Spatially Dispersive Inhomogeneous Electromagnetic Media with Periodic Structure

TL;DR

This paper investigates electromagnetic media with periodic inhomogeneity and spatial dispersion, deriving approximate solutions for Floquet modes, revealing the emergence of coupled modes in wire media.

Contribution

It introduces a method to analyze spatially dispersive inhomogeneous media with periodic structures, highlighting the existence of coupled modes, which is a novel insight.

Findings

Derived approximate solutions for Floquet modes in inhomogeneous media.

Identified the emergence of coupled modes in spatially dispersive wire media.

Extended understanding of wave behavior in complex electromagnetic materials.

Abstract

Spatially dispersive (also known as non-local) electromagnetic media are considered where the parameters defining the permittivity relation vary periodically. Maxwell's equations give rise to a difference equation corresponding to the Floquet modes. A complete set of approximate solutions is calculated which are valid when the inhomogeneity is small. This is applied to inhomogeneous wire media. A new feature arises when considering spatially dispersive media, that is the existence of coupled modes.