dorsal/arxiv
View SchemaOn the Bergman-Milton bounds for the homogenization of dielectric composite materials
| Authors | Andrew J. Duncan, Tom G. Mackay, Akhlesh Lakhtakia |
|---|---|
| Categories | |
| ArXiv ID | physics/0512008 |
| URL | https://arxiv.org/abs/physics/0512008 |
| DOI | 10.1016/j.optcom.2006.10.056 |
| Journal | Optics Communications 271, 470-474 (2007) |
Abstract
The Bergman-Milton bounds provide limits on the effective permittivity of a composite material comprising two isotropic dielectric materials. These provide tight bounds for composites arising from many conventional materials. We reconsider the Bergman-Milton bounds in light of the recent emergence of metamaterials, in which unconventional parameter ranges for relative permittivities are encountered. Specifically, it is demonstrated that: (a) for nondissipative materials the bounds may be unlimited if the constituent materials have relative permittivities of opposite signs; (b) for weakly dissipative materials characterized by relative permittivities with real parts of opposite signs, the bounds may be exceedingly large.
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"abstract": "The Bergman-Milton bounds provide limits on the effective permittivity of a\ncomposite material comprising two isotropic dielectric materials. These provide\ntight bounds for composites arising from many conventional materials. We\nreconsider the Bergman-Milton bounds in light of the recent emergence of\nmetamaterials, in which unconventional parameter ranges for relative\npermittivities are encountered. Specifically, it is demonstrated that: (a) for\nnondissipative materials the bounds may be unlimited if the constituent\nmaterials have relative permittivities of opposite signs; (b) for weakly\ndissipative materials characterized by relative permittivities with real parts\nof opposite signs, the bounds may be exceedingly large.",
"arxiv_id": "physics/0512008",
"authors": [
"Andrew J. Duncan",
"Tom G. Mackay",
"Akhlesh Lakhtakia"
],
"categories": [
"physics.optics"
],
"doi": "10.1016/j.optcom.2006.10.056",
"journal_ref": "Optics Communications 271, 470-474 (2007)",
"title": "On the Bergman-Milton bounds for the homogenization of dielectric composite materials",
"url": "https://arxiv.org/abs/physics/0512008"
},
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