Brown, B.M., Hoang, V., Plum, M., Radosz, M., Wood, Ian (2017) Gap Localization of TE-Modes by Arbitrarily Weak Defects. Journal of the London Mathematical Society, 95 (3). pp. 942-962. ISSN 0024-6107. E-ISSN 1469-7750. (doi:10.1112/jlms.12046) (KAR id:61408)
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| Official URL: http://dx.doi.org/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 |
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| DOI/Identification number: | 10.1112/jlms.12046 |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Ian Wood |
| Date Deposited: | 20 Apr 2017 13:37 UTC |
| Last Modified: | 05 Nov 2024 10:55 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/61408 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Wood, Ian.
| Creator's ORCID: |
 https://orcid.org/0000-0001-7181-7075
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