A direct sampling method to an inverse medium scattering problem

Handle URI:
http://hdl.handle.net/10754/597255
Title:
A direct sampling method to an inverse medium scattering problem
Authors:
Ito, Kazufumi; Jin, Bangti; Zou, Jun
Abstract:
In this work we present a novel sampling method for time harmonic inverse medium scattering problems. It provides a simple tool to directly estimate the shape of the unknown scatterers (inhomogeneous media), and it is applicable even when the measured data are only available for one or two incident directions. A mathematical derivation is provided for its validation. Two- and three-dimensional numerical simulations are presented, which show that the method is accurate even with a few sets of scattered field data, computationally efficient, and very robust with respect to noises in the data. © 2012 IOP Publishing Ltd.
Citation:
Ito K, Jin B, Zou J (2012) A direct sampling method to an inverse medium scattering problem. Inverse Problems 28: 025003. Available: http://dx.doi.org/10.1088/0266-5611/28/2/025003.
Publisher:
IOP Publishing
Journal:
Inverse Problems
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
10-Jan-2012
DOI:
10.1088/0266-5611/28/2/025003
Type:
Article
ISSN:
0266-5611; 1361-6420
Sponsors:
The authors would like to thank two anonymous referees and the board member for their helpful and constructive comments, which have led to a much improved presentation of the results. The work of BJ was supported by award KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST), and that of JZ was substantially supported by Hong Kong RGC grants (projects 405110 and 404611).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorIto, Kazufumien
dc.contributor.authorJin, Bangtien
dc.contributor.authorZou, Junen
dc.date.accessioned2016-02-25T12:29:05Zen
dc.date.available2016-02-25T12:29:05Zen
dc.date.issued2012-01-10en
dc.identifier.citationIto K, Jin B, Zou J (2012) A direct sampling method to an inverse medium scattering problem. Inverse Problems 28: 025003. Available: http://dx.doi.org/10.1088/0266-5611/28/2/025003.en
dc.identifier.issn0266-5611en
dc.identifier.issn1361-6420en
dc.identifier.doi10.1088/0266-5611/28/2/025003en
dc.identifier.urihttp://hdl.handle.net/10754/597255en
dc.description.abstractIn this work we present a novel sampling method for time harmonic inverse medium scattering problems. It provides a simple tool to directly estimate the shape of the unknown scatterers (inhomogeneous media), and it is applicable even when the measured data are only available for one or two incident directions. A mathematical derivation is provided for its validation. Two- and three-dimensional numerical simulations are presented, which show that the method is accurate even with a few sets of scattered field data, computationally efficient, and very robust with respect to noises in the data. © 2012 IOP Publishing Ltd.en
dc.description.sponsorshipThe authors would like to thank two anonymous referees and the board member for their helpful and constructive comments, which have led to a much improved presentation of the results. The work of BJ was supported by award KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST), and that of JZ was substantially supported by Hong Kong RGC grants (projects 405110 and 404611).en
dc.publisherIOP Publishingen
dc.titleA direct sampling method to an inverse medium scattering problemen
dc.typeArticleen
dc.identifier.journalInverse Problemsen
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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