Problème spectral pour la propagation conique des ondes élastiques dans un réseau de galeriesA spectral problem for conically propagating elastic waves through an array of cylindrical channels |
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Authors: | Sébastien Guenneau Chris Poulton Alexander Movchan |
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Institution: | Department of Mathematical Sciences, Liverpool University, Liverpool L69 3BX, UK |
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Abstract: | This Note is devoted to the analysis of elastic waves conically propagating through a doubly periodic array of cylindrical channels. A new method, based on a multiple scattering approach, has been proposed to reduce the problem to an algebraic system of the Rayleigh type. We obtain an eigenvalue problem formulation that enables us to construct the high-order dispersion curves and to study phononic band gap structures in oblique propagation. We note an effect of singular perturbation associated with a small angle of conical propagation. To cite this article: S. Guenneau et al., C. R. Mecanique 330 (2002) 491–497. |
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Keywords: | ondes guide périodique propagation conique waves periodic array conic propagation |
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