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

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

Research output: Contribution to journalArticle

8 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)455-479
Number of pages25
JournalElectromagnetics
Volume23
Issue number6
DOIs
StatePublished - Dec 1 2003

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fluctuation theory
Coherent scattering
composite materials
Composite materials
Statistics
homogenizing
coherent scattering
nonlinearity
statistics
expansion
augmentation

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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The strong-property-fluctuation theory for cubically nonlinear, isotropic chiral composite mediums. / Mackay, Tom G.; Lakhtakia, Akhlesh; Weiglhofer, Werner S.

In: Electromagnetics, Vol. 23, No. 6, 01.12.2003, p. 455-479.

Research output: Contribution to journalArticle

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