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On spectral bounds for photonic crystal waveguides

Brown, Brian Malcolm, Hoang, Vu, Plum, Michael and Wood, Ian G. 2009. On spectral bounds for photonic crystal waveguides. International Series of Numerical Mathematics 157 , pp. 23-30. 10.1007/978-3-7643-8773-0_3

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Abstract

For a (d + 1)-dimensional photonic crystal with a linear defect strip (waveguide), we calculate real intervals containing spectrum of the associated spectral problem. If such an interval falls completely into a spectral gap of the unperturbed problem (without defect), this will prove the existence of additional spectrum induced by the waveguide.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Additional Information: Book Title:Inequalities and Applications Conference on Inequalities and Applications, Noszvaj (Hungary), September 2007 Book ISBN: 9783764387723
Publisher: Springer
ISSN: 0373-3149
Last Modified: 04 Jun 2017 04:54
URI: http://orca-mwe.cf.ac.uk/id/eprint/46308

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