Identification of obstacles using only the scattered p-waves or the scattered s-Waves

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dc.contributor.author Gintides, D en
dc.contributor.author Sini, M en
dc.date.accessioned 2014-03-01T02:09:19Z
dc.date.available 2014-03-01T02:09:19Z
dc.date.issued 2012 en
dc.identifier.issn 19308337 en
dc.identifier.uri http://hdl.handle.net/123456789/29807
dc.subject Inverse scattering problem en
dc.subject Linear elasticity en
dc.title Identification of obstacles using only the scattered p-waves or the scattered s-Waves en
heal.type journalArticle en
heal.identifier.primary 10.3934/ipi.2012.6.39 en
heal.identifier.secondary http://dx.doi.org/10.3934/ipi.2012.6.39 en
heal.publicationDate 2012 en
heal.abstract In this work, we are concerned with the inverse scattering by obstacles for the linearized, homogeneous and isotropic elastic model. We study the uniqueness issue of detecting smooth obstacles from the knowledge of elastic far field patterns. We prove that the 'pressure' parts of the far field patterns over all directions of measurements corresponding to all 'pressure' (or all 'shear') incident plane waves are enough to guarantee uniqueness. We also establish that the shear parts of the far field patterns corresponding to all the 'shear' (or all 'pressure') incident waves are also enough. This shows that any of the two difierent types of waves is enough to detect obstacles at a fixed frequency. The proof is reconstructive and it can be used to set up an algorithm to detect the obstacle from the mentioned data. © 2012 American Institute of Mathematical Sciences. en
heal.journalName Inverse Problems and Imaging en
dc.identifier.doi 10.3934/ipi.2012.6.39 en
dc.identifier.volume 6 en
dc.identifier.issue 1 en
dc.identifier.spage 39 en
dc.identifier.epage 55 en

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