Strong-property-fluctuation theory for homogenization of bianisotropic composites: Formulation

Tom G. Mackay, Akhlesh Lakhtakia, Werner S. Weiglhofer

Research output: Contribution to journalArticlepeer-review

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Abstract

The strong-property-fluctuation theory is developed for the homogenization of the linear dielectric, magnetic, and magnetoelectric properties of a two-constituent bianisotropic composite. The notion of a bianisotropic comparison medium (BCM) is introduced to serve as a springboard for the Dyson equation satisfied by the ensemble-averaged electromagnetic field. With the constitutive properties of the BCM serving as the zeroth-order solution of the Dyson equation, the first-order correction, known as the bilocal approximation, is obtained. Wave propagation in the composite can be described in this manner by a nonlocal effective medium containing information about the spatial correlations of the constitutive properties. For scales larger than the correlation length, the nonlocality vanishes and a local effective medium emerges. Analytical results for the local effective constitutive properties are presented after assuming a spherical particulate topology for the constituent mediums. Illustrative numerical results are provided.

Original languageEnglish (US)
Pages (from-to)6052-6064
Number of pages13
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number5
DOIs
StatePublished - Jan 1 2000

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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