Université Paris-Saclay (Espace Technologique, Bat. Discovery - RD 128 - 2e ét., 91190 Saint-Aubin - France)
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.
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⟩
