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Multiscale Nanorod Metamaterials and Realizable Permittivity Tensors

Published online by Cambridge University Press:  20 August 2015

G. Bouchitté  and
C. Bourel
G. Bouchitté*
Affiliation:
IMATH, University of Sud-Toulon-Var, 83957 La Garde cedex, France
C. Bourel*
Affiliation:
IMATH, University of Sud-Toulon-Var, 83957 La Garde cedex, France
*
Corresponding author.Email:bouchitte@univ-tln.fr
Email address:bourel@univ-tln.fr
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Abstract

Our aim is to evidence new 3D composite diffractive structures whose effective permittivity tensor can exhibit very large positive or negative real eigenvalues. We use a reiterated homogenization procedure in which the first step consists in considering a bounded obstacle made of periodically disposed parallel high conducting metallic fibers of finite length and very thin cross section. As shown in [2], the resulting constitutive law is non-local. Then by reproducing periodically the same kind of obstacle at small scale, we obtain a local effective law described by a permittivity tensor that we make explicit as a function of the frequency. Due to internal resonances, the eigenvalues of this tensor have real part that change of sign and are possibly very large within some range of frequencies. Numerical simulations are shown.

Keywords

35B2735Q6035Q6178M3578M40Homogenizationphotonic crystalsmetamaterialsmicro-resonatorseffective tensorsnon local effects
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 2 , February 2012 , pp. 489 - 507
Copyright
Copyright © Global Science Press Limited 2012

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