The linear sampling method in a lossy background: an energy perspective

In this article we propose a physical approach to the linear sampling method (LSM) for a possibly inhomogeneous and lossy background, whereby the modified far-field equation at the basis of the method can be regarded as a constraint on the power fluxes carried by the Poynting vector associated with...

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Bibliographic Details
Published inInverse problems in science and engineering Vol. 19; no. 7; pp. 963 - 984
Main Authors Aramini, R., Brignone, M., Caviglia, G., Massa, A., Piana, M.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.10.2011
Subjects
Approximation
Electromagnetism
Engineering Sciences
Existence theorems
Fluxes
Inverse problems
linear sampling method
Mathematical analysis
qualitative inverse scattering
Sampling methods
Signal and Image processing
Theorems
Vectors (mathematics)
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Summary:In this article we propose a physical approach to the linear sampling method (LSM) for a possibly inhomogeneous and lossy background, whereby the modified far-field equation at the basis of the method can be regarded as a constraint on the power fluxes carried by the Poynting vector associated with the scattered field. Under appropriate assumptions on the flow lines of this Poynting vector, the general theorem inspiring the LSM (and concerning the existence of approximate solutions to the modified far-field equation) can be reformulated in a different way, which is more appropriate to explain the performance of the method.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1741-5977
1741-5985
DOI:10.1080/17415977.2011.565875