A method for solving the inverse elastic scattering problem via low-frequency moments

Charalambopoulos, A; Kiriaki, K

dc.contributor.author	Charalambopoulos, A	en
dc.contributor.author	Kiriaki, K	en
dc.date.accessioned	2014-03-01T01:09:11Z
dc.date.available	2014-03-01T01:09:11Z
dc.date.issued	1993	en
dc.identifier.issn	0165-2125	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10863
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0027702776&partnerID=40&md5=20071df691e7523901c63688c0d5f15f	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.other	Elastic waves	en
dc.subject.other	Image reconstruction	en
dc.subject.other	Inverse problems	en
dc.subject.other	Linear algebra	en
dc.subject.other	Measurement errors	en
dc.subject.other	Polynomials	en
dc.subject.other	Cavity shape reconstruction	en
dc.subject.other	Inverse elastic scattering problem	en
dc.subject.other	Low-frequency moments	en
dc.subject.other	Rayleigh expansion	en
dc.subject.other	Tichonov regularization	en
dc.subject.other	Scattering	en
dc.title	A method for solving the inverse elastic scattering problem via low-frequency moments	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	In this work the reconstruction of the shape of a cavity in linear elasticity is examined. It is demostrated that if we work in the low-frequency region and the surface of the scatterer is polynomial then a finite number of low-frequency moments, as these quantities appear in the Rayleigh expansion of the scattering amplitudes, are needed to reconstruct the scatterer. The proposed method leads to the construction of a linear algebraic system, whose solution determines the scatterer's shape. A Tikhonov regularization scheme is presented to deal with measurement errors. © 1993.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Wave Motion	en
dc.identifier.isi	ISI:A1993MQ85500001	en
dc.identifier.volume	18	en
dc.identifier.issue	3	en
dc.identifier.spage	213	en
dc.identifier.epage	226	en