Inverse iteration for nonlinear eigenvalue problems in electromagnetic scattering

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dc.contributor.author Spence, Alistair en_US
dc.contributor.author Poulton, Christopher en_US
dc.contributor.editor Movchan AB en_US
dc.date.accessioned 2009-06-26T04:18:15Z
dc.date.available 2009-06-26T04:18:15Z
dc.date.issued 2003 en_US
dc.identifier 2008003158 en_US
dc.identifier.citation Spence Alistair and Poulton Christopher 2003, 'Inverse iteration for nonlinear eigenvalue problems in electromagnetic scattering', Kluwer, Netherlands, pp. 585-594. en_US
dc.identifier.issn 1-4020-1780-4 en_US
dc.identifier.other E1UNSUBMIT 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.isbasedon http://dx.doi.org/10.1007/1-4020-2604-8_54 en_US
dc.title Inverse iteration for nonlinear eigenvalue problems in electromagnetic scattering en_US
dc.parent Solid Mechanics and its Applications vol 113: IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics en_US
dc.journal.volume 113 en_US
dc.publocation Netherlands en_US
dc.identifier.startpage 585 en_US
dc.identifier.endpage 594 en_US
dc.cauo.name SCI.Mathematical Sciences en_US
dc.conference Verified OK en_US
dc.for 091300 en_US
dc.personcode 0000049178 en_US
dc.personcode 102194 en_US
dc.percentage 100 en_US
dc.classification.name Mechanical Engineering en_US
dc.classification.type FOR-08 en_US
dc.edition 1 en_US
dc.custom IUTAM Symposia series en_US
dc.date.activity 20020708 en_US
dc.location.activity Liverpool, UK en_US
dc.description.keywords NA en_US
dc.staffid 102194 en_US


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