On Convergence of the Extended Strong-Property-Fluctuation Theory for Bianisotropic Homogenized Composites

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.

Keywords:

• depolarization region
• Faraday chiral medium
• Bruggeman formalism
• long-wavelength regime

Acknowledgment

Jiajia Cui is supported by a Scottish Power–EPSRC Dorothy Hodgkin Postgraduate Award. TGM is supported by a Royal Society of Edinburgh/Scottish Executive Support Research Fellowship.

Notes

¹This applies to the second-order and third-order SPFT calculations; L does not feature in the zeroth-order SPFT.