Beckett, D.H., Cox, S.J., Generowicz, J.M., Hiett, B.P., Molinari, M. and Thomas, K.S.
Application of finite element methods to photonic crystal modelling.
In, 4th International Conference on Computation in Electromagnetics, CEM 2002, Bournemouth, UK,
08 - 11 Apr 2002.
IET Seminar Digests2pp, .
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.
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