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Uniqueness in determining refractive idices by formally-determined far-field data
dc.contributor.author | Hu, Guanghui | |
dc.contributor.author | Liu, Hongyu | |
dc.date.accessioned | 2016-12-20T22:47:23Z | |
dc.date.available | 2019-06-28T08:02:13Z | |
dc.date.issued | 2013 | |
dc.description.abstract | We present two uniqueness results for the inverse problem of determining an index of refraction by the corresponding acoustic far-field measurement encoded into the scattering amplitude. The first one is a local uniqueness in determining a variable index of refraction by the fixed incident-direction scattering amplitude. The inverse problem is formally posed with such measurement data. The second one is a global uniqueness in determining a constant refractive index by a single far-field measurement. The arguments are based on the study of certain nonlinear and non-selfadjoint interior transmission eigenvalue problems. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1765 | |
dc.language.iso | eng | eng |
dc.publisher | Cambridge : arXiv | eng |
dc.relation.uri | https://arxiv.org/abs/1308.5955 | |
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.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.subject.ddc | 510 | eng |
dc.title | Uniqueness in determining refractive idices by formally-determined far-field data | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |