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Article: Comparison of the born iterative method and tarantola's method for an electromagnetic time-domain inverse problem

TitleComparison of the born iterative method and tarantola's method for an electromagnetic time-domain inverse problem
Authors
Issue Date1991
PublisherJohn Wiley & Sons, Inc. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/37666
Citation
International Journal Of Imaging Systems And Technology, 1991, v. 3 n. 4, p. 318-333 How to Cite?
AbstractTwo methods of solving the nonlinear two-dimensional electromagnetic inverse scattering problem in the time domain are considered. These are the Born iterative method and the method originally proposed by Tarantola for the seismic reflection inverse problems. The former is based on Born-type iterations on an integral equation, whereby at each iteration the problem is linearized, and its solution is found via a regularized optimization. The latter also uses an iterative method to solve the nonlinear system of equations. Although it linearizes the problem at each stage as well, no optimization is carried out at each iteration; rather the problem as a whole is posed as a (regularized) optimization. Each method is described briefly and its computational complexity is analyzed. Tarantola's method is shown to have a lower numerical complexity compared to the Born iterative method for each iteration, but in the examples considered, required more iterations to converge. Both methods perform well when inverting a smooth profile; however, the Born iterative method gave better results in resolving localized point scatterers.
Persistent Identifierhttp://hdl.handle.net/10722/182517
ISSN
2015 Impact Factor: 0.571
2015 SCImago Journal Rankings: 0.620

 

DC FieldValueLanguage
dc.contributor.authorMoghaddam, Men_US
dc.contributor.authorChew, WCen_US
dc.contributor.authorOristagllo, Men_US
dc.date.accessioned2013-05-02T05:15:42Z-
dc.date.available2013-05-02T05:15:42Z-
dc.date.issued1991en_US
dc.identifier.citationInternational Journal Of Imaging Systems And Technology, 1991, v. 3 n. 4, p. 318-333en_US
dc.identifier.issn0899-9457en_US
dc.identifier.urihttp://hdl.handle.net/10722/182517-
dc.description.abstractTwo methods of solving the nonlinear two-dimensional electromagnetic inverse scattering problem in the time domain are considered. These are the Born iterative method and the method originally proposed by Tarantola for the seismic reflection inverse problems. The former is based on Born-type iterations on an integral equation, whereby at each iteration the problem is linearized, and its solution is found via a regularized optimization. The latter also uses an iterative method to solve the nonlinear system of equations. Although it linearizes the problem at each stage as well, no optimization is carried out at each iteration; rather the problem as a whole is posed as a (regularized) optimization. Each method is described briefly and its computational complexity is analyzed. Tarantola's method is shown to have a lower numerical complexity compared to the Born iterative method for each iteration, but in the examples considered, required more iterations to converge. Both methods perform well when inverting a smooth profile; however, the Born iterative method gave better results in resolving localized point scatterers.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons, Inc. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/37666en_US
dc.relation.ispartofInternational Journal of Imaging Systems and Technologyen_US
dc.titleComparison of the born iterative method and tarantola's method for an electromagnetic time-domain inverse problemen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0026404227en_US
dc.identifier.volume3en_US
dc.identifier.issue4en_US
dc.identifier.spage318en_US
dc.identifier.epage333en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridMoghaddam, M=7004934627en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.scopusauthoridOristagllo, M=6504615320en_US

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