Homogenization of finite metallic fibers and 3D-effective permittivity tensor

Guy Bouchitté; Christophe Bourel

doi:10.1117/12.794935

4 September 2008 Homogenization of finite metallic fibers and 3D-effective permittivity tensor

Guy Bouchitté, Christophe Bourel

Author Affiliations +

Proceedings Volume 7029, Metamaterials: Fundamentals and Applications; 702914 (2008) https://doi.org/10.1117/12.794935
Event: NanoScience + Engineering, 2008, San Diego, California, United States

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.

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Guy Bouchitté and Christophe Bourel "Homogenization of finite metallic fibers and 3D-effective permittivity tensor", Proc. SPIE 7029, Metamaterials: Fundamentals and Applications, 702914 (4 September 2008); https://doi.org/10.1117/12.794935

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