On the low-frequency spatial dispersion in wire media

TL;DR

This paper provides a theoretical analysis of low-frequency spatial dispersion in wire media, deriving explicit dispersion equations and discussing dielectric permittivity, validated through comparison with existing numerical data.

Contribution

It introduces an analytical local field approach to derive explicit dispersion equations for wire media with orthogonal wire arrays, including dielectric effects.

Findings

Explicit dispersion equations for wire media are derived.

Theoretical results are validated against numerical data.

Discussion on incorporating dielectric permittivity into the model.

Abstract

The work is dedicated to the theoretic analysis of wire media, i.e. lattices of perfectly conducting wires comprised of two or three doubly periodic arrays of parallel wires which are orthogonal to one another. An analytical method based on local field approach is used. The explicit dispersion equations are presented and studied. A possibility to introduce a dielectric permittivity is discussed. The theory is validated by comparison with the numerical data available in the literature.