On convergence of the extended strong-property-fluctuation theory for bianisotropic homogenized composites

TL;DR

This paper extends the strong-property-fluctuation theory to include nonzero volume particles and demonstrates its convergence for bianisotropic composites, specifically Faraday chiral media, in the long-wavelength regime.

Contribution

An extended third-order SPFT is developed to account for particle volume, with numerical validation showing convergence for bianisotropic homogenized composites.

Findings

Convergence of the extended SPFT at second-order is demonstrated.

The theory accurately predicts effective parameters for Faraday chiral media.

The approach accounts for statistical particle distribution effects.

Abstract

The strong-property-fluctuation theory (SPFT) provides a sophisticated means of estimating the effective constitutive parameters of a homogenized composite material (HCM), which takes account of the statistical distribution of the component particles. We present an extended version of the third-order SPFT in which the component particles are represented as depolarization regions of nonzero volume. Numerical results are provided for a bianisotropic homogenization scenario wherein the HCM is a Faraday chiral medium. Thereby, convergence of the extended SPFT at the second-order level of approximation is demonstrated within the long-wavelength regime.