Frequency-dependent impedance and surface waves on the boundary of a stratified dielectric medium

TL;DR

This paper investigates surface wave propagation along the boundary of a stratified dielectric medium, deriving dispersion relations and conditions for wave existence based on frequency, loss, and wavenumber.

Contribution

It introduces a generalized boundary condition extending the classical Leontovich condition for dielectric interfaces, analyzing surface wave support in stratified Lorentz materials.

Findings

Derived dispersion relation for interface waves

Identified conditions for surface wave existence based on parameters

Extended classical boundary conditions to stratified media

Abstract

We analyse waves that propagate along the interface between a dielectric half-space and a half-space filled with a Lorentz material. We show that the corresponding interface condition leads to a generalisation of the classical Leontovich condition on the boundary of a dielectric half-space. We study when this condition supports propagation of (dispersive) surface waves. We derive the related dispersion relation for waves propagating along the boundary of a stratified half-space and determine the relationship between the loss parameter, frequency and wavenumber for which interfacial waves exist.