Hiett, BP, Generowicz, JM, Cox, SJ, Molinari, M, Beckett, D, Parker, GJ and Thomas, KS
FINITE ELEMENT MODELLING OF PHOTONIC CRYSTALS: 1st
At PREP 2001 Conference Publication.
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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.
Conference or Workshop Item
||Chapter: 3 Organisation: EPSRC Address: Swindon
|Venue - Dates:
||PREP 2001 Conference Publication, 2001-04-01
||Nanoelectronics and Nanotechnology, Electronic & Software Systems
||24 Apr 2001
||17 Apr 2017 23:14
|Further Information:||Google Scholar|
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