Finite-difference frequency-domain method for the extraction of effective parameters of metamaterials

TL;DR

This paper presents a stable and accurate finite-difference frequency-domain method for extracting effective parameters of metamaterials using a nonlocal homogenization approach, enabling detailed characterization of complex structured materials.

Contribution

It introduces a numerical implementation of a nonlocal homogenization method using finite differences in the frequency domain, applied to metamaterials with dielectric and metallic particles.

Findings

The method is stable and robust.

It yields highly accurate effective parameters.

Successfully characterizes dielectric and metallic structured materials.

Abstract

Here, we report a numerical implementation of the nonlocal homogenization approach recently proposed in [M. Silveirinha, Phys. Rev. B 75, 115104 (2007)], using the finite difference frequency-domain method to discretize the Maxwell-Equations. We apply the developed formalism to characterize the nonlocal dielectric function of several structured materials formed by dielectric and metallic particles, and in particular, we extract the local permittivity, permeability and magnetoelectric coupling parameters when these are meaningful. It is shown that the finite differences frequency domain implementation of the homogenization method is stable and robust, yielding very accurate results.