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Effective birefringence to analyze sound transmission through a layer with subwavelength slits

Agnes Maurel 1 Simon Félix 2 Jean-François Mercier 3 Abdelwaheb Ourir 1
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : 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.
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https://hal.inria.fr/hal-01396079
Contributor : Jean-Francois Mercier Connect in order to contact the contributor
Submitted on : Sunday, November 13, 2016 - 9:12:25 PM
Last modification on : Tuesday, September 28, 2021 - 5:13:18 PM

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Agnes Maurel, Simon Félix, Jean-François Mercier, Abdelwaheb Ourir. Effective birefringence to analyze sound transmission through a layer with subwavelength slits. Comptes Rendus Mécanique, Elsevier Masson, 2015, 343 (12), ⟨10.1016/j.crme.2015.07.006⟩. ⟨hal-01396079⟩

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