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Treatment of boundary conditions in the analysis of PBG structures

Treatment of boundary conditions in the analysis of PBG structures
Treatment of boundary conditions in the analysis of PBG structures
Floquet theory is used in the analysis of periodic structures such as photonic crystals. We argue in this paper, that we can use the first form of the Floquet transform to treat the boundary conditions. The advantage is that we can use standard (nonperiodic) software for the analysis by the finite-element method. We give an example of this technique to the electromagnetic Kronig-Penny model in three space dimensions, where the use of vector elements is essential.
floquet theory 3D photonic crystal periodic structure analysis
0 86341 400 1
51-52
The Institution of Engineering and Technology
Thomas, K.S.
b107015f-c7d9-42cc-b87b-207c49e5369a
Molinari, M.
47944a31-9242-4dcf-a527-40309e104fbf
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Thomas, K.S.
b107015f-c7d9-42cc-b87b-207c49e5369a
Molinari, M.
47944a31-9242-4dcf-a527-40309e104fbf
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55

Thomas, K.S., Molinari, M. and Cox, S.J. (2004) Treatment of boundary conditions in the analysis of PBG structures. In Proceedings of the Fifth IEE International Conference on Computation in Electromagnetics. The Institution of Engineering and Technology. pp. 51-52 . (doi:10.1049/cp:20040442).

Record type: Conference or Workshop Item (Paper)

Abstract

Floquet theory is used in the analysis of periodic structures such as photonic crystals. We argue in this paper, that we can use the first form of the Floquet transform to treat the boundary conditions. The advantage is that we can use standard (nonperiodic) software for the analysis by the finite-element method. We give an example of this technique to the electromagnetic Kronig-Penny model in three space dimensions, where the use of vector elements is essential.

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More information

Published date: April 2004
Additional Information: Event Dates: 19-22 April, 2004
Venue - Dates: Fifth IEE International Conference on Computation in Electromagnetics (CEM 2004), 2004-04-19 - 2004-04-22
Keywords: floquet theory 3D photonic crystal periodic structure analysis
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 259350
URI: https://eprints.soton.ac.uk/id/eprint/259350
ISBN: 0 86341 400 1
PURE UUID: d2471ed2-47d5-4d77-beaa-1b6a8ec8ed7a

Catalogue record

Date deposited: 28 Jan 2005
Last modified: 08 Apr 2019 16:30

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