Probleme spectral pour la propagation conique des ondes elastiques dans un reseau de fibres

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Journal Article
Comptes Rendus Mathematique, 2002, 330 pp. 491 - 497
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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
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