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dc.contributor.authorHu, Guanghui
dc.contributor.authorSalo, Mikko
dc.contributor.authorVesalainen, Esa
dc.date.accessioned2016-11-21T12:17:14Z
dc.date.available2016-11-21T12:17:14Z
dc.date.issued2016
dc.identifier.citationHu, G., Salo, M., & Vesalainen, E. (2016). Shape identification in inverse medium scattering problems with a single far-field pattern. <i>SIAM Journal on Mathematical Analysis</i>, <i>48</i>(1), 152-165. <a href="https://doi.org/10.1137/15M1032958" target="_blank">https://doi.org/10.1137/15M1032958</a>
dc.identifier.otherCONVID_25615551
dc.identifier.otherTUTKAID_69551
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/51944
dc.description.abstractConsider time-harmonic acoustic scattering from a bounded penetrable obstacle D ⊂ R N embedded in a homogeneous background medium. The index of refraction characterizing the material inside D is supposed to be Hölder continuous near the corners. If D ⊂ R 2 is a convex polygon, we prove that its shape and location can be uniquely determined by the far-field pattern incited by a single incident wave at a fixed frequency. In dimensions N ≥ 3, the uniqueness applies to penetrable scatterers of rectangular type with additional assumptions on the smoothness of the contrast. Our arguments are motivated by recent studies on the absence of nonscattering wavenumbers in domains with corners. As a byproduct, we show that the smoothness conditions in previous corner scattering results are only required near the corners.
dc.language.isoeng
dc.publisherSociety for Industrial and Applied Mathematics
dc.relation.ispartofseriesSIAM Journal on Mathematical Analysis
dc.subject.otherinverse medium scattering
dc.subject.othernonscattering wavenumbers
dc.subject.othershape identification
dc.titleShape identification in inverse medium scattering problems with a single far-field pattern
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201611184676
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2016-11-18T13:15:37Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange152-165
dc.relation.issn0036-1410
dc.relation.numberinseries1
dc.relation.volume48
dc.type.versionacceptedVersion
dc.rights.copyright© 2016, Society for Industrial and Applied Mathematics. This is a final draft version of an article whose final and definitive form has been published by Society for Industrial and Applied Mathematics. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1137/15M1032958


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