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SIAMIS
2008

Direct Elastic Imaging of a Small Inclusion

13 years 11 months ago
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
Habib Ammari, Pierre Calmon, Ekaterina Iakovleva
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2008
Where SIAMIS
Authors Habib Ammari, Pierre Calmon, Ekaterina Iakovleva
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