Adaptivity in Bandstructure Calculations of Photonic Crystals
Abstract:
Photonic crystals are refractive materials with a certain periodic structure.
By the Floquet-Bloch transformation the Maxwell eigenvalue problem for the propagating frequencies in an infinite domain (modelling an infinite crystal) is reformulated into a set of eigenvalue problems in the elementary cell, parameterised by the quasi-momemtum k.
The aim of this thesis is to develop adaptive techniques to deal with the family of eigenvalue problems.
By the Floquet-Bloch transformation the Maxwell eigenvalue problem for the propagating frequencies in an infinite domain (modelling an infinite crystal) is reformulated into a set of eigenvalue problems in the elementary cell, parameterised by the quasi-momemtum k.
The aim of this thesis is to develop adaptive techniques to deal with the family of eigenvalue problems.
| Zugehörige Institution(en) am KIT | Institut für Angewandte und Numerische Mathematik (IANM) |
| Publikationstyp | Hochschulschrift |
| Publikationsjahr | 2011 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-233509 KITopen-ID: 1000023350 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Angewandte und Numerische Mathematik (IANM) |
| Prüfungsdaten | 26.01.2011 |
| Schlagwörter | adaptivity, Maxwell, photonic crystal, bands |
| Referent/Betreuer | Dörfler, W. |