-isotropic media, revealing new phenomena like surface wave excitation and mode conversion for both s and p waves.

Contribution

It develops a novel, efficient approach for solving coupled wave equations in arbitrarily-inhomogeneous bi-isotropic media, extending the invariant imbedding method.

Findings

Surface wave excitation occurs for both s and p waves.

Mode conversion of electromagnetic waves into plasma oscillations is demonstrated.

The method is validated through multiple example scenarios.

Abstract

Bi-isotropic media, which include isotropic chiral media and Tellegen media as special cases, are the most general form of linear isotropic media where the electric displacement and the magnetic induction are related to both the electric field and the magnetic intensity. In inhomogeneous bi-isotropic media, electromagnetic waves of two different polarizations are coupled to each other. In this paper, we develop a generalized version of the invariant imbedding method for the study of wave propagation in arbitrarily-inhomogeneous stratified bi-isotropic media, which can be used to solve the coupled wave propagation problem accurately and efficiently. We verify the validity and usefulness of the method by applying it to several examples, including the wave propagation in a uniform chiral slab, the surface wave excitation in a bilayer system made of a layer of Tellegen medium and a metal layer, and the mode conversion of transverse electromagnetic waves into longitudinal plasma oscillations in inhomogeneous Tellegen media. In contrast to the case of ordinary isotropic media, we find that the surface wave excitation and the mode conversion occur for both s and p waves in bi-isotropic media.