Homogenisation of isotropic, cubically nonlinear, composite mediums by the strong-permittivity-fluctuation theory: third-order considerations

Mackay, T.G., Lakhtakia, A. and Weiglhofer, W.S. (2002) Homogenisation of isotropic, cubically nonlinear, composite mediums by the strong-permittivity-fluctuation theory: third-order considerations. Optics Communications, 204, pp. 219-228.

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Abstract

The third-order strong–permittivity–fluctuation theory (SPFT) is presented for an isotropic, cubically nonlinear, composite medium, under the long-wavelength approximation. The effective permittivity of the homogenised composite medium is thereby estimated. Convergence of the SPFT at the second-order level is demonstrated with respect to both the linear and nonlinear contributions to the effective permittivity. The nonlinear SPFT is found to be relatively insensitive to the choice of covariance function. The manifestation of nonlinearity enhancement is considered up to the level of the third-order SPFT.

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:Optics Communications

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