Inverse scattering using a variational principle

Ladas, KT; Maniatis, TA; Uzunoglu, NK

dc.contributor.author	Ladas, KT	en
dc.contributor.author	Maniatis, TA	en
dc.contributor.author	Uzunoglu, NK	en
dc.date.accessioned	2014-03-01T01:12:02Z
dc.date.available	2014-03-01T01:12:02Z
dc.date.issued	1996	en
dc.identifier.issn	0920-5071	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11922
dc.subject	Inverse Scattering	en
dc.subject	Variational Principle	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Physics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	BORN ITERATIVE METHOD	en
dc.subject.other	DIFFRACTION TOMOGRAPHY	en
dc.subject.other	RECONSTRUCTION	en
dc.title	Inverse scattering using a variational principle	en
heal.type	journalArticle	en
heal.identifier.primary	10.1163/156939396X00180	en
heal.identifier.secondary	http://dx.doi.org/10.1163/156939396X00180	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	A variational principle for the scattering amplitude is applied to obtain a relationship, in the Fourier domain, between the scattering potential and the scattered field recorded over a measurement line outside the potential. This relationship leads to a novel iterative reconstruction algorithm for recovering the distribution of the index of refraction from measurements of the scattered field. The proposed technique uses and builds upon the well-known filtered backpropagation algorithm of diffraction tomography. Computer simulations are presented that compare the reconstructions obtained with the proposed algorithm to the ones obtained with Born's approximation.	en
heal.publisher	VSP BV	en
heal.journalName	Journal of Electromagnetic Waves and Applications	en
dc.identifier.doi	10.1163/156939396X00180	en
dc.identifier.isi	ISI:A1996TV48000001	en
dc.identifier.volume	10	en
dc.identifier.issue	1	en
dc.identifier.spage	3	en
dc.identifier.epage	17	en