Electromagnetic Wave Scattering at Biperiodic Surfaces: Variational Formulation, Boundary Integral Equations and High Order Solvers
Abstract:
In this thesis we consider time-harmonic electromagnetic wave scattering at impenetrable biperiodic surfaces in a homogeneous medium. Besides their rigorous analysis in biperiodic Sobolev spaces, which aims at answering the questions about existence and uniqueness of solutions, we will derive a high order solver for its numerical approximation - a collocation method based on trigonometric polynomials.
| Zugehörige Institution(en) am KIT | Institut für Angewandte und Numerische Mathematik (IANM) |
| Publikationstyp | Hochschulschrift |
| Publikationsjahr | 2016 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-608564 KITopen-ID: 1000060856 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | VIII, 339 S. |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Angewandte und Numerische Mathematik (IANM) |
| Prüfungsdaten | 19.10.2016 |
| Schlagwörter | biperiodic, scattering, Maxwell, Calderon, high order solver |
| Referent/Betreuer | Arens, T. |