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

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.

Citation Download Citation

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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