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