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Proceedings Paper

Trilocally approximated strong-permittivity-fluctuation theory for nonlinear composite mediums
Author(s): Tom G. MacKay; Akhlesh Lakhtakia; Werner S. Weiglhofer
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Paper Abstract

The strong-permittivity-fluctuation theory (SPFT) is well-established in the context of the homogenisation of linear composite materials. Unlike conventional homogenisation formalisms, the SPFT takes account of coherent interactions between scattering centres at sub-wavelength length scales. A weakly nonlinear second-order SPFT, applicable to electrostrictive composite materials, has recently been developed. We present here the corresponding third-order theory, namely the trilocally approximated SPFT. The issues of nonlinear SPFT convergence and the manifestation of nonlinearity enhancement are explored by means of a numerical example. The sensitivity of the nonlinear SPFT to the choice of covariance function is discussed.

Paper Details

Date Published: 24 June 2002
PDF: 12 pages
Proc. SPIE 4806, Complex Mediums III: Beyond Linear Isotropic Dielectrics, (24 June 2002); doi: 10.1117/12.472974
Show Author Affiliations
Tom G. MacKay, Univ. of Edinburgh (United Kingdom)
Akhlesh Lakhtakia, The Pennsylvania State Univ. (United States)
Werner S. Weiglhofer, Univ. of Glasgow (United Kingdom)

Published in SPIE Proceedings Vol. 4806:
Complex Mediums III: Beyond Linear Isotropic Dielectrics
Akhlesh Lakhtakia; Graeme Dewar; Martin W. McCall, Editor(s)

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