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Article: Low-frequency detection of two-dimensional buried objects using high-order extended Born approximations
Title | Low-frequency detection of two-dimensional buried objects using high-order extended Born approximations |
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Authors | |
Issue Date | 2004 |
Publisher | Institute 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? |
Abstract | Linear 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 Identifier | http://hdl.handle.net/10722/182699 |
ISSN | 2023 Impact Factor: 2.0 2023 SCImago Journal Rankings: 1.185 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Cui, TJ | en_US |
dc.contributor.author | Qin, Y | en_US |
dc.contributor.author | Wang, GL | en_US |
dc.contributor.author | Chew, WC | en_US |
dc.date.accessioned | 2013-05-02T05:16:30Z | - |
dc.date.available | 2013-05-02T05:16:30Z | - |
dc.date.issued | 2004 | en_US |
dc.identifier.citation | Inverse Problems, 2004, v. 20 n. 6, p. S41-S62 | en_US |
dc.identifier.issn | 0266-5611 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182699 | - |
dc.description.abstract | Linear 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.language | eng | en_US |
dc.publisher | Institute of Physics Publishing. The Journal's web site is located at http://www.iop.org/journals/ip | en_US |
dc.relation.ispartof | Inverse Problems | en_US |
dc.title | Low-frequency detection of two-dimensional buried objects using high-order extended Born approximations | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chew, WC: wcchew@hku.hk | en_US |
dc.identifier.authority | Chew, WC=rp00656 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1088/0266-5611/20/6/S04 | en_US |
dc.identifier.scopus | eid_2-s2.0-10844256671 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-10844256671&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 20 | en_US |
dc.identifier.issue | 6 | en_US |
dc.identifier.spage | S41 | en_US |
dc.identifier.epage | S62 | en_US |
dc.identifier.isi | WOS:000226178000005 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Cui, TJ=7103095470 | en_US |
dc.identifier.scopusauthorid | Qin, Y=7403100502 | en_US |
dc.identifier.scopusauthorid | Wang, GL=7407150843 | en_US |
dc.identifier.scopusauthorid | Chew, WC=36014436300 | en_US |
dc.identifier.issnl | 0266-5611 | - |