Comptes Rendus
Effective birefringence to analyze sound transmission through a layer with subwavelength slits
Comptes Rendus. Mécanique, Volume 343 (2015) no. 12, pp. 612-621.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2015.07.006
Keywords: Metamaterial, Spoof plasmon, Homogenization, Acoustic array
Mot clés : Métamatériau, Spoof plasmon, Homogénéisation, Réseau acoustique

Agnès Maurel 1; Simon Félix 2; Jean-François Mercier 3; Abdel Ourir 1

1 Institut Langevin, CNRS, ESPCI ParisTech, 1, rue Jussieu, 75005 Paris, France
2 LAUM, CNRS, Université du Maine, avenue Olivier-Messiaen, 72085 Le Mans, France
3 Poems, CNRS, ENSTA ParisTech, INRIA, 828, boulevard des Maréchaux, 91762 Palaiseau, France
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     title = {Effective birefringence to analyze sound transmission through a layer with subwavelength slits},
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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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