Application of Finite Element Methods to Photonic Crystal Modelling
Application of Finite Element Methods to Photonic Crystal Modelling
Photonic Crystals (PCs) are materials with periodically modulated dielectric constant, through which certain frequencies of electromagnetic radiation cannot propagate. The modes admitted by photonic crystals can be investigated effectively using the finite element method with the assistance of the Floquet-Bloch 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 the subspace iteration method to solve the eigensystems are discussed. The performance of the algorithm is investigated with respect to mesh granularity and interpolation order.
Hiett, B.P.
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Beckett, D.H.
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Cox, S.J.
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Generowicz, J.M.
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Molinari, M
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Thomas, K.S
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April 2002
Hiett, B.P.
244a4b4e-ac70-4a3c-a8ef-3474f5ef9f8c
Beckett, D.H.
71fdbee9-30b4-4a11-accd-fee7b28f7257
Cox, S.J.
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Generowicz, J.M.
ecb61cdf-854c-4928-b71f-8e7708bf267b
Molinari, M
cab4fd7b-f43c-43db-ad14-b9e9741e7f7b
Thomas, K.S
b107015f-c7d9-42cc-b87b-207c49e5369a
Hiett, B.P., Beckett, D.H., Cox, S.J., Generowicz, J.M., Molinari, M and Thomas, K.S
(2002)
Application of Finite Element Methods to Photonic Crystal Modelling.
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Abstract
Photonic Crystals (PCs) are materials with periodically modulated dielectric constant, through which certain frequencies of electromagnetic radiation cannot propagate. The modes admitted by photonic crystals can be investigated effectively using the finite element method with the assistance of the Floquet-Bloch 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 the subspace iteration method to solve the eigensystems are discussed. The performance of the algorithm is investigated with respect to mesh granularity and interpolation order.
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Published date: April 2002
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Organisation: Institute of Electrical Engineers Address: Savoy Place, London, WC2R OBL, UK
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Electronic & Software Systems
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Local EPrints ID: 256503
URI: http://eprints.soton.ac.uk/id/eprint/256503
PURE UUID: 409e1c00-b784-46bb-afc1-96dd9c351ed3
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Date deposited: 17 Apr 2002
Last modified: 08 Jan 2022 11:45
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Author:
B.P. Hiett
Author:
D.H. Beckett
Author:
J.M. Generowicz
Author:
M Molinari
Author:
K.S Thomas
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