Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-307
Authors: Gebauer, Bastian
Kirsch, Andreas
Hanke-Bourgeois, Martin
Muniz, Wagner
Schneider, Christoph
Title: A sampling method for detecting buried objects using electromagnetic scattering
Online publication date: 25-Nov-2008
Year of first publication: 2005
Language: english
Abstract: We consider a simple (but fully three-dimensional) mathematical model for the electromagnetic exploration of buried, perfect electrically conducting objects within the soil underground. Moving an electric device parallel to the ground at constant height in order to generate a magnetic field, we measure the induced magnetic field within the device, and factor the underlying mathematics into a product of three operations which correspond to the primary excitation, some kind of reflection on the surface of the buried object(s) and the corresponding secondary excitation, respectively. Using this factorization we are able to give a justification of the so-called sampling method from inverse scattering theory for this particular set-up.
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-307
URN: urn:nbn:de:hebis:77-17692
Version: Published version
Publication type: Zeitschriftenaufsatz
License: In Copyright
Information on rights of use: https://rightsstatements.org/vocab/InC/1.0/
Journal: Inverse problems
21
Pages or article number: 2035
2050
Publisher place: Bristol u.a.
Issue date: 2005
ISSN: 1361-6420
0266-5611
Annotation: Hanke-Bourgeois, Martin veröffentlicht unter: Hanke, Martin
Appears in collections:JGU-Publikationen

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