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Gap localization of TE-Modes by arbitrarily weak defects

Brown, B. M., Hoang, V., Plum, M., Radosz, M. and Wood, I. 2017. Gap localization of TE-Modes by arbitrarily weak defects. Journal of the London Mathematical Society 95 (3) , pp. 942-962. 10.1112/jlms.12046

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Abstract

This paper considers the propagation of TE-modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the periodic background problem and the perturbed problem are modelled by a divergence type equation. A feature of our analysis is that we allow discontinuities in the coefficients of the operator, which is required to model many photonic crystals. It is shown that arbitrarily weak perturbations introduce spectrum into the spectral gaps of the background operator.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Additional Information: This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Publisher: Wiley
ISSN: 0024-6107
Funders: EPSRC
Date of First Compliant Deposit: 1 April 2017
Date of Acceptance: 24 March 2017
Last Modified: 02 Mar 2020 14:30
URI: http://orca-mwe.cf.ac.uk/id/eprint/99585

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