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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 ,
Laurent Bernard ,
Mohammed Serhir ,
Lionel Pichon  and
Dominique Lesselier
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
*
ae-mail: mehdi.benhamouche@supelec.fr
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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
Information
The European Physical Journal - Applied Physics , Volume 64 , Issue 2 , November 2013 , 24512
Copyright
© EDP Sciences, 2013

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Footnotes

*

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

References

Xu, X., Miller, E.L., Rappaport, C.M., IEEE Trans. Geosci. Remote Sens. 41, 1804 (2003)
Ammari, H., Garapon, P., Guadarrama Bustos, L., Kang, H., J. Differ. Equ. 249, 1579 (2010)CrossRef
Ammari, H., Garnier, J., Sølna, K., Waves in Random & Complex Media 22, 40 (2012)CrossRef
Langenberg, K.J., Mayer, K., Marklein, R., Cem. Conc. Comp. 28, 370 (2006)CrossRef
Langenberg, K.J., Mayer, K., Zimmer, A., Nondestructive evaluation of embedded structures in concrete: modeling and tomographic imaging, in URSI EMTS, Pisa, Italy, 2004 Google Scholar
Fink, M., Cassereau, D., Derode, A., Prada, C., Roux, P., Tanter, M., Thomas, J.-L., Wu, F., Rept. Progr. Phys. 63, 1933 (2000)CrossRef
Derode, A., Roux, P., Fink, M., Phys. Rev. Lett. 75, 4206 (1995)CrossRef
Tortel, H., Micolau, G., Saillard, M., J. Electromagn. Waves Appl. 13, 687 (1999)CrossRef
Yavuz, M.E., Teixeira, F.L., IEEE Antennas Wirel. Propag. Lett. 4, 43 (2005)CrossRef
Kosmas, P., Rappaport, C.M., Bishop, E., IEEE Trans. Microwave Theor. Tech. 52, 1890 (2004)CrossRef
Ammari, H., Vogelius, M.S., Volkov, D., Journal de Mathématiques Pures et Appliquées 80, 769 (2001)CrossRef
Gdoura, S., Wahab, A., Lesselier, D., J. Phys.: Conf. Ser. 386, 012010 (2012)
Xiao, S.-Q, Chen, J., Wang, B.-Z., Liu, X.F., PIER 1, 329 (2007)CrossRef
Davy, M., De Rosny, M., Joly, J.-C., Fink, M., C. R. Phys. 11, 37 (2010)CrossRef
Maaref, N., Millot, P., Ferrières, X., Pichot, C., Picon, O., PIER 1, 59 (2008)CrossRef
Bellomo, L., Belkebir, K., Saillard, M., Pioch, S., Chaumet, P., Inverse scattering using a time reversal RADAR, in 2010 URSI International Symposium on Electromagnetic Theory (EMTS), Berlin, Germany, 2010, pp. 381–384 Google Scholar
Benhamouche, M., Bernard, L., Pichon, L., Lesselier, D., IEEE Trans. Magn. 48, 359 (2012)CrossRef
Neyrat, M., PhD thesis, Faculté des Sciences et Techniques XLIM – Département OSA, Université de Limoges, France, 2009 Google Scholar
Weiland, T., Munteanu, I., State of the art and future in modeling RF components, in EuCAP 2006, Nice, France, 2006, p. 6.1 Google Scholar
Bossavit, A., PIER 32, 45 (2001)CrossRef
Marrone, M., PIER 32, 317 (2001)CrossRef
Bernard, L., Pichon, L., Eur. Phys. J. Appl. Phys. 52, 23307 (2010)CrossRef
Clemens, M., Weiland, T., PIER 32, 65 (2001)CrossRef
Bernard, L., Torrado, R.R., Pichon, L., IEEE Trans. Magn. 46, 3492 (2010)CrossRef