On spectral bounds for photonic crystal waveguides

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591, 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:	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:	24 Oct 2022 10:54
URI:	https://orca.cardiff.ac.uk/id/eprint/46308

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