Scattering of time harmonic electromagnetic plane waves by perfectly conducting diffraction gratings
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1694 | |
dc.contributor.author | Hu, Guanghui | |
dc.contributor.author | Rathsfeld, Andreas | |
dc.date.accessioned | 2016-03-24T17:38:06Z | |
dc.date.available | 2019-06-28T14:00:23Z | |
dc.date.issued | 2012 | |
dc.description.abstract | Consider scattering of time-harmonic lectromagnetic plane waves by a doubly periodic surface in R^3. The medium above the surface is supposed to be homogeneous and isotropic with a constant dielectric coefficient, while below is a perfectly conducting material. This paper is concerned with the existence of quasiperiodic solutions for any frequency of incidence. Based on an equivalent variational formulation established by the mortar technique of Nitsche, we verify the existence of solutions for a broad class of incident waves including plane waves, under the assumption that the grating profile is a Lipschitz biperiodic surface. Our solvability result covers the resonance case where a Rayleigh frequency is allowed. Non-uniqueness examples are also presented in the resonance case and the TE or TM polarization case for classical gratings. | |
dc.description.version | publishedVersion | eng |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/1650 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/4662 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin: Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | 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. | ger |
dc.rights.license | 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. | eng |
dc.subject.ddc | 530 | |
dc.subject.other | Electromagnetic scattering | eng |
dc.subject.other | diffraction gratings | eng |
dc.subject.other | variational approach | eng |
dc.subject.other | mortar technique | eng |
dc.subject.other | non-uniqueness | eng |
dc.title | Scattering of time harmonic electromagnetic plane waves by perfectly conducting diffraction gratings | |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Physik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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