Plane-wave scattering by a photonic crystal slab: Multipole modal formulation and accuracy

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Show simple item record Chen, PY Byrne, MA Asatryan, AA Botten, LC Dossou, KB Tuniz, A McPhedran, RC De Sterke, CM Poulton, CG Steel, MJ 2014-04-03T01:22:18Z 2012-11-01
dc.identifier.citation Waves in Random and Complex Media, 2012, 22 (4), pp. 531 - 570
dc.identifier.issn 1745-5030
dc.identifier.other C1 en_US
dc.description.abstract The optical properties of photonic crystal slabs are often simulated with general three-dimensional methods such as finite-difference time-domain. Here we develop a multipole modal method, which is specialized to exploit two symmetries of the photonic crystal slab: the slab's vertically invariant nature allows the field to be expressed in Bloch modes, while the cylindrical inclusions allow the Bloch modes themselves to be expressed in the multipole basis. We find the multipole method to be fast and efficient in finding the Bloch modes, with convergence approaching the numerical accuracy possible. By matching the Bloch modes to plane waves at the top and bottom interfaces of the photonic crystal, the field scattered by the slab is calculated. Values of transmittance and reflectance accurate to 2-3 digits are easily and quickly achieved, whereas 5-6 digits are possible with greater numbers of modes and plane waves in field expansions. Higher accuracy is limited by Gibbs-related phenomena arising from the matching at the interface of necessarily discontinuous Bloch modes to necessarily continuous plane waves. We believe this limit may be present in all modal methods that use Bloch modes to expand the field within the photonic crystal. © 2012 Taylor and Francis Group, LLC.
dc.language eng
dc.relation.isbasedon 10.1080/17455030.2012.731090
dc.title Plane-wave scattering by a photonic crystal slab: Multipole modal formulation and accuracy
dc.type Journal Article
dc.description.version Published
dc.parent Waves in Random and Complex Media
dc.journal.volume 4
dc.journal.volume 22
dc.journal.number 4 en_US
dc.publocation Abingdon en_US
dc.identifier.startpage 531 en_US
dc.identifier.endpage 570 en_US SCI.Faculty of Science en_US
dc.conference Verified OK en_US
dc.for 0205 Optical Physics
dc.personcode 780055
dc.personcode 010655
dc.personcode 024072
dc.personcode 040396
dc.personcode 102194
dc.percentage 100 en_US Optical Physics en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US en_US
dc.location.activity en_US
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 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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