Non-stationary elastic wavefields from an apodized normal transducer. Near-field asymptotics and numerics

Eliane Bécache 1 Aleksei Kiselev
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We simulate non-stationary radiating near-field of a normal transducer acting at the surface of an isotropic homogeneous elastic half-space. The transducer is assumed large compared to the characteristic wavelength. Effects of non-constance of distribution of pressure over the aperture of the transducer on the wavefield are considered in detail. These are i) excitation of a plane S-wave, ii) anomalous polarization in the plane P-wave, and iii) suppression of edge waves by an apodization of the pressure distribution. Asymptotic formulas are tested against a numerical method based on new mixed finite elements. The agreement is found excellent within the bounds of the asymptotic theory.
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Journal articles
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Eliane Bécache, Aleksei Kiselev. Non-stationary elastic wavefields from an apodized normal transducer. Near-field asymptotics and numerics. Acta Acustica united with Acustica, Hirzel Verlag, 2005, 91 (5), pp.822-830. ⟨hal-00982677⟩

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