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Article: Low-frequency detection of two-dimensional buried objects using high-order extended Born approximations

TitleLow-frequency detection of two-dimensional buried objects using high-order extended Born approximations
Authors
Issue Date2004
PublisherInstitute of Physics Publishing. The Journal's web site is located at http://www.iop.org/journals/ip
Citation
Inverse Problems, 2004, v. 20 n. 6, p. S41-S62 How to Cite?
AbstractLinear inverse scattering method based on the Born approximation has found wide applications in the on-site detection of buried objects, such as in diffraction tomography. However, the Born approximation becomes invalid when the contrast of targets is high, in which the multiple-scattering effect within the target is more important. To avoid solving the nonlinear inverse scattering problem for large-contrast objects, quasi-linear and modified quasi-linear approximations are proposed based on the extended Born approximation. In this paper, new formulations are derived for the inversion of large-contrast dielectric objects buried in a lossy earth using the idea of backconditioner and lumped-mass approximation. We have shown that the zeroth-order form of such formulations is just the well-known Born approximation, and the first-order form is completely equivalent to the extended Born approximation-based quasi-linear approximation. Hence, high-order approximations are proposed in this paper, which are given in closed forms. Using such approximations, good resolution images can be obtained for large-contrast objects by only solving a linear inverse scattering integral equation. Reconstruction examples show the validity and efficiency of the proposed formulae.
Persistent Identifierhttp://hdl.handle.net/10722/182699
ISSN
2015 Impact Factor: 1.651
2015 SCImago Journal Rankings: 1.462
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorCui, TJen_US
dc.contributor.authorQin, Yen_US
dc.contributor.authorWang, GLen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:30Z-
dc.date.available2013-05-02T05:16:30Z-
dc.date.issued2004en_US
dc.identifier.citationInverse Problems, 2004, v. 20 n. 6, p. S41-S62en_US
dc.identifier.issn0266-5611en_US
dc.identifier.urihttp://hdl.handle.net/10722/182699-
dc.description.abstractLinear inverse scattering method based on the Born approximation has found wide applications in the on-site detection of buried objects, such as in diffraction tomography. However, the Born approximation becomes invalid when the contrast of targets is high, in which the multiple-scattering effect within the target is more important. To avoid solving the nonlinear inverse scattering problem for large-contrast objects, quasi-linear and modified quasi-linear approximations are proposed based on the extended Born approximation. In this paper, new formulations are derived for the inversion of large-contrast dielectric objects buried in a lossy earth using the idea of backconditioner and lumped-mass approximation. We have shown that the zeroth-order form of such formulations is just the well-known Born approximation, and the first-order form is completely equivalent to the extended Born approximation-based quasi-linear approximation. Hence, high-order approximations are proposed in this paper, which are given in closed forms. Using such approximations, good resolution images can be obtained for large-contrast objects by only solving a linear inverse scattering integral equation. Reconstruction examples show the validity and efficiency of the proposed formulae.en_US
dc.languageengen_US
dc.publisherInstitute of Physics Publishing. The Journal's web site is located at http://www.iop.org/journals/ipen_US
dc.relation.ispartofInverse Problemsen_US
dc.titleLow-frequency detection of two-dimensional buried objects using high-order extended Born approximationsen_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.doi10.1088/0266-5611/20/6/S04en_US
dc.identifier.scopuseid_2-s2.0-10844256671en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-10844256671&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume20en_US
dc.identifier.issue6en_US
dc.identifier.spageS41en_US
dc.identifier.epageS62en_US
dc.identifier.isiWOS:000226178000005-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridCui, TJ=7103095470en_US
dc.identifier.scopusauthoridQin, Y=7403100502en_US
dc.identifier.scopusauthoridWang, GL=7407150843en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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