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| HAL : hal-00654620, version 1 |
| DOI : 10.1137/070696076 |
| Fiche détaillée |  Récupérer au format |
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| SIAM Journal on Imaging Sciences 1, 2 (2008) 169-187 |
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| Direct elastic imaging of a small inclusion |
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| Habib Ammari 1Pierre Calmon 2 |
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| (21/05/2008) |
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| In this paper we consider the problem of locating a small three-dimensional elastic inclusion, using arrays of elastic source transmitters and receivers. This procedure yields the multi-static response matrix that is characteristic of the elastic inclusion. We show how the eigenvalue structure of this matrix can be employed within the framework of a non-iterative method of MUSIC (standing for MUltiple Signal Classification)-type in order to retrieve the elastic inclusion. We illustrate our reconstruction procedure with a variety of computational examples from synthetic, noiseless, and severely noisy data. |
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| 1 : | Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP) |
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Polytechnique - X – CNRS : UMR7641 |
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| 2 : | CEA-DRT/LIST/DETECS/SYSSC/LTM |
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CEA |
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| 3 : | Laboratoire d'Intégration des Systèmes et des Technologies (LIST) |
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| Domaine | : | Physique/Physique mathématique Mathématiques/Physique mathématique Sciences de l'ingénieur/Acoustique Physique/Mécanique/Acoustique |
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| elasticity – small inclusion – detection – asymptotic formula – reconstruction – MUSIC-type algorithm |
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| hal-00654620, version 1 | |
| http://hal-supelec.archives-ouvertes.fr/hal-00654620 | |
| oai:hal-supelec.archives-ouvertes.fr:hal-00654620 | |
| Contributeur : Dominique Lesselier | |
| Soumis le : Jeudi 22 Décembre 2011, 14:47:37 | |
| Dernière modification le : Mercredi 4 Janvier 2012, 09:14:22 | |
