[Homogénéisation de diélectriques près des résonances et magnétisme artificiel.]
L'homogénéisation de structures diélectriques périodiques en régime harmonique fait apparaitre en général un tenseur de permittivité effective . Il a été remarqué par Bouchitté et Felbacq [Waves Random Media 7 (1997) 245–256] que dans le cas de forts contrastes (fibres de grande conductivité), ce tenseur peut dépendre de la fréquence ω. Dans cette note, nous mettons en évidence un effet nouveau dû à des micro-résonances et qui conduit, malgré l'absence initiale de propriétés magnétiques (i.e. ), à une perméabilité effective qui peut éventuellement être négative.
The homogenization of periodic dielectric structures in harmonic regime usually leads to an effective permittivity tensor . It has been observed by Bouchitté and Felbacq [Waves Random Media 7 (1997) 245–256], that in the high contrast case (high conductivity fibers), this tensor depends on the angular frequency ω. In this Note, we enlight a new effect induced by microscopic resonances which leads in parallel to a possibly negative effective permeability (although the original medium is assumed to be nonmagnetic i.e. ).
Publié le :
@article{CRMATH_2004__339_5_377_0,
author = {Bouchitt\'e, Guy and Felbacq, Didier},
title = {Homogenization near resonances and artificial magnetism from dielectrics},
journal = {Comptes Rendus. Math\'ematique},
pages = {377--382},
publisher = {Elsevier},
volume = {339},
number = {5},
year = {2004},
doi = {10.1016/j.crma.2004.06.018},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.06.018/}
}
TY - JOUR AU - Bouchitté, Guy AU - Felbacq, Didier TI - Homogenization near resonances and artificial magnetism from dielectrics JO - Comptes Rendus. Mathématique PY - 2004 SP - 377 EP - 382 VL - 339 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.06.018/ DO - 10.1016/j.crma.2004.06.018 LA - en ID - CRMATH_2004__339_5_377_0 ER -
%0 Journal Article %A Bouchitté, Guy %A Felbacq, Didier %T Homogenization near resonances and artificial magnetism from dielectrics %J Comptes Rendus. Mathématique %D 2004 %P 377-382 %V 339 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.06.018/ %R 10.1016/j.crma.2004.06.018 %G en %F CRMATH_2004__339_5_377_0
Bouchitté, Guy; Felbacq, Didier. Homogenization near resonances and artificial magnetism from dielectrics. Comptes Rendus. Mathématique, Tome 339 (2004) no. 5, pp. 377-382. doi : 10.1016/j.crma.2004.06.018. http://www.numdam.org/articles/10.1016/j.crma.2004.06.018/
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