Trilocally approximated strong-permittivity-fluctuation theory for nonlinear composite mediums

Tom G. MacKay; Akhlesh Lakhtakia; Werner S. Weiglhofer

doi:10.1117/12.472974

24 June 2002 Trilocally approximated strong-permittivity-fluctuation theory for nonlinear composite mediums

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

Proceedings Volume 4806, Complex Mediums III: Beyond Linear Isotropic Dielectrics; (2002) https://doi.org/10.1117/12.472974
Event: International Symposium on Optical Science and Technology, 2002, Seattle, WA, United States

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.

Citation Download Citation

Tom G. MacKay, Akhlesh Lakhtakia, and Werner S. Weiglhofer "Trilocally approximated strong-permittivity-fluctuation theory for nonlinear composite mediums", Proc. SPIE 4806, Complex Mediums III: Beyond Linear Isotropic Dielectrics, (24 June 2002); https://doi.org/10.1117/12.472974

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