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. Furthermore, we characterize the set of all bounded solutions to the homogeneous problem. The case of a compact perturbation of the medium is included, and the scattering problem and the limiting absorption principle are discussed.
| Zugehörige Institution(en) am KIT | Fakultät für Mathematik (MATH) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 06.2025 |
| Sprache | Englisch |
| Identifikator | ISSN: 0003-9527, 1432-0673 KITopen-ID: 1000181531 |
| Erschienen in | Archive for Rational Mechanics and Analysis |
| Verlag | Springer |
| Band | 249 |
| Heft | 3 |
| Seiten | 25 |
| Vorab online veröffentlicht am | 10.04.2025 |
| Nachgewiesen in | OpenAlex Dimensions Web of Science Scopus |