Reconstruction of the three mechanical material constants of a lossy fluid-like cylinder from low-frequency scattered acoustic fieldsReconstruction des trois constants mécaniques matériels d'un cylindre fluide dissipatif à partir de champs acoustiques basses fréquences |
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Authors: | Thierry Scotti Armand Wirgin |
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Institution: | Laboratoire de mécanique et d''acoustique, UPR 7051 du CNRS, 31, chemin Joseph Aiguier, 13402 Marseille cedex 20, France |
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Abstract: | The inverse medium problem for a circular cylindrical domain is studied using low-frequency acoustic waves as the probe radiation. To second order in k0a (k0 the wavenumber in the host medium, a the radius of the cylinder), only the first three terms (i.e., of orders 0, ?1 and +1) in the partial wave representation of the scattered field are non-vanishing. This enables the scattered field to be expressed algebraically in terms of the unknown material constants, i.e., the density ρ1, and the real and imaginary parts of complex compressibility κ1 of the cylinder. It is shown that these relations can be inverted to yield explicit, decoupled expressions for ρ1 and κ1 in terms of the totality of the far-zone scattered field. These expressions furnish accurate estimations of the material parameters provided the probe frequency is low and the radius of the cylinder is known very precisely. To cite this article: T. Scotti, A. Wirgin, C. R. Mecanique 332 (2004). |
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Keywords: | Acoustics Inverse medium problem Acoustique Problème inverse de milieu |
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