Gap-edge asymptotics of defect modes in twodimensional photonic crystals

Dossou, K; McPhedran, R; Botten, L; Asatryan, A; De Sterke, C

Gap-edge asymptotics of defect modes in twodimensional photonic crystals

Dossou, K McPhedran, R Botten, L Asatryan, A De Sterke, C

Permalink

Publisher:: Optical Society of America
Publication Type:: Journal Article
Citation:: Dossou Kokou et al. 2007, 'Gap-edge asymptotics of defect modes in two-dimensional photonic crystals', Optical Soc Amer, vol. 15, no. 8, pp. 4753-4762.
Issue Date:: 2007

Open Access

Copyright Clearance Process

Recently Added
In Progress
Open Access

This item is open access.

Adobe PDF

Download 2006011464.pdfAdobe PDF (202.64 kB)

View on publisher's site

View statistics

Full metadata record

Field	Value	Language
dc.contributor.author	Dossou, K	en_US
dc.contributor.author	McPhedran, R	en_US
dc.contributor.author	Botten, L	en_US
dc.contributor.author	Asatryan, A	en_US
dc.contributor.author	De Sterke, C	en_US
dc.date.accessioned	2009-06-26T04:10:31Z
dc.date.available	2009-06-26T04:10:31Z
dc.date.issued	2007	en_US
dc.identifier	2006011464	en_US
dc.identifier.citation	Dossou Kokou et al. 2007, 'Gap-edge asymptotics of defect modes in two-dimensional photonic crystals', Optical Soc Amer, vol. 15, no. 8, pp. 4753-4762.	en_US
dc.identifier.issn	1094-4087	en_US
dc.identifier.other	C1	en_US
dc.identifier.uri	http://hdl.handle.net/10453/439
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.	en_US
dc.publisher	Optical Society of America	en_US
dc.relation.ispartof	Optics Express	en_US
dc.relation.isbasedon	http://dx.doi.org/10.1364/OE.15.004753	en_US
dc.rights	This paper was published in Optics Express and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website:http://dx.doi.org/10.1364/OE.15.004753. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law
dc.title	Gap-edge asymptotics of defect modes in twodimensional photonic crystals	en_US
dc.type	Journal article
utslib.citation.volume	15	en_US
utslib.citation.number	8	en_US
utslib.location	Washington D.C.	en_US
utslib.citation.startpage	4753	en_US
utslib.citation.endpage	4762	en_US
utslib.identifier.org	Science	en_US
utslib.copyright.status	open_access

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.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/439