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Transmission of acoustic waves through 2D phononic crystal: visco-thermal and multiple scattering effects

Published online by Cambridge University Press:  16 January 2009

A. Duclos ,
D. Lafarge  and
V. Pagneux
A. Duclos*
Affiliation:
Laboratoire d'Acoustique de l'Université du Maine, UMR-CNRS 6613, Université du Maine, Av. Olivier Messiaen, 72085 Le Mans Cedex 9, France
D. Lafarge
Affiliation:
Laboratoire d'Acoustique de l'Université du Maine, UMR-CNRS 6613, Université du Maine, Av. Olivier Messiaen, 72085 Le Mans Cedex 9, France
V. Pagneux
Affiliation:
Laboratoire d'Acoustique de l'Université du Maine, UMR-CNRS 6613, Université du Maine, Av. Olivier Messiaen, 72085 Le Mans Cedex 9, France
*
[email protected]
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Abstract

In this paper, we are interested in the transition between regimes where either visco-thermal or multiple scattering effects dominate for the propagation of acoustic waves through a 2D regular square array of rigid cylinders embedded in air. An extension of the numerical method using Schlömilch series is performed in order to account for visco-thermal losses. Comparison with experimental data and results from classical homogenization theory allows to study the transition between a low frequency limit (where viscous and thermal effects dominate) and a high frequency regime (where multiple scattering effects become predominant). For this particular geometry, a large frequency domain where visco-thermal and multiple scattering effects coexist is found.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 45 , Issue 1 , January 2009 , 11302
Copyright
© EDP Sciences, 2009

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