Direct Elastic Imaging of a Small Inclusion

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. Key words. elasticity, small inclusion, detection, asymptotic formula, reconstruction, MUSIC-type algorithm AMS subject classifications. 35R30

• Type: Journal
• Year: 2008
• Where: SIAMIS
• Authors: Habib Ammari, Pierre Calmon, Ekaterina Iakovleva
• Keywords: Elastic Inclusion, Elastic Source Transmitters, SIAMIS 2008, Three-dimensional Elastic Inclusion