Oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres

Guenneau, S; Poulton, CG; Movchan, AB

Oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres

Guenneau, S Poulton, CG

Movchan, AB

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Publication Type:: Journal Article
Citation:: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2003, 459 (2037), pp. 2215 - 2263
Issue Date:: 2003-09-08

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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	2003-09-08	en_US
dc.identifier.citation	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2003, 459 (2037), pp. 2215 - 2263	en_US
dc.identifier.issn	1364-5021	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8361
dc.description.abstract	This paper presents analysis of electromagnetic and elastodynamic waves propagating through a doubly periodic array of cylindrical channels in oblique incidence. A new method, based on a multipole scattering approach, has been proposed to reduce these spectral problems for partial differential equations to certain algebraic problems of the Rayleigh type. We obtain a formulation in terms of an eigenvalue problem that enables us to construct the high-order dispersion curves and to study both photonic and phononic band-gap structures in oblique incidence. We also address the question of a singular perturbation induced by the conical incidence and discuss some effective properties for ferromagnetic photonic crystal fibres in the long-wavelength limit.	en_US
dc.relation.ispartof	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences	en_US
dc.relation.isbasedon	10.1098/rspa.2002.1114	en_US
dc.title	Oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres	en_US
dc.type	Journal Article
utslib.citation.volume	2037	en_US
utslib.citation.volume	459	en_US
utslib.for	0205 Optical Physics	en_US
utslib.for	0204 Condensed Matter Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	09 Engineering	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.issue	2037	en_US
pubs.publication-status	Published	en_US
pubs.volume	459	en_US

Abstract:

This paper presents analysis of electromagnetic and elastodynamic waves propagating through a doubly periodic array of cylindrical channels in oblique incidence. A new method, based on a multipole scattering approach, has been proposed to reduce these spectral problems for partial differential equations to certain algebraic problems of the Rayleigh type. We obtain a formulation in terms of an eigenvalue problem that enables us to construct the high-order dispersion curves and to study both photonic and phononic band-gap structures in oblique incidence. We also address the question of a singular perturbation induced by the conical incidence and discuss some effective properties for ferromagnetic photonic crystal fibres in the long-wavelength limit.

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http://hdl.handle.net/10453/8361