Finite element modelling of photonic crystals

Hiett, B.P., Generowicz, J.M., Cox, S.J., Molinari, M., Beckett, D.H., Parker, G.J. and Thomas, K.S. (2001) Finite element modelling of photonic crystals. In, EPSRC PREP 2001 Conference, Keele, UK, 09 - 11 Apr 2001. Swindon, UK, Engineering and Physical Sciences Research Council (EPSRC), 87-88.


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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

Item Type: Conference or Workshop Item (Paper)
Keywords: finite element modelling, photonic crystals
Subjects: T Technology > T Technology (General)
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Engineering Sciences
University Structure - Pre August 2011 > School of Electronics and Computer Science
ePrint ID: 45878
Accepted Date and Publication Date:
April 2001Published
Date Deposited: 20 Apr 2007
Last Modified: 31 Mar 2016 12:20

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