Inverse iteration for nonlinear eigenvalue problems in electromagnetic scattering

Spence, A; Poulton, CG

Inverse iteration for nonlinear eigenvalue problems in electromagnetic scattering

Spence, A Poulton, CG

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Publisher:: Kluwer
Publication Type:: Conference Proceeding
Citation:: Solid Mechanics and its Applications vol 113: IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics, 2003, 113 pp. 585 - 594
Issue Date:: 2003-01

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Field	Value	Language
dc.contributor.author	Spence, A	en_US
dc.contributor.author	Poulton, CG https://orcid.org/0000-0002-2707-3424	en_US
dc.contributor.editor	Movchan, AB	en_US
dc.date	2002-07-08	en_US
dc.date.issued	2003-01	en_US
dc.identifier.citation	Solid Mechanics and its Applications vol 113: IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics, 2003, 113 pp. 585 - 594	en_US
dc.identifier.isbn	1-4020-1780-4	en_US
dc.identifier.uri	http://hdl.handle.net/10453/803
dc.description.abstract	We present an extension of the well-known method of 'inverse iteration' for the standard eigenvalue problem to the nonlinear problem of finding dispersion relations for electromagnetic waves moving through a doublyperiodic structure. Numerical results are presented to illustrate the performance of the technique. A further improvement is described that allows an e cient path following algorithm where a curve of solutions is computed in (?, Kbloch) space. We present dispersion relations calculated via this new method and compare the efficiency of this algorithm with that of more traditional methods.	en_US
dc.publisher	Kluwer	en_US
dc.relation.ispartof	Solid Mechanics and its Applications vol 113: IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics	en_US
dc.relation.ispartof	IUTAM Symposia series	en_US
dc.relation.isbasedon	10.1007/1-4020-2604-8_54	en_US
dc.title	Inverse iteration for nonlinear eigenvalue problems in electromagnetic scattering	en_US
dc.type	Conference Proceeding
utslib.citation.volume	113	en_US
utslib.location	Netherlands	en_US
utslib.location.activity	Liverpool, UK	en_US
utslib.for	0913 Mechanical Engineering	en_US
dc.location.activity	Liverpool, UK	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.consider-herdc	false	en_US
pubs.place-of-publication	Netherlands	en_US
pubs.start-date	2002-07-08	en_US
pubs.volume	113	en_US

Abstract:

We present an extension of the well-known method of 'inverse iteration' for the standard eigenvalue problem to the nonlinear problem of finding dispersion relations for electromagnetic waves moving through a doublyperiodic structure. Numerical results are presented to illustrate the performance of the technique. A further improvement is described that allows an e cient path following algorithm where a curve of solutions is computed in (?, Kbloch) space. We present dispersion relations calculated via this new method and compare the efficiency of this algorithm with that of more traditional methods.

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http://hdl.handle.net/10453/803