Application of finite element methods to photonic crystal modelling
Application of finite element methods to photonic crystal modelling
Photonic crystals are materials with periodically modulated dielectric constant, through which certain frequencies of electromagnetic radiation cannot propagate; the luminary analogues of semiconductors. The modes admitted by photonic crystals can be investigated effectively using the finite element method with the assistance of the Bloch-Floquet theorem, by considering a unit cell of the material and imposing periodic boundary conditions. Along with the Dirichlet and metric matrices, a third type of elemental matrix emerges. The types of results that are of interest to photonic crystal manufacturers are introduced and presented; in this context, the benefits of using subspace iteration techniques to solve the eigensystems are discussed.
15-16
Beckett, D.H.
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Cox, S.J.
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Generowicz, J.M.
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Hiett, B.P.
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Molinari, M.
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Thomas, K.S.
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April 2002
Beckett, D.H.
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Cox, S.J.
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Generowicz, J.M.
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Hiett, B.P.
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Molinari, M.
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Thomas, K.S.
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Beckett, D.H., Cox, S.J., Generowicz, J.M., Hiett, B.P., Molinari, M. and Thomas, K.S.
(2002)
Application of finite element methods to photonic crystal modelling.
4th International Conference on Computation in Electromagnetics, CEM 2002, Bournemouth, UK.
08 - 11 Apr 2002.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
Photonic crystals are materials with periodically modulated dielectric constant, through which certain frequencies of electromagnetic radiation cannot propagate; the luminary analogues of semiconductors. The modes admitted by photonic crystals can be investigated effectively using the finite element method with the assistance of the Bloch-Floquet theorem, by considering a unit cell of the material and imposing periodic boundary conditions. Along with the Dirichlet and metric matrices, a third type of elemental matrix emerges. The types of results that are of interest to photonic crystal manufacturers are introduced and presented; in this context, the benefits of using subspace iteration techniques to solve the eigensystems are discussed.
Text
beckett_AppFEMtoPCxMod_CEM02_p15-16.pdf
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Published date: April 2002
Venue - Dates:
4th International Conference on Computation in Electromagnetics, CEM 2002, Bournemouth, UK, 2002-04-08 - 2002-04-11
Identifiers
Local EPrints ID: 23165
URI: http://eprints.soton.ac.uk/id/eprint/23165
PURE UUID: 78e27e28-563c-439d-a351-c7e445f5b9da
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Date deposited: 05 Jun 2006
Last modified: 15 Mar 2024 06:44
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Contributors
Author:
D.H. Beckett
Author:
J.M. Generowicz
Author:
B.P. Hiett
Author:
M. Molinari
Author:
K.S. Thomas
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