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Finite element modelling of photonic crystals

Finite element modelling of photonic crystals
Finite element modelling of photonic crystals
This paper presents an efficient finite element method (FEM) for computing spectra of photonic band gap materials. Such computations have traditionally been approached using plane wave expansion techniques. These have the disadvantages of being expensive in terms of computation and memory. By contrast, the FEM is considerably more efficient due mainly to the fact that the eigensystem matrices are very sparse. Furthermore, FEM operates on a real space representation of the discontinuous dielectric constants. An implementation of the method is described and it is used to compute the band structure for a variety of photonic crystal (PC) geometries. We compare our results with those obtained from other sources, including plane wave expansion techniques, finite difference (FD) methods and experimental data. The performance of the algorithm is also analysed in terms of memory and computational cost.
1899371281
87-88
Engineering and Physical Sciences Research Council
Hiett, B.P.
244a4b4e-ac70-4a3c-a8ef-3474f5ef9f8c
Generowicz, J.M.
ecb61cdf-854c-4928-b71f-8e7708bf267b
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Molinari, M.
47944a31-9242-4dcf-a527-40309e104fbf
Beckett, D.
bc8bebd8-7222-49bc-b5e6-1d4de3ec748e
Parker, G.J.
0be0b760-c634-410d-adf6-076c6636be7e
Thomas, K.S.
3eb8b4f5-2076-4edc-a7f5-30787773e1bf
Hiett, B.P.
244a4b4e-ac70-4a3c-a8ef-3474f5ef9f8c
Generowicz, J.M.
ecb61cdf-854c-4928-b71f-8e7708bf267b
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Molinari, M.
47944a31-9242-4dcf-a527-40309e104fbf
Beckett, D.
bc8bebd8-7222-49bc-b5e6-1d4de3ec748e
Parker, G.J.
0be0b760-c634-410d-adf6-076c6636be7e
Thomas, K.S.
3eb8b4f5-2076-4edc-a7f5-30787773e1bf

Hiett, B.P., Generowicz, J.M., Cox, S.J., Molinari, M., Beckett, D., Parker, G.J. and Thomas, K.S. (2001) Finite element modelling of photonic crystals. In, PREP 2001: Third conference on postgraduate research in electronics, photonics, communications and software : 9-11 April 2001,University of Keele, UK. Engineering and Physical Sciences Research Council, pp. 87-88.

Record type: Book Section

Abstract

This paper presents an efficient finite element method (FEM) for computing spectra of photonic band gap materials. Such computations have traditionally been approached using plane wave expansion techniques. These have the disadvantages of being expensive in terms of computation and memory. By contrast, the FEM is considerably more efficient due mainly to the fact that the eigensystem matrices are very sparse. Furthermore, FEM operates on a real space representation of the discontinuous dielectric constants. An implementation of the method is described and it is used to compute the band structure for a variety of photonic crystal (PC) geometries. We compare our results with those obtained from other sources, including plane wave expansion techniques, finite difference (FD) methods and experimental data. The performance of the algorithm is also analysed in terms of memory and computational cost.

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Published date: 2001
Organisations: Engineering Sciences

Identifiers

Local EPrints ID: 21947
URI: http://eprints.soton.ac.uk/id/eprint/21947
ISBN: 1899371281
PURE UUID: 115ef34b-0125-43fc-ae89-2308fafe647a

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Date deposited: 25 Jul 2008
Last modified: 15 Mar 2024 06:33

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Contributors

Author: B.P. Hiett
Author: J.M. Generowicz
Author: S.J. Cox
Author: M. Molinari
Author: D. Beckett
Author: G.J. Parker
Author: K.S. Thomas

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