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) (KAR id:23940)
| 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. | |
| Official URL: http://dx.doi.org/10.1007/978-3-7643-8773-0_3 |
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| Additional URLs: |
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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 |
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| 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 |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Ian Wood |
| Date Deposited: | 09 Apr 2010 10:57 UTC |
| Last Modified: | 20 May 2025 11:34 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/23940 (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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