Shallow defect states in two-dimensional photonic crystals

Dossou, KB; Botten, LC; McPhedran, RC; Poulton, CG; Asatryan, AA; Martijn De Sterke, C

Shallow defect states in two-dimensional photonic crystals

Dossou, KB

Botten, LC

McPhedran, RC Poulton, CG

Asatryan, AA

Martijn De Sterke, C

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Publication Type:: Journal Article
Citation:: Physical Review A - Atomic, Molecular, and Optical Physics, 2008, 77 (6)
Issue Date:: 2008-06-27

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Field	Value	Language
dc.contributor.author	Dossou, KB https://orcid.org/0000-0002-2342-8945	en_US
dc.contributor.author	Botten, LC https://orcid.org/0000-0001-6471-6954	en_US
dc.contributor.author	McPhedran, RC	en_US
dc.contributor.author	Poulton, CG https://orcid.org/0000-0002-2707-3424	en_US
dc.contributor.author	Asatryan, AA https://orcid.org/0000-0003-1372-0413	en_US
dc.contributor.author	Martijn De Sterke, C	en_US
dc.date.issued	2008-06-27	en_US
dc.identifier.citation	Physical Review A - Atomic, Molecular, and Optical Physics, 2008, 77 (6)	en_US
dc.identifier.issn	1050-2947	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8379
dc.description.abstract	We investigate localized defect states near the edge of a band gap in a two-dimensional photonic crystal. An asymptotic approach based on Green's functions leads to analytical results both for the frequency and for the spatial behavior of the defect states. In particular, we find a simple exponential law which relates the change in frequency of the defect states to the relative change in electrical energy of the Bloch modes on the band edge, and to the density of states in the photonic crystal. We find that the symmetries of the Bloch modes at band extrema play an important role in the manifestation and evolution of defect states. We confirm the analysis with numerical simulations based on the fictitious source superposition method. © 2008 The American Physical Society.	en_US
dc.relation.ispartof	Physical Review A - Atomic, Molecular, and Optical Physics	en_US
dc.relation.isbasedon	10.1103/PhysRevA.77.063839	en_US
dc.subject.classification	General Physics	en_US
dc.title	Shallow defect states in two-dimensional photonic crystals	en_US
dc.type	Journal Article
utslib.citation.volume	6	en_US
utslib.citation.volume	77	en_US
utslib.for	0105 Mathematical Physics	en_US
utslib.for	0205 Optical Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	03 Chemical Sciences	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	6	en_US
pubs.publication-status	Published	en_US
pubs.volume	77	en_US

Abstract:

We investigate localized defect states near the edge of a band gap in a two-dimensional photonic crystal. An asymptotic approach based on Green's functions leads to analytical results both for the frequency and for the spatial behavior of the defect states. In particular, we find a simple exponential law which relates the change in frequency of the defect states to the relative change in electrical energy of the Bloch modes on the band edge, and to the density of states in the photonic crystal. We find that the symmetries of the Bloch modes at band extrema play an important role in the manifestation and evolution of defect states. We confirm the analysis with numerical simulations based on the fictitious source superposition method. © 2008 The American Physical Society.

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http://hdl.handle.net/10453/8379