A limitation of the Bruggeman formalism for homogenization

Tom G. Mackay; Akhlesh Lakhtakia

doi:10.1016/j.optcom.2004.02.007

A limitation of the Bruggeman formalism for homogenization

Tom G. Mackay, Akhlesh Lakhtakia

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

73 Scopus citations

Abstract

The Bruggeman formalism provides an estimate of the effective permittivity of a particulate composite medium comprising two component mediums. The Bruggeman estimate is required to lie within the Wiener bounds and the Hashin-Shtrikman bounds. Considering the homogenization of weakly dissipative component mediums characterized by relative permittivities with real parts of opposite signs, we show that the Bruggeman estimate may not be physically reasonable when the component mediums are weakly dissipative; furthermore, both the Wiener bounds and the Hashin-Shtrikman bounds exhibit strong resonances.

Original language	English (US)
Pages (from-to)	35-42
Number of pages	8
Journal	Optics Communications
Volume	234
Issue number	1-6
DOIs	https://doi.org/10.1016/j.optcom.2004.02.007
State	Published - Apr 15 2004

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/j.optcom.2004.02.007

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AB - The Bruggeman formalism provides an estimate of the effective permittivity of a particulate composite medium comprising two component mediums. The Bruggeman estimate is required to lie within the Wiener bounds and the Hashin-Shtrikman bounds. Considering the homogenization of weakly dissipative component mediums characterized by relative permittivities with real parts of opposite signs, we show that the Bruggeman estimate may not be physically reasonable when the component mediums are weakly dissipative; furthermore, both the Wiener bounds and the Hashin-Shtrikman bounds exhibit strong resonances.

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JO - Optics Communications

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A limitation of the Bruggeman formalism for homogenization

Abstract

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