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

Guenneau, S; Poulton, CG; Movchan, AB

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

Guenneau, S Poulton, CG

Movchan, AB

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Publisher:: Elsevier
Publication Type:: Journal Article
Citation:: Comptes Rendus Mathematique, 2002, 330 pp. 491 - 497
Issue Date:: 2002-01

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Field	Value	Language
dc.contributor.author	Guenneau, S	en_US
dc.contributor.author	Poulton, CG https://orcid.org/0000-0002-2707-3424	en_US
dc.contributor.author	Movchan, AB	en_US
dc.date.issued	2002-01	en_US
dc.identifier.citation	Comptes Rendus Mathematique, 2002, 330 pp. 491 - 497	en_US
dc.identifier.issn	1631-073X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8410
dc.description.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	en_US
dc.format	No Code	en_US
dc.publisher	Elsevier	en_US
dc.relation.ispartof	Comptes Rendus Mathematique	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	Probleme spectral pour la propagation conique des ondes elastiques dans un reseau de fibres	en_US
dc.type	Journal Article
utslib.citation.volume	330	en_US
utslib.for	0205 Optical Physics	en_US
utslib.for	0204 Condensed Matter Physics	en_US
utslib.for	0101 Pure Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	closed_access
pubs.consider-herdc	false	en_US
pubs.volume	330	en_US

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

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http://hdl.handle.net/10453/8410