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 |

## 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 |
---|---|

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 |

Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | Ian Wood |

Date Deposited: | 09 Apr 2010 10:57 UTC |

Last Modified: | 16 Nov 2021 10:02 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/23940 (The current URI for this page, for reference purposes) |

Wood, Ian: | https://orcid.org/0000-0001-7181-7075 |

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