Brown, B. M. ![]() |
Official URL: http://dx.doi.org/10.1002/mana.201300165
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 |
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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: | 27 Oct 2022 09:39 |
URI: | https://orca.cardiff.ac.uk/id/eprint/67128 |
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