NSP

Nonlinear spectral problems and wave propagation in crystals

Coordinatore	EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZURICH    more  Organization address address: Raemistrasse 101 city: ZUERICH postcode: 8092 contact info Titolo: Prof. Nome: Ralph Cognome: Hiptmair Email: send email Telefono: +41 44 632 34 04 Fax: +41 44 632 11 04
Nazionalità Coordinatore	Switzerland [CH]
Totale costo	0 €
EC contributo	152˙831 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-IEF-2008
Funding Scheme	MC-IEF
Anno di inizio	2010
Periodo (anno-mese-giorno)	2010-01-01   -   2011-12-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZURICH  Organization address address: Raemistrasse 101 city: ZUERICH postcode: 8092 contact info Titolo: Prof. Nome: Ralph Cognome: Hiptmair Email: send email Telefono: +41 44 632 34 04 Fax: +41 44 632 11 04	CH (ZUERICH)	coordinator	152˙831.95

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 Obiettivo del progetto (Objective)

'Nonlinear spectral problems frequently occur when damping effects or frequency dependencies are included in a model. Many physically relevant spectral problems induce symmetries in the spectrum. Numerical methods that ignore structure often break these qualitatively important symmetries, which may lead to physically meaningless or unstable results. The importance of preserving eigenvalue symmetries of a matrix polynomial has been discussed in recent years. However, the whole chain, from spectral symmetries of the non-linear problem on an infinite-dimensional space to the numerically calculated eigenvalues has not been studied. The aim of this project is to analyze all steps in the chain and to use the new results to develop highly effective numerical software for calculations of plasmon resonances and band gaps in dielectric and metallic photonic crystals. Such crystal structures that are designed for controlling propagation of electromagnetic waves have numerous applications including telecommunication, solar cells, integrated circuits, and possibly in the future optical or plasmonic computers.'