Mackay, T.G., Lakhtakia, A. and Weiglhofer, W.S. (2003) The strong-property-fluctuation theory for cubically nonlinear, isotropic chiral composite mediums. Electromagnetics, 23, pp. 455-479. (doi: 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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | UNSPECIFIED |
| Authors: | Mackay, T.G., Lakhtakia, A., and Weiglhofer, W.S. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Electromagnetics |
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