Linearized Cauchy Data Inversion Method for Two-Dimensional Buried Target Imaging

Ozgur Ozdemir 1 Houssem Haddar 2
2 DeFI - Shape reconstruction and identification
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7641
Abstract : We propose a novel inversion algorithm to image buried objects in inhomogeneous media from the electromagnetic data on the outer boundary. Our method is based on exploiting the Cauchy data to derive a new Born-like linearization of the inverse problem. The main advantage of this formulation is to avoid the use of the background Green function and therefore is computationally more efficient. It also provides better accuracy than classical Born approximation. In the case of stratified media, our approach can be coupled with any appropriate continuation method. We discuss here the coupling with a continuation method based on the use of approximate transmission conditions. The feasibility and robustness of our methodology is validated through numerical experiments for single and multiple targets.
Type de document :
Article dans une revue
IEEE Transactions on Antennas and Propagation, Institute of Electrical and Electronics Engineers, 2013, 61 (6)
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https://hal.inria.fr/hal-00796488
Contributeur : Houssem Haddar <>
Soumis le : lundi 4 mars 2013 - 11:59:34
Dernière modification le : jeudi 10 mai 2018 - 02:04:13

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  • HAL Id : hal-00796488, version 1

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Ozgur Ozdemir, Houssem Haddar. Linearized Cauchy Data Inversion Method for Two-Dimensional Buried Target Imaging. IEEE Transactions on Antennas and Propagation, Institute of Electrical and Electronics Engineers, 2013, 61 (6). 〈hal-00796488〉

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