The strong-property-fluctuation theory for cubically nonlinear, isotropic chiral composite mediums

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

doi:10.1080/02726340390203234

The strong-property-fluctuation theory for cubically nonlinear, isotropic chiral composite mediums

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

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9 Scopus citations

Abstract

The strong-property-fluctuation theory (SPFT) has gained prominence in the homogenization of linear composite mediums. Through accommodating the distributional statistics of the component phases, the SPFT takes account of coherent scattering interactions at subwavelength length scales and thereby represents a significant improvement over conventional homogenization approaches. We formulate the SPFT here for cubically nonlinear, isotropic chiral composite mediums. The bilocally and trilocally approximated SPFT (i.e., the second- and third-order SPFT, respectively) are developed from the corresponding linear theories, using Maclaurin expansions to accommodate nonlinear behavior. By means of a numerical example, convergence is established at the level of the bilocally approximated SPFT, with respect to both linear and nonlinear properties. The phenomenon of nonlinearity enhancement is explored.

Original language	English (US)
Pages (from-to)	455-479
Number of pages	25
Journal	Electromagnetics
Volume	23
Issue number	6
DOIs	https://doi.org/10.1080/02726340390203234
State	Published - Dec 1 2003

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.1080/02726340390203234

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abstract = "The strong-property-fluctuation theory (SPFT) has gained prominence in the homogenization of linear composite mediums. Through accommodating the distributional statistics of the component phases, the SPFT takes account of coherent scattering interactions at subwavelength length scales and thereby represents a significant improvement over conventional homogenization approaches. We formulate the SPFT here for cubically nonlinear, isotropic chiral composite mediums. The bilocally and trilocally approximated SPFT (i.e., the second- and third-order SPFT, respectively) are developed from the corresponding linear theories, using Maclaurin expansions to accommodate nonlinear behavior. By means of a numerical example, convergence is established at the level of the bilocally approximated SPFT, with respect to both linear and nonlinear properties. The phenomenon of nonlinearity enhancement is explored.",

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AU - Weiglhofer, Werner S.

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AB - The strong-property-fluctuation theory (SPFT) has gained prominence in the homogenization of linear composite mediums. Through accommodating the distributional statistics of the component phases, the SPFT takes account of coherent scattering interactions at subwavelength length scales and thereby represents a significant improvement over conventional homogenization approaches. We formulate the SPFT here for cubically nonlinear, isotropic chiral composite mediums. The bilocally and trilocally approximated SPFT (i.e., the second- and third-order SPFT, respectively) are developed from the corresponding linear theories, using Maclaurin expansions to accommodate nonlinear behavior. By means of a numerical example, convergence is established at the level of the bilocally approximated SPFT, with respect to both linear and nonlinear properties. The phenomenon of nonlinearity enhancement is explored.

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The strong-property-fluctuation theory for cubically nonlinear, isotropic chiral composite mediums

Abstract

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