The factorization method in inverse elastic scattering from penetrable bodies

Charalambopoulos, A; Kirsch, A; Anagnostopoulos, KA; Gintides, D; Kiriaki, K

dc.contributor.author	Charalambopoulos, A	en
dc.contributor.author	Kirsch, A	en
dc.contributor.author	Anagnostopoulos, KA	en
dc.contributor.author	Gintides, D	en
dc.contributor.author	Kiriaki, K	en
dc.date.accessioned	2014-03-01T01:27:25Z
dc.date.available	2014-03-01T01:27:25Z
dc.date.issued	2007	en
dc.identifier.issn	0266-5611	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18440
dc.subject	Elastic Scattering	en
dc.subject	Factorization Method	en
dc.subject	Plane Waves	en
dc.subject	Point of View	en
dc.subject	Rigid Body	en
dc.subject	Shape Reconstruction	en
dc.subject	Theoretical Framework	en
dc.subject	Transmission Problem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	Elastohydrodynamics	en
dc.subject.other	Harmonic analysis	en
dc.subject.other	Inverse problems	en
dc.subject.other	Wave equations	en
dc.subject.other	Wave transmission	en
dc.subject.other	Factorization method	en
dc.subject.other	Inverse elastic scattering	en
dc.subject.other	Inverse transmission	en
dc.subject.other	Shape reconstruction	en
dc.subject.other	Elastic scattering	en
dc.title	The factorization method in inverse elastic scattering from penetrable bodies	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0266-5611/23/1/002	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0266-5611/23/1/002	en
heal.identifier.secondary	002	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	The present work is concerned with the extension of the factorization method to the inverse elastic scattering problem by penetrable isotropic bodies embedded in an isotropic host environment for time-harmonic plane wave incidence. Although the former method has been successfully employed for the shape reconstruction problem in the field of elastodynamic scattering by rigid bodies or cavities, no corresponding results have been recorded, so far, for the very interesting (both from a theoretical and a practical point of view) case of isotropic elastic inclusions. This paper aims at closing this gap by developing the theoretical framework which is necessary for the application of the factorization method to the inverse transmission problem in elastodynamics. As in the previous works referring to the particular reconstruction method, the main outcome is the construction of a binary criterion which determines whether a given point is inside or outside the scattering obstacle by using only the spectral data of the far-field operator. © 2007 IOP Publishing Ltd.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Inverse Problems	en
dc.identifier.doi	10.1088/0266-5611/23/1/002	en
dc.identifier.isi	ISI:000244177100002	en
dc.identifier.volume	23	en
dc.identifier.issue	1	en
dc.identifier.spage	27	en
dc.identifier.epage	51	en