Volume 11, Issue 2
Multiscale Nanorod Metamaterials and Realizable Permittivity Tensors

G. Bouchitté & C. Bourel

Commun. Comput. Phys., 11 (2012), pp. 489-507.

Published online: 2012-12

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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. 

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@Article{CiCP-11-489, author = {}, title = {Multiscale Nanorod Metamaterials and Realizable Permittivity Tensors}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {2}, pages = {489--507}, 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. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.171209.110810s}, url = {http://global-sci.org/intro/article_detail/cicp/7374.html} }
TY - JOUR T1 - Multiscale Nanorod Metamaterials and Realizable Permittivity Tensors JO - Communications in Computational Physics VL - 2 SP - 489 EP - 507 PY - 2012 DA - 2012/12 SN - 11 DO - http://doi.org/10.4208/cicp.171209.110810s UR - https://global-sci.org/intro/article_detail/cicp/7374.html KW - AB -

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. 

G. Bouchitté & C. Bourel. (2020). Multiscale Nanorod Metamaterials and Realizable Permittivity Tensors. Communications in Computational Physics. 11 (2). 489-507. doi:10.4208/cicp.171209.110810s
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