Handle URI:
http://hdl.handle.net/10754/597430
Title:
A two-stage method for inverse medium scattering
Authors:
Ito, Kazufumi; Jin, Bangti; Zou, Jun
Abstract:
We present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from noisy near-field scattered data. The approach consists of two stages, one pruning step of detecting the scatterer support, and one resolution enhancing step with nonsmooth mixed regularization. The first step is strictly direct and of sampling type, and it faithfully detects the scatterer support. The second step is an innovative application of nonsmooth mixed regularization, and it accurately resolves the scatterer size as well as intensities. The nonsmooth model can be efficiently solved by a semi-smooth Newton-type method. Numerical results for two- and three-dimensional examples indicate that the new approach is accurate, computationally efficient, and robust with respect to data noise. © 2012 Elsevier Inc.
Citation:
Ito K, Jin B, Zou J (2013) A two-stage method for inverse medium scattering. Journal of Computational Physics 237: 211–223. Available: http://dx.doi.org/10.1016/j.jcp.2012.12.004.
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
Mar-2013
DOI:
10.1016/j.jcp.2012.12.004
Type:
Article
ISSN:
0021-9991
Sponsors:
We are grateful to two anonymous referees for their thoughtful comments, which have improved the quality of the paper. The work of BJ is supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST), and that of JZ is substantially supported by Hong Kong RGC grants (projects 405110 and 404611).
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Full metadata record

DC FieldValue Language
dc.contributor.authorIto, Kazufumien
dc.contributor.authorJin, Bangtien
dc.contributor.authorZou, Junen
dc.date.accessioned2016-02-25T12:33:05Zen
dc.date.available2016-02-25T12:33:05Zen
dc.date.issued2013-03en
dc.identifier.citationIto K, Jin B, Zou J (2013) A two-stage method for inverse medium scattering. Journal of Computational Physics 237: 211–223. Available: http://dx.doi.org/10.1016/j.jcp.2012.12.004.en
dc.identifier.issn0021-9991en
dc.identifier.doi10.1016/j.jcp.2012.12.004en
dc.identifier.urihttp://hdl.handle.net/10754/597430en
dc.description.abstractWe present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from noisy near-field scattered data. The approach consists of two stages, one pruning step of detecting the scatterer support, and one resolution enhancing step with nonsmooth mixed regularization. The first step is strictly direct and of sampling type, and it faithfully detects the scatterer support. The second step is an innovative application of nonsmooth mixed regularization, and it accurately resolves the scatterer size as well as intensities. The nonsmooth model can be efficiently solved by a semi-smooth Newton-type method. Numerical results for two- and three-dimensional examples indicate that the new approach is accurate, computationally efficient, and robust with respect to data noise. © 2012 Elsevier Inc.en
dc.description.sponsorshipWe are grateful to two anonymous referees for their thoughtful comments, which have improved the quality of the paper. The work of BJ is supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST), and that of JZ is substantially supported by Hong Kong RGC grants (projects 405110 and 404611).en
dc.publisherElsevier BVen
dc.subjectDirect sampling methoden
dc.subjectInverse medium scattering problemen
dc.subjectMixed regularizationen
dc.subjectReconstruction algorithmen
dc.subjectSemi-smooth Newton methoden
dc.titleA two-stage method for inverse medium scatteringen
dc.typeArticleen
dc.identifier.journalJournal of Computational Physicsen
dc.contributor.institutionNorth Carolina State University, Raleigh, United Statesen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionChinese University of Hong Kong, Hong Kong, Chinaen
kaust.grant.numberKUS-C1-016-04en
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