Application of finite element methods to photonic crystal modelling

Beckett, D.H., Cox, S.J., Generowicz, J.M., Hiett, B.P., Molinari, M. and Thomas, K.S. (2002) 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, 15-16.


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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.

Item Type: Conference or Workshop Item (Paper)
Related URLs:
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
ePrint ID: 23165
Accepted Date and Publication Date:
April 2002Published
Date Deposited: 05 Jun 2006
Last Modified: 31 Mar 2016 11:43

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