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Spectrum created by line defects in periodic structures

Brown, B. M., Hoang, V., Plum, M. and Wood, I. 2014. Spectrum created by line defects in periodic structures. Mathematical News / Mathematische Nachrichten 287 (17-18) , pp. 1972-1985. 10.1002/mana.201300165

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Abstract

We study a Helmholtz-type spectral problem related to the propagation of electromagnetic waves in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a three-dimensional periodic medium; the defect is infinitely extended in one direction, but compactly supported in the remaining two. This perturbation introduces guided mode spectrum inside the band gaps of the fully periodic, unperturbed spectral problem. We will show that even small perturbations lead to additional spectrum in the spectral gaps of the unperturbed operator and investigate some properties of the spectrum that is created.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Publisher: Wiley-VCH Verlag
ISSN: 0025-584X
Date of Acceptance: 21 March 2014
Last Modified: 02 Mar 2020 14:30
URI: http://orca.cf.ac.uk/id/eprint/67128

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