Time harmonic Maxwell’s equations in periodic waveguides
Abstract:
We study Maxwell’s equations with periodic coefficients in a closed waveguide. A functional analytic approach is used to formulate and to solve the radiation problem. We furthermore characterize the set of all bounded solutions to the homogeneous problem. The case of a compact perturbation of the medium is included, the scattering problem and the limiting absorption principle are discussed.
| Zugehörige Institution(en) am KIT | Institut für Angewandte und Numerische Mathematik (IANM) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 08.2024 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000173765 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 30 S. |
| Serie | CRC 1173 Preprint ; 2024/19 |
| Projektinformation | SFB 1173/3 (DFG, DFG KOORD, SFB 1173/3) |
| Externe Relationen | Siehe auch |
| Schlagwörter | waveguide, Maxwell's equations, radiation condition, periodic media |