Brown, B.M. and Hoang, V. and Plum, M. and Wood, I. (2009) On Spectral Bounds for Photonic Crystal Waveguides. In: Bandle, C. and Losonczi, L. and Gilanyi, A. and Pales, Z. and Plum, M., eds. Inequalities and Applications. International Series of Numerical Mathematics, 157 . Birkhaeuser, Basel, pp. 23-30. ISBN 9783764387723.
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| Official URL http://dx.doi.org/10.1007/978-3-7643-8773-0_3 |
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 |
|---|---|
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | Ian Wood |
| Date Deposited: | 09 Apr 2010 10:57 |
| Last Modified: | 06 Jan 2012 15:28 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/23940 (The current URI for this page, for reference purposes) |
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