24 June 2002 Trilocally approximated strong-permittivity-fluctuation theory for nonlinear composite mediums
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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.
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Tom G. MacKay, Tom G. MacKay, Akhlesh Lakhtakia, Akhlesh Lakhtakia, Werner S. Weiglhofer, 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); doi: 10.1117/12.472974; https://doi.org/10.1117/12.472974

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