Comptes Rendus
Shared issues of wavefield inversion and illustrations in 3-D diffusive electromagnetics
[Questions partagées en inversion des ondes et illustrations en régime de diffusion de l'électromagnétisme 3-D]
Comptes Rendus. Physique, Volume 6 (2005) no. 6, pp. 618-625.

L'évaluation électromagnétique non-destructive d'objets complexes impose que nous soyons capables de déchiffrer les données qui résultent de leur interaction avec des sources imposées. Cette tâche est cruciale en ingénierie civile, environnementale et médicale, pour nommer d'évidents domaines, aussi bien que pour la sécurité et qualité de processus industriels variés dans des secteurs clés de l'énergie et des transports, par exemple. Cette brève contribution ne fait pas revue de la considérable variété de thèmes et des nombreuses applications de la science de l'inversion, mais tente de mettre en avant un certain nombre de points qui semblent suffisamment communs à cette science pour être rappelés. Deux illustrations et quelques références principales estimées de bon intérêt parmi la littérature toujours croissante sont données.

Electromagnetic non-destructive evaluation of complex objects means that one has to decipher data which result from their interaction with imposed sources. This task is crucial in civil, environmental and medical engineering, to quote obvious fields, as well as for safety and reliability of industrial processes of various kinds in key energy and transportation sectors, for example. This short contribution does not attempt to review the huge variety of themes and the many applications of the science of inversion, but aims at emphasizing a number of points that seem common enough to this science to be worthwhile to be reviewed. Two illustrations and a few main references thought of good interest among the ever increasing literature are given.

Publié le :
DOI : 10.1016/j.crhy.2005.06.012
Keywords: Wavefield, Inversion
Mot clés : Champs et ondes, Inversion
Dominique Lesselier 1 ; Marc Lambert 1 ; Gaële Perrusson 1

1 Département de recherche en électromagnétisme, laboratoire des signaux et systèmes (CNRS-SUPÉLEC-UPS), plateau de Moulon, 3, rue Joliot-Curie, 91192 Gif-sur-Yvette cedex, France
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Dominique Lesselier; Marc Lambert; Gaële Perrusson. Shared issues of wavefield inversion and illustrations in 3-D diffusive electromagnetics. Comptes Rendus. Physique, Volume 6 (2005) no. 6, pp. 618-625. doi : 10.1016/j.crhy.2005.06.012. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2005.06.012/

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[2] Inverse Probl., 18 (2002), pp. 1733-1958

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[7] D. Lesselier; A. Razek Eddy current scattering and inverse scattering, Green's integral and variational formulations (R. Pike; P.C. Sabatier, eds.), Scattering. Scattering and Inverse Scattering in Pure and Applied Science: Part 1—Scattering of Waves by Macroscopic Targets, Academic Press, London, 2002, pp. 486-507

[8] Inverse Probl., 20 (2004), p. S1-S256

[9] Inverse Probl., 16 (2000), pp. 1083-1376

[10] G. Perrusson; D. Lesselier; M. Lambert; B. Bourgeois; A. Charalambopoulos; G. Dassios Conductive masses in a half-space Earth in the diffusive regime: Fast hybrid modeling of a low-contrast ellipsoid, IEEE Trans. Geosci. Remote Sens., Volume 38 (2000), pp. 1585-1599

[11] A. Charalambopoulos; G. Dassios; G. Perrusson; D. Lesselier A novel approach to the low-frequency scattering problem: the localized nonlinear approximation in ellipsoidal geometry, Internat. J. Engrg. Sci., Volume 40 (2002), pp. 67-91

[12] G. Perrusson; D. Lesselier; P. Vafeas; G. Kamvyssas; G. Dassios Low-frequency electromagnetic modeling and retrieval of simple orebodies in a conductive Earth (H.G.W. Begehr; R.P. Gilbert; M.W. Wong, eds.), Progress in Analysis, World Scientific, London, 2003, pp. 1413-1422

[13] P. Vafeas, G. Perrusson, D. Lesselier, Low-frequency solution for a perfectly conducting sphere in a conductive medium with dipolar excitation, in: J.A. Kong (Ed.), PIER Series, vol. 49, 2004, pp. 87–111

[14] J. Pávó, D. Prémel, D. Lesselier, Application of volumetric and surface defect models for the analysis of eddy current nondestructive testing problems, in: URSI Internat. Symp. Electromagnetic Waves, Pise (2004), Proc. 400–402

[15] D. Dos Reis; M. Lambert; D. Lesselier Non-destructive evaluation of 3-D voids in a metal plate, Inverse Probl., Volume 18 (2002), pp. 1857-1871

[16] H. Ammari; H. Kang Reconstruction of Small Inclusions from Boundary Measurements, Springer, Berlin, 2004

[17] H. Ammari; E. Iakovleva; D. Lesselier A MUSIC algorithm for locating small inclusions buried in a half space from the scattering amplitude at a fixed frequency, (SIAM) Multiscale Model. Simul., Volume 3 (2005), pp. 597-628

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