Homogenisation of similarly oriented, metallic, ellipsoidal inclusions using the bilocally approximated strong-property-fluctuation theory

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

doi:10.1016/S0030-4018(01)01433-X

Homogenisation of similarly oriented, metallic, ellipsoidal inclusions using the bilocally approximated strong-property-fluctuation theory

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

Engineering Science and Mechanics

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

The homogenisation of a two-phase composite medium comprising metallic, ellipsoidal inclusions embedded in a non-conducting host medium is carried out via the bilocally approximated strong-property-fluctuation theory. Comparison is made against the results obtained via the Bruggeman formalism. The correlated actions of neighbouring inclusions result in a considerable mitigation of the percolation threshold anisotropy due to inclusion shape alone. Furthermore, the choice of covariance function may only have a secondary influence in relation to the effects of the correlation length.

Original language	English (US)
Pages (from-to)	89-95
Number of pages	7
Journal	Optics Communications
Volume	197
Issue number	1-3
DOIs	https://doi.org/10.1016/S0030-4018(01)01433-X
State	Published - Sep 15 2001

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Physical and Theoretical Chemistry
Electrical and Electronic Engineering

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10.1016/S0030-4018(01)01433-X

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abstract = "The homogenisation of a two-phase composite medium comprising metallic, ellipsoidal inclusions embedded in a non-conducting host medium is carried out via the bilocally approximated strong-property-fluctuation theory. Comparison is made against the results obtained via the Bruggeman formalism. The correlated actions of neighbouring inclusions result in a considerable mitigation of the percolation threshold anisotropy due to inclusion shape alone. Furthermore, the choice of covariance function may only have a secondary influence in relation to the effects of the correlation length.",

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AB - The homogenisation of a two-phase composite medium comprising metallic, ellipsoidal inclusions embedded in a non-conducting host medium is carried out via the bilocally approximated strong-property-fluctuation theory. Comparison is made against the results obtained via the Bruggeman formalism. The correlated actions of neighbouring inclusions result in a considerable mitigation of the percolation threshold anisotropy due to inclusion shape alone. Furthermore, the choice of covariance function may only have a secondary influence in relation to the effects of the correlation length.

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Homogenisation of similarly oriented, metallic, ellipsoidal inclusions using the bilocally approximated strong-property-fluctuation theory

Abstract

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