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Direct elastic imaging of a small inclusion

Habib Ammari 1 Pierre Calmon 2 Ekaterina Iakovleva 3
1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 DISC - Département Imagerie et Simulation pour le Contrôle
3 LIST - Laboratoire d'Intégration des Systèmes et des Technologies
Abstract : 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.
Keywords : MUSIC-type algorithm reconstruction asymptotic formula detection elasticity small inclusion
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https://hal-supelec.archives-ouvertes.fr/hal-00654620
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Submitted on : Thursday, December 22, 2011 - 2:47:37 PM
Last modification on : Monday, December 13, 2021 - 9:16:02 AM

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Habib Ammari, Pierre Calmon, Ekaterina Iakovleva. Direct elastic imaging of a small inclusion. SIAM Journal on Imaging Sciences, Society for Industrial and Applied Mathematics, 2008, 1 (2), pp.169-187. ⟨10.1137/070696076⟩. ⟨hal-00654620⟩

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