Please use this identifier to cite or link to this item:
http://doi.org/10.25358/openscience-311
Authors: | Gebauer, Bastian Hanke-Bourgeois, Martin Schneider, Christoph |
Title: | Sampling methods for low-frequency electromagnetic imaging |
Online publication date: | 19-Nov-2008 |
Year of first publication: | 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 |
ROR: | https://ror.org/023b0x485 |
DOI: | http://doi.org/10.25358/openscience-311 |
URN: | urn:nbn:de:hebis:77-17930 |
Version: | Published version |
Publication type: | Zeitschriftenaufsatz |
License: | In Copyright |
Information on rights of use: | https://rightsstatements.org/vocab/InC/1.0/ |
Journal: | Inverse problems 24 1 |
Pages or article number: | Art. 015007 |
Publisher place: | Bristol u.a. |
Issue date: | 2008 |
ISSN: | 1361-6420 0266-5611 |
Annotation: | Hanke-Bourgeois, Martin veröffentlicht unter: Hanke, Martin |
Appears in collections: | JGU-Publikationen |