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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques.
- engineering and technologymaterials engineeringcrystals
- natural sciencescomputer and information sciencessoftware
- natural sciencesmathematicsapplied mathematicsnumerical analysis
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Topic(s)
Call for proposal
FP7-PEOPLE-IEF-2008
See other projects for this call
Funding Scheme
MC-IEF - Intra-European Fellowships (IEF)Coordinator
8092 Zuerich
Switzerland