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Authors: Gebauer, Bastian
Hanke-Bourgeois, Martin
Schneider, Christoph
Title: Sampling methods for low-frequency electromagnetic imaging
Online publication date: 19-Nov-2008
Language: english
Abstract: For the detection of hidden objects by low-frequency electromagnetic imaging the Linear Sampling Method works remarkably well despite the fact that the rigorous mathematical justification is still incomplete. In this work, we give an explanation for this good performance by showing that in the low-frequency limit the measurement operator fulfills the assumptions for the fully justified variant of the Linear Sampling Method, the so-called Factorization Method. We also show how the method has to be modified in the physically relevant case of electromagnetic imaging with divergence-free currents. We present numerical results to illustrate our findings, and to show that similar performance can be expected for the case of conducting objects and layered backgrounds.
DDC: 510 Mathematik
510 Mathematics
Institution: Johannes Gutenberg-Universität Mainz
Department: FB 08 Physik, Mathematik u. Informatik
Place: Mainz
URN: urn:nbn:de:hebis:77-17930
Version: Published version
Publication type: Zeitschriftenaufsatz
License: in Copyright
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Journal: Inverse problems
Pages or article number: Art. 015007
Publisher place: Bristol u.a.
Issue date: 2008
ISSN: 1361-6420
Annotation: Hanke-Bourgeois, Martin veröffentlicht unter: Hanke, Martin
Appears in collections:JGU-Publikationen

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