dorsal/arxiv
View SchemaA limitation of the Bruggeman formalism for homogenization
| Authors | T. G. Mackay, A. Lakhtakia |
|---|---|
| Categories | |
| ArXiv ID | physics/0402018 |
| URL | https://arxiv.org/abs/physics/0402018 |
| DOI | 10.1016/j.optcom.2004.02.007 |
| Journal | Optics Communications 234, 35-42 (2004) |
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 not 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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"abstract": "The Bruggeman formalism provides an estimate of the effective permittivity of\na particulate composite medium comprising two component mediums. The Bruggeman\nestimate is required to lie within the Wiener bounds and the Hashin-Shtrikman\nbounds. Considering the homogenization of weakly dissipative component mediums\ncharacterized by relative permittivities with real parts of opposite signs, we\nshow that the Bruggeman estimate may not be not physically reasonable when the\ncomponent mediums are weakly dissipative; furthermore, both the Wiener bounds\nand the Hashin-Shtrikman bounds exhibit strong resonances.",
"arxiv_id": "physics/0402018",
"authors": [
"T. G. Mackay",
"A. Lakhtakia"
],
"categories": [
"physics.optics",
"physics.class-ph"
],
"doi": "10.1016/j.optcom.2004.02.007",
"journal_ref": "Optics Communications 234, 35-42 (2004)",
"title": "A limitation of the Bruggeman formalism for homogenization",
"url": "https://arxiv.org/abs/physics/0402018"
},
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