Gap-edge asymptotics of defect modes in two-dimensional photonic crystals

Dossou, KB; McPhedran, RC; Botten, LC; Asatryan, AA; De Sterke, CM

Gap-edge asymptotics of defect modes in two-dimensional photonic crystals

Dossou, KB

McPhedran, RC Botten, LC

Asatryan, AA

De Sterke, CM

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Publication Type:: Journal Article
Citation:: Optics Express, 2007, 15 (8), pp. 4753 - 4762
Issue Date:: 2007-04-16

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Field	Value	Language
dc.contributor.author	Dossou, KB https://orcid.org/0000-0002-2342-8945	en_US
dc.contributor.author	McPhedran, RC	en_US
dc.contributor.author	Botten, LC https://orcid.org/0000-0001-6471-6954	en_US
dc.contributor.author	Asatryan, AA https://orcid.org/0000-0003-1372-0413	en_US
dc.contributor.author	De Sterke, CM	en_US
dc.date.issued	2007-04-16	en_US
dc.identifier.citation	Optics Express, 2007, 15 (8), pp. 4753 - 4762	en_US
dc.identifier.uri	http://hdl.handle.net/10453/3269
dc.description.abstract	We consider defect modes created in complete gaps of 2D photonic crystals by perturbing the dielectric constant in some region. We study their evolution from a band edge with increasing perturbation using an asymptotic method that approximates the Green function by its dominant component which is associated with the bulk mode at the band edge. From this, we derive a simple exponential law which links the frequency difference between the defect mode and the band edge to the relative change in the electric energy. We present numerical results which demonstrate the accuracy of the exponential law, for TE and TM polarizations, hexagonal and square arrays, and in each of the first and second band gaps. © 2007 Optical Society of America.	en_US
dc.relation.ispartof	Optics Express	en_US
dc.relation.isbasedon	10.1364/OE.15.004753	en_US
dc.rights	© 2007 Optical Society of America. Users may use, reuse, and build upon the article, or use the article for text or data mining, so long as such uses are for non-commercial purposes and appropriate attribution is maintained. All other rights are reserved.	en_US
dc.subject.classification	Optics	en_US
dc.title	Gap-edge asymptotics of defect modes in two-dimensional photonic crystals	en_US
dc.type	Journal Article
utslib.citation.volume	8	en_US
utslib.citation.volume	15	en_US
utslib.for	0205 Optical Physics	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	1005 Communications Technologies	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	open_access
pubs.issue	8	en_US
pubs.publication-status	Published	en_US
pubs.volume	15	en_US

Abstract:

We consider defect modes created in complete gaps of 2D photonic crystals by perturbing the dielectric constant in some region. We study their evolution from a band edge with increasing perturbation using an asymptotic method that approximates the Green function by its dominant component which is associated with the bulk mode at the band edge. From this, we derive a simple exponential law which links the frequency difference between the defect mode and the band edge to the relative change in the electric energy. We present numerical results which demonstrate the accuracy of the exponential law, for TE and TM polarizations, hexagonal and square arrays, and in each of the first and second band gaps. © 2007 Optical Society of America.

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http://hdl.handle.net/10453/3269