Uniqueness for the determination of sound-soft defects in an inhomogeneous planar medium by acoustic boundary measurements
Articolo
Data di Pubblicazione:
2003
Citazione:
Uniqueness for the determination of sound-soft defects in an inhomogeneous planar medium by acoustic boundary measurements / L. Rondi. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 355:1(2003), pp. 213-239.
Abstract:
We consider the inverse problem of determining shape and location of sound-soft defects inside a known planar inhomogeneous and anisotropic medium through acoustic imaging at low frequency. In order to determine the defects, we perform acoustic boundary measurements, with prescribed boundary conditions of different types. We prove that at most two, suitably chosen, measurements allow us to uniquely determine multiple defects under minimal regularity assumptions on the defects and the medium containing them. Finally, we treat applications of these results to the case of inverse scattering.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
scattering; cracks
Elenco autori:
L. Rondi
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