An improved method for calculating resonances of multiple dielectric disks arbitrarily positioned in the plane

Schwefel, HGL; Poulton, CG

An improved method for calculating resonances of multiple dielectric disks arbitrarily positioned in the plane

Schwefel, HGL Poulton, CG

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Publication Type:: Journal Article
Citation:: Optics Express, 2009, 17 (15), pp. 13178 - 13186
Issue Date:: 2009-07-20

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Field	Value	Language
dc.contributor.author	Schwefel, HGL	en_US
dc.contributor.author	Poulton, CG https://orcid.org/0000-0002-2707-3424	en_US
dc.date.issued	2009-07-20	en_US
dc.identifier.citation	Optics Express, 2009, 17 (15), pp. 13178 - 13186	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8365
dc.description.abstract	We present a numerically improved multipole formulation for the calculation of resonances of multiple disks located at arbitrary positions in a 2-d plane, and suitable for the accurate computation of the resonances of large numbers of disks and of high-wavenumber eigenstates. Using a simple reformulation of the field expansions and boundary conditions, we are able to transform the multipole formalism into a linear eigenvalue problem, for which fast and accurate methods are available. Observing that the motion of the eigenvalues in the complex plane is analytic with respect to a two parameter family, we present a numerical algorithm to compute a range of multiple-disk resonances and field distributions using only two diagonalizations. This method can be applied to photonic molecules, photonic crystals, photonic crystal fibers, and random lasers. © 2009 Optical Society of America.	en_US
dc.relation.ispartof	Optics Express	en_US
dc.relation.isbasedon	10.1364/OE.17.013178	en_US
dc.rights	© 2009 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	An improved method for calculating resonances of multiple dielectric disks arbitrarily positioned in the plane	en_US
dc.type	Journal Article
utslib.citation.volume	15	en_US
utslib.citation.volume	17	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
dc.location.activity	ISI:000268399500100	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	15	en_US
pubs.publication-status	Published	en_US
pubs.volume	17	en_US

Abstract:

We present a numerically improved multipole formulation for the calculation of resonances of multiple disks located at arbitrary positions in a 2-d plane, and suitable for the accurate computation of the resonances of large numbers of disks and of high-wavenumber eigenstates. Using a simple reformulation of the field expansions and boundary conditions, we are able to transform the multipole formalism into a linear eigenvalue problem, for which fast and accurate methods are available. Observing that the motion of the eigenvalues in the complex plane is analytic with respect to a two parameter family, we present a numerical algorithm to compute a range of multiple-disk resonances and field distributions using only two diagonalizations. This method can be applied to photonic molecules, photonic crystals, photonic crystal fibers, and random lasers. © 2009 Optical Society of America.

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http://hdl.handle.net/10453/8365