Multiple Scattering and Visco-Thermal Effects on 2D Phononic Crystal
Abstract
In this paper, we are interested in the transition between regimes here 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 Schl\"omilch series is performed in order to account for visco-thermal losses. Comparison withexperimental 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
Cite
@article{arxiv.0807.3867,
title = {Multiple Scattering and Visco-Thermal Effects on 2D Phononic Crystal},
author = {Aroune Duclos and Denis Lafarge and Vincent Pagneux},
journal= {arXiv preprint arXiv:0807.3867},
year = {2008}
}