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Proceedings Paper

Homogenization of finite metallic fibers and 3D-effective permittivity tensor
Author(s): Guy Bouchitté; Christophe Bourel
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Paper Abstract

A new homogenization theory has been proposed by Bouchitte and Felbacq1 for a bounded obstacle made of periodically disposed parallel high conducting metallic fibers of finite length and very thin section. Although the resulting constitutive law is non local, a cut-off frequency effect can be evidenced when fibers become infinitely long. In this paper we present a very surprising byproduct of this model: by reproducing periodically the same kind of obstacle at small scale and after undergoing a reiterated homogenization procedure, we obtain a local effective law described by a permittivity tensor that we explicit as a function of the frequency. An important issue is that the eigenvalues of this tensor have real part changing of sign and possibly very large within some range of frequencies.

Paper Details

Date Published: 4 September 2008
PDF: 9 pages
Proc. SPIE 7029, Metamaterials: Fundamentals and Applications, 702914 (4 September 2008); doi: 10.1117/12.794935
Show Author Affiliations
Guy Bouchitté, Univ. of Sud-Toulon-Var (France)
Christophe Bourel, Univ. of Sud-Toulon-Var (France)

Published in SPIE Proceedings Vol. 7029:
Metamaterials: Fundamentals and Applications
Mikhail A. Noginov; Nikolay I. Zheludev; Allan D. Boardman; Nader Engheta, Editor(s)

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