Numerically efficient multipole method for photonic molecules

Schwefel, HGL; Poulton, CG; Wang, LJ

Numerically efficient multipole method for photonic molecules

Schwefel, HGL Poulton, CG

Wang, LJ

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Publication Type:: Conference Proceeding
Citation:: Proceedings of 2008 10th Anniversary International Conference on Transparent Optical Networks, ICTON, 2008, 4 pp. 230 - 233
Issue Date:: 2008-09-26

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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.contributor.author	Wang, LJ	en_US
dc.date.issued	2008-09-26	en_US
dc.identifier.citation	Proceedings of 2008 10th Anniversary International Conference on Transparent Optical Networks, ICTON, 2008, 4 pp. 230 - 233	en_US
dc.identifier.isbn	9781424426256	en_US
dc.identifier.uri	http://hdl.handle.net/10453/10691
dc.description.abstract	A novel and numerically efficient multipole formulation for the calculation of resonances of photonic molecules is presented. Photonic molecules are often modeled as two dimensional coupled dielectric disks. We use the multipole expansion of the individual fields and formulate the boundary conditions in terms of a generalized eigenvalue problem. The complex root search is simplified by studying the flow of the eigenvalues, where we argue that the motion of the eigenvalues in the complex plane is analytic with respect to a two parameter family. Based on this analytic behavior we present a numerical algorithm to compute a range of photonic molecule resonances and field distributions using only two diagonalizations. ©2008 IEEE.	en_US
dc.relation.ispartof	Proceedings of 2008 10th Anniversary International Conference on Transparent Optical Networks, ICTON	en_US
dc.relation.isbasedon	10.1109/ICTON.2008.4598777	en_US
dc.title	Numerically efficient multipole method for photonic molecules	en_US
dc.type	Conference Proceeding
utslib.citation.volume	4	en_US
utslib.for	0205 Optical Physics	en_US
utslib.for	0204 Condensed Matter Physics	en_US
dc.location.activity	Athens, Greece	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	closed_access
pubs.publication-status	Published	en_US
pubs.volume	4	en_US

Abstract:

A novel and numerically efficient multipole formulation for the calculation of resonances of photonic molecules is presented. Photonic molecules are often modeled as two dimensional coupled dielectric disks. We use the multipole expansion of the individual fields and formulate the boundary conditions in terms of a generalized eigenvalue problem. The complex root search is simplified by studying the flow of the eigenvalues, where we argue that the motion of the eigenvalues in the complex plane is analytic with respect to a two parameter family. Based on this analytic behavior we present a numerical algorithm to compute a range of photonic molecule resonances and field distributions using only two diagonalizations. ©2008 IEEE.

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http://hdl.handle.net/10453/10691