The University of Southampton
University of Southampton Institutional Repository

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 At 4th International Conference on Computation in Electromagnetics, CEM 2002. 08 - 11 Apr 2002. 2 pp, pp. 15-16.

Record type: Conference or Workshop Item (Paper)

Abstract

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.

PDF beckett_AppFEMtoPCxMod_CEM02_p15-16.pdf - Accepted Manuscript
Download (180kB)

More information

Published date: April 2002
Venue - Dates: 4th International Conference on Computation in Electromagnetics, CEM 2002, 2002-04-08 - 2002-04-11

Identifiers

Local EPrints ID: 23165
URI: http://eprints.soton.ac.uk/id/eprint/23165
PURE UUID: 78e27e28-563c-439d-a351-c7e445f5b9da

Catalogue record

Date deposited: 05 Jun 2006
Last modified: 17 Jul 2017 16:19

Export record

Contributors

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

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×