SPARSE ELECTROMAGNETIC IMAGING USING NONLINEAR LANDWEBER ITERATIONS

Handle URI:
http://hdl.handle.net/10754/593268
Title:
SPARSE ELECTROMAGNETIC IMAGING USING NONLINEAR LANDWEBER ITERATIONS
Authors:
Desmal, Abdulla ( 0000-0003-0861-8908 ) ; Bagci, Hakan ( 0000-0003-3867-5786 )
Abstract:
A scheme for efficiently solving the nonlinear electromagnetic inverse scattering problem on sparse investigation domains is described. The proposed scheme reconstructs the (complex) dielectric permittivity of an investigation domain from fields measured away from the domain itself. Least-squares data misfit between the computed scattered fields, which are expressed as a nonlinear function of the permittivity, and the measured fields is constrained by the L0/L1-norm of the solution. The resulting minimization problem is solved using nonlinear Landweber iterations, where at each iteration a thresholding function is applied to enforce the sparseness-promoting L0/L1-norm constraint. The thresholded nonlinear Landweber iterations are applied to several two-dimensional problems, where the ``measured'' fields are synthetically generated or obtained from actual experiments. These numerical experiments demonstrate the accuracy, efficiency, and applicability of the proposed scheme in reconstructing sparse profiles with high permittivity values.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
SPARSE ELECTROMAGNETIC IMAGING USING NONLINEAR LANDWEBER ITERATIONS 2015, 152:77 Progress In Electromagnetics Research
Publisher:
EMW Publishing
Journal:
Progress In Electromagnetics Research
Issue Date:
29-Jul-2015
DOI:
10.2528/PIER15052806
Type:
Article
ISSN:
1559-8985
Additional Links:
http://www.jpier.org/PIER/pier.php?paper=15052806
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorDesmal, Abdullaen
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2016-01-11T13:07:50Zen
dc.date.available2016-01-11T13:07:50Zen
dc.date.issued2015-07-29en
dc.identifier.citationSPARSE ELECTROMAGNETIC IMAGING USING NONLINEAR LANDWEBER ITERATIONS 2015, 152:77 Progress In Electromagnetics Researchen
dc.identifier.issn1559-8985en
dc.identifier.doi10.2528/PIER15052806en
dc.identifier.urihttp://hdl.handle.net/10754/593268en
dc.description.abstractA scheme for efficiently solving the nonlinear electromagnetic inverse scattering problem on sparse investigation domains is described. The proposed scheme reconstructs the (complex) dielectric permittivity of an investigation domain from fields measured away from the domain itself. Least-squares data misfit between the computed scattered fields, which are expressed as a nonlinear function of the permittivity, and the measured fields is constrained by the L0/L1-norm of the solution. The resulting minimization problem is solved using nonlinear Landweber iterations, where at each iteration a thresholding function is applied to enforce the sparseness-promoting L0/L1-norm constraint. The thresholded nonlinear Landweber iterations are applied to several two-dimensional problems, where the ``measured'' fields are synthetically generated or obtained from actual experiments. These numerical experiments demonstrate the accuracy, efficiency, and applicability of the proposed scheme in reconstructing sparse profiles with high permittivity values.en
dc.language.isoenen
dc.publisherEMW Publishingen
dc.relation.urlhttp://www.jpier.org/PIER/pier.php?paper=15052806en
dc.rightsArchived with thanks to Progress In Electromagnetics Researchen
dc.titleSPARSE ELECTROMAGNETIC IMAGING USING NONLINEAR LANDWEBER ITERATIONSen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalProgress In Electromagnetics Researchen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorDesmal, Abdullaen
kaust.authorBagci, Hakanen
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