كتاب
A radiation condition arizing from the limiting absorption principle for a closed full- or half-waveguide problem
| العنوان: | A radiation condition arizing from the limiting absorption principle for a closed full- or half-waveguide problem |
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| المؤلفون: | Kirsch, Andreas, Lechleiter, Armin |
| المصدر: | ISSN: 2365-662X. |
| بيانات النشر: | Karlsruher Institut für Technologie |
| سنة النشر: | 2017 |
| المجموعة: | KITopen (Karlsruhe Institute of Technologie) |
| مصطلحات موضوعية: | wave propagation, closed waveguide, radiation condition, periodic structure, limiting absorption principle, ddc:510, Mathematics, info:eu-repo/classification/ddc/510 |
| الوصف: | In this paper we consider the propagation of waves in a closed full- or half-waveguide where the index of refraction is periodic along the axis of the waveguide. Motivated by the limiting absorption principle, proven in the Appendix by a functional analytic perturbation theorem, we formulate a radiation condition which assures uniqueness of a solution and allows the existence of propagating modes. Our approach is quite different to the known one as, e.g., considered in [6] and allows an extension to open wave guides (see [10]). After application of the Floquet-Bloch transform we consider the Floquet-Bloch variable α as a parameter in the resulting quasi-periodic boundary value problem and study the behaviour of the solution when α tends to an exceptional value by a singular perturbation result which we have found in [4]. |
| نوع الوثيقة: | book report |
| وصف الملف: | application/pdf |
| اللغة: | English |
| العلاقة: | CRC 1173; info:eu-repo/semantics/altIdentifier/issn/2365-662X; https://publikationen.bibliothek.kit.edu/1000071358Test; https://publikationen.bibliothek.kit.edu/1000071358/4218313Test; https://doi.org/10.5445/IR/1000071358Test; http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:swb:90-713587Test |
| DOI: | 10.5445/IR/1000071358 |
| الإتاحة: | https://doi.org/10.5445/IR/1000071358Test https://publikationen.bibliothek.kit.edu/1000071358Test https://publikationen.bibliothek.kit.edu/1000071358/4218313Test http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:swb:90-713587Test |
| حقوق: | KITopen License, https://publikationen.bibliothek.kit.edu/kitopen-lizenzTest ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.FD07017A |
| قاعدة البيانات: | BASE |
| DOI: | 10.5445/IR/1000071358 |
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