Wave scattering by platonic grating stacks

Movchan, NV; Mcphedran, RC; Movchan, AB; Poulton, CG

Wave scattering by platonic grating stacks

Movchan, NV Mcphedran, RC Movchan, AB Poulton, CG

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Publication Type:: Journal Article
Citation:: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, 465 (2111), pp. 3383 - 3400
Issue Date:: 2009-11-08

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Field	Value	Language
dc.contributor.author	Movchan, NV	en_US
dc.contributor.author	Mcphedran, RC	en_US
dc.contributor.author	Movchan, AB	en_US
dc.contributor.author	Poulton, CG https://orcid.org/0000-0002-2707-3424	en_US
dc.date.issued	2009-11-08	en_US
dc.identifier.citation	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, 465 (2111), pp. 3383 - 3400	en_US
dc.identifier.issn	1364-5021	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9892
dc.description.abstract	We address the problem of scattering of flexural waves obeying the biharmonic equation by a stack of a finite number of gratings.We express the solution of the scattering problem for a single grating in terms of reflection and transmission matrices, incorporating the effects of both propagating and evanescent incident waves. The plane wave expansion coefficients above and below the grating are linked to multipole coefficients within the grating using the grating sums and the Rayleigh identities. We derive the recurrence procedure giving the reflection and transmission matrices of the stack in terms of those of individual layers. Trapped waves between a pair of gratings are investigated. © 2009 The Royal Society.	en_US
dc.relation.ispartof	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences	en_US
dc.relation.isbasedon	10.1098/rspa.2009.0301	en_US
dc.title	Wave scattering by platonic grating stacks	en_US
dc.type	Journal Article
utslib.citation.volume	2111	en_US
utslib.citation.volume	465	en_US
utslib.for	0205 Optical Physics	en_US
utslib.for	0105 Mathematical Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	09 Engineering	en_US
dc.location.activity	ISI:000270301500007	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	2111	en_US
pubs.publication-status	Published	en_US
pubs.volume	465	en_US

Abstract:

We address the problem of scattering of flexural waves obeying the biharmonic equation by a stack of a finite number of gratings.We express the solution of the scattering problem for a single grating in terms of reflection and transmission matrices, incorporating the effects of both propagating and evanescent incident waves. The plane wave expansion coefficients above and below the grating are linked to multipole coefficients within the grating using the grating sums and the Rayleigh identities. We derive the recurrence procedure giving the reflection and transmission matrices of the stack in terms of those of individual layers. Trapped waves between a pair of gratings are investigated. © 2009 The Royal Society.

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http://hdl.handle.net/10453/9892