Wave scattering by platonic grating stacks

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dc.contributor.author Movchan, NV
dc.contributor.author Mcphedran, RC
dc.contributor.author Movchan, AB
dc.contributor.author Poulton, CG
dc.date.accessioned 2010-05-28T09:52:38Z
dc.date.issued 2009-11-08
dc.identifier.citation Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, 465 (2111), pp. 3383 - 3400
dc.identifier.issn 1364-5021
dc.identifier.other C1 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.
dc.language eng
dc.relation.isbasedon 10.1098/rspa.2009.0301
dc.title Wave scattering by platonic grating stacks
dc.type Journal Article
dc.parent Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
dc.journal.volume 2111
dc.journal.volume 465
dc.journal.number 2111 en_US
dc.publocation London, UK en_US
dc.identifier.startpage 3383 en_US
dc.identifier.endpage 3400 en_US
dc.cauo.name SCI.Faculty of Science en_US
dc.conference Verified OK en_US
dc.for 0205 Optical Physics
dc.for 0105 Mathematical Physics
dc.personcode 102194
dc.percentage 50 en_US
dc.classification.name Optical Physics en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US
dc.date.activity en_US
dc.location.activity ISI:000270301500007 en_US
dc.description.keywords Biharmonic operator
dc.description.keywords Flexural waves
dc.description.keywords Photonic and phononic band gaps
pubs.embargo.period Not known
pubs.organisational-group /University of Technology Sydney
pubs.organisational-group /University of Technology Sydney/Faculty of Science
pubs.organisational-group /University of Technology Sydney/Strength - Materials and Technology for Energy Efficiency
utslib.copyright.status Closed Access
utslib.copyright.date 2015-04-15 12:17:09.805752+10
pubs.consider-herdc true
utslib.collection.history Closed (ID: 3)
utslib.collection.history School of Mathematical Sciences (ID: 340)

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