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Localization of metal targets by time reversal of electromagnetic waves*

3D-numerical and experimental study

Published online by Cambridge University Press:  06 November 2013

Mehdi Benhamouche*
Affiliation:
Laboratoire de Génie Electrique de Paris UMR 8507 CNRS, SUPELEC, Université Paris-Sud, UPMC, 11 rue Joliot-Curie, 91192 Gif-sur-Yvette Cedex, France Laboratoire des Signaux et Systèmes UMR 8506 CNRS, SUPELEC, Université Paris-Sud, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette Cedex, France
Laurent Bernard
Affiliation:
Laboratoire de Génie Electrique de Paris UMR 8507 CNRS, SUPELEC, Université Paris-Sud, UPMC, 11 rue Joliot-Curie, 91192 Gif-sur-Yvette Cedex, France
Mohammed Serhir
Affiliation:
Laboratoire des Signaux et Systèmes UMR 8506 CNRS, SUPELEC, Université Paris-Sud, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette Cedex, France
Lionel Pichon
Affiliation:
Laboratoire de Génie Electrique de Paris UMR 8507 CNRS, SUPELEC, Université Paris-Sud, UPMC, 11 rue Joliot-Curie, 91192 Gif-sur-Yvette Cedex, France
Dominique Lesselier
Affiliation:
Laboratoire des Signaux et Systèmes UMR 8506 CNRS, SUPELEC, Université Paris-Sud, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette Cedex, France
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Abstract

This paper proposes a criterion for locating obstacles by time reversal (TR) of electromagnetic (EM) waves based on the analysis of the density of EM energy map in time domain. Contrarily to a monochromatic study of the TR, the wide-band approach requires to determine the instant of the wave focus. This enables us to locate the focal spots that are indicative of the positions. The criterion proposed is compared to the inverse of the minimum entropy criterion as used in the literature [X. Xu, E.L. Miller, C.M. Rappaport, IEEE Trans. Geosci. Remote Sens. 41, 1804 (2003)]. An application for the localization of 3D metal targets is proposed using finite integration technique (FIT) as computational tool at the modeling stage. An experimental validation is presented for canonical three-dimensional configurations with two kinds of metal objects.

Type
Research Article
Copyright
© EDP Sciences, 2013

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Footnotes

*

Contribution to the Topical Issue “Numelec 2012”, Edited by Adel Razek.

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