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 |