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

Tom G. Mackay, Akhlesh Lakhtakia, and Werner S. Weiglhofer
Phys. Rev. E 62, 6052 – Published 1 November 2000; Erratum Phys. Rev. E 63, 049901 (2001)
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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.

  • Received 5 June 2000

DOI:https://doi.org/10.1103/PhysRevE.62.6052

©2000 American Physical Society

Erratum

Authors & Affiliations

Tom G. Mackay*

  • Department of Mathematics, University of Glasgow, Glasgow G12 8QW, United Kingdom

Akhlesh Lakhtakia

  • Computational and Theoretical Materials Sciences Group (CATMAS), Department of Engineering Science and Mechanics, 212 Earth–Engineering Sciences Building, Pennsylvania State University, University Park, Pennsylvania 16802-6812

Werner S. Weiglhofer

  • Department of Mathematics, University of Glasgow, Glasgow G12 8QW, United Kingdom

  • *FAX: +44 141 330 4111. Email address: tm@maths.gla.ac.uk
  • FAX: +1 814 863 7967. Email address: axl4@psu.edu
  • FAX: +44 141 330 4111. Email address: wsw@maths.gla.ac.uk

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Issue

Vol. 62, Iss. 5 — November 2000

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