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

Gintides, D; Sini, M

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	https://dspace.lib.ntua.gr/xmlui/handle/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