https://doi.org/10.1051/epjap:2008203
Transmission of acoustic waves through 2D phononic crystal: visco-thermal and multiple scattering effects
Laboratoire d'Acoustique de l'Université du Maine, UMR-CNRS 6613, Université du Maine, Av. Olivier Messiaen, 72085 Le Mans Cedex 9, France
Corresponding author: aroune.duclos@yahoo.fr
Received:
28
August
2008
Revised:
3
November
2008
Accepted:
5
November
2008
Published online:
16
January
2009
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.
PACS: 43.20.+g – General linear acoustics / 43.35.+d – Ultrasonics, quantum acoustics, and physical effects of sound / 63.20.-e – Phonons in crystal lattices
© EDP Sciences, 2009
