The University of Southampton
University of Southampton Institutional Repository

Eigenvalue spectrum estimation and photonic crystals

Eigenvalue spectrum estimation and photonic crystals
Eigenvalue spectrum estimation and photonic crystals
We have developed an algorithm for the estimation of eigenvalue spectra and have applied it to the determination of the density of states in a photonic crystal, which requires the repeated solution of a generalized eigenvalue problem. We demonstrate that the algorithm offers significant advantages in time, memory, and ease of parallelization over conventional subspace iteration algorithms. In particular it is possible to obtain more than two orders of magnitude speedup in time over subspace methods for modestly sized matrices. For larger matrices the savings are even greater, whilst retaining accurate resolution of features of the eigenspectrum
3-540-42495-4
2150
578-586
Springer
Thomas, Ken S.
b107015f-c7d9-42cc-b87b-207c49e5369a
Cox, Simon J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Beckett, Duan H.
86258cac-ad97-4a21-8de0-53216c0ee810
Hiett, Ben P.
55456bde-e9b3-446b-8ffa-2ceb3b79aa12
Generowicz, Jasek
20027c65-17e0-49b3-97d4-a7980db66970
Daniell, Geoffrey J.
82c59eea-5002-4889-8823-2c6e5b3288d3
Thomas, Ken S.
b107015f-c7d9-42cc-b87b-207c49e5369a
Cox, Simon J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Beckett, Duan H.
86258cac-ad97-4a21-8de0-53216c0ee810
Hiett, Ben P.
55456bde-e9b3-446b-8ffa-2ceb3b79aa12
Generowicz, Jasek
20027c65-17e0-49b3-97d4-a7980db66970
Daniell, Geoffrey J.
82c59eea-5002-4889-8823-2c6e5b3288d3

Thomas, Ken S., Cox, Simon J., Beckett, Duan H., Hiett, Ben P., Generowicz, Jasek and Daniell, Geoffrey J. (2001) Eigenvalue spectrum estimation and photonic crystals. In, Euro-Par 2001: Parallel Processing: 7th International Euro-Par Conference. (Lecture Notes in Computer Science, 2150) 7th International Euro-Par Conference (27/08/01 - 30/08/01) Berlin, Germany. Springer, pp. 578-586.

Record type: Book Section

Abstract

We have developed an algorithm for the estimation of eigenvalue spectra and have applied it to the determination of the density of states in a photonic crystal, which requires the repeated solution of a generalized eigenvalue problem. We demonstrate that the algorithm offers significant advantages in time, memory, and ease of parallelization over conventional subspace iteration algorithms. In particular it is possible to obtain more than two orders of magnitude speedup in time over subspace methods for modestly sized matrices. For larger matrices the savings are even greater, whilst retaining accurate resolution of features of the eigenspectrum

Text
Europar2001 - Other
Restricted to Registered users only
Download (126kB)
Request a copy
Text
Europar2003 - Other
Restricted to Registered users only
Download (443kB)
Request a copy

More information

Published date: August 2001
Additional Information: Series ISSN 0302-9743
Venue - Dates: 7th International Euro-Par Conference, Manchester, UK,, 2001-08-27 - 2001-08-30
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 256537
URI: http://eprints.soton.ac.uk/id/eprint/256537
ISBN: 3-540-42495-4
PURE UUID: 7bfb9d68-f82b-43cb-badc-946ed9fa0adc

Catalogue record

Date deposited: 30 Apr 2002
Last modified: 12 Jan 2021 17:32

Export record

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.

×