[Étude de la transmission du son par une lame perforée de trous sub-longueur d'onde]
Nous analysons les spectres de transmission par une lame rigide perforée périodiquement de trous sub-longueur d'onde. Pour des longueurs d'onde comparables ou plus grandes que l'espacement des perforations, les spectres de transmission sont revisités en termes de transmission par une lame équivalente biréfringente. Nous montrons que les résonances de Fano se comprennent au vu des relations de dispersion d'ondes guidées par la couche biréfringente, similaires aux spoof plasmons dans les réseaux en réflexion. Ces relations de dispersion sont obtenues en étendant l'homogénéisation aux ondes évanescentes excitées en champ proche dans le problème réel.
We analyze the transmission of sound through a sound hard film or layer with periodic subwavelength slits. For wavelength comparable to or larger than the slit spacing, the transmission spectra are revisited in terms of the transmission through an equivalent birefringent layer. It is shown that the Fano-type resonances can be understood by means of the dispersion relations of guided waves within the birefringent layer in the homogenized problem, equivalent to spoof plasmons for gratings. This is done by extending the homogenization to the evanescent waves being excited in the near field of the actual perforated layer.
Accepté le :
Publié le :
Mot clés : Métamatériau, Spoof plasmon, Homogénéisation, Réseau acoustique
@article{CRMECA_2015__343_12_612_0,
author = {Agn\`es Maurel and Simon F\'elix and Jean-Fran\c{c}ois Mercier and Abdel Ourir},
title = {Effective birefringence to analyze sound transmission through a layer with subwavelength slits},
journal = {Comptes Rendus. M\'ecanique},
pages = {612--621},
publisher = {Elsevier},
volume = {343},
number = {12},
year = {2015},
doi = {10.1016/j.crme.2015.07.006},
language = {en},
}
TY - JOUR AU - Agnès Maurel AU - Simon Félix AU - Jean-François Mercier AU - Abdel Ourir TI - Effective birefringence to analyze sound transmission through a layer with subwavelength slits JO - Comptes Rendus. Mécanique PY - 2015 SP - 612 EP - 621 VL - 343 IS - 12 PB - Elsevier DO - 10.1016/j.crme.2015.07.006 LA - en ID - CRMECA_2015__343_12_612_0 ER -
%0 Journal Article %A Agnès Maurel %A Simon Félix %A Jean-François Mercier %A Abdel Ourir %T Effective birefringence to analyze sound transmission through a layer with subwavelength slits %J Comptes Rendus. Mécanique %D 2015 %P 612-621 %V 343 %N 12 %I Elsevier %R 10.1016/j.crme.2015.07.006 %G en %F CRMECA_2015__343_12_612_0
Agnès Maurel; Simon Félix; Jean-François Mercier; Abdel Ourir. Effective birefringence to analyze sound transmission through a layer with subwavelength slits. Comptes Rendus. Mécanique, Volume 343 (2015) no. 12, pp. 612-621. doi : 10.1016/j.crme.2015.07.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.07.006/
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