تقرير
Scattering of plane elastic waves by three-dimensional diffraction gratings
| العنوان: | Scattering of plane elastic waves by three-dimensional diffraction gratings |
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| المؤلفون: | Elschner, Johannes, Hu, Guanghui |
| بيانات النشر: | Weierstraß-Institut für Angewandte Analysis und Stochastik |
| سنة النشر: | 2010 |
| مصطلحات موضوعية: | Elastic waves, diffraction gratings, Navier equation, variational formulation, ddc:510 |
| الوصف: | The reflection and transmission of a time-harmonic plane wave in an isotropic elastic medium by a three-dimensional diffraction grating is investigated. If the diffractive structure involves an impenetrable surface, we study the first, second, third and fourth kind boundary value problems for the Navier equation in an unbounded domain by the variational approach. Based on the Rayleigh expansions, a radiation condition for quasi-periodic solutions is proposed. Existence of solutions in Sobolev spaces is established if the grating profile is a two dimensional Lipschitz surface, while uniqueness is proved only for small frequencies or for all frequencies excluding a discrete set. Similar solvability results are obtained for multilayered transmission gratings in the case of an incident pressure wave. Moreover, by a periodic Rellich identity, uniqueness of the solution to the first kind (Dirichlet) boundary value problem is established for all frequencies under the assumption that the impenetrable surface is given by the graph of a Lipschitz function |
| نوع الوثيقة: | report |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 0946-8633 |
| العلاقة: | https://doi.org/10.34657/3127Test; https://oa.tib.eu/renate/handle/123456789/2570Test |
| DOI: | 10.34657/3127 |
| الإتاحة: | https://doi.org/10.34657/3127Test https://oa.tib.eu/renate/handle/123456789/2570Test |
| حقوق: | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. ; This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. ; frei zugänglich |
| رقم الانضمام: | edsbas.5407158A |
| قاعدة البيانات: | BASE |
| تدمد: | 09468633 |
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| DOI: | 10.34657/3127 |