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On Spectral Bounds for Photonic Crystal Waveguides

Brown, Brian Malcolm and Hoang, Vu and Plum, Michael and Wood, Ian (2009) On Spectral Bounds for Photonic Crystal Waveguides. In: Bandle, Catherine and Losonczi, Laszlo and Gilanyi, Attila and Pales, Zsolt and Plum, Michael, eds. Inequalities and Applications. International Series of Numerical Mathematics, 157 . Birkhaeuser, Basel, pp. 23-30. ISBN 978-3-7643-8772-3. (doi:10.1007/978-3-7643-8773-0_3) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1007/978-3-7643-8773-0_3

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: Book section
DOI/Identification number: 10.1007/978-3-7643-8773-0_3
Subjects: Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Ian Wood
Date Deposited: 09 Apr 2010 10:57 UTC
Last Modified: 01 Aug 2019 10:33 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/23940 (The current URI for this page, for reference purposes)
Wood, Ian: https://orcid.org/0000-0001-7181-7075
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