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The analytic properties and uniqueness of the solutions to problems of scattering by compact obstacles in an infinite plate described by the Uflyand-Mindlin model

The analytic properties and uniqueness of the solutions to problems of scattering by compact... Abstract The three-dimensional problem of the sound wave scattering by a compact obstacle of a general form in an Uflyand-Mindlin plate is considered. A formula that expresses the scattering field in terms of the analytic continuation of the directivity pattern is derived, and the formulas that describe the coupling of the scattering channels and allow the calculation of the surface wave amplitudes from the residues of the directivity pattern are obtained. For the case of nonradiating obstacles, the uniqueness of the solution to the scattering problem in the absence of absorption is established. An example of a localized shear wave is presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acoustical Physics Springer Journals

The analytic properties and uniqueness of the solutions to problems of scattering by compact obstacles in an infinite plate described by the Uflyand-Mindlin model

Acoustical Physics , Volume 53 (6): 7 – Nov 1, 2007

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References (12)

Publisher
Springer Journals
Copyright
2007 Pleiades Publishing, Ltd.
ISSN
1063-7710
eISSN
1562-6865
DOI
10.1134/s1063771007060012
Publisher site
See Article on Publisher Site

Abstract

Abstract The three-dimensional problem of the sound wave scattering by a compact obstacle of a general form in an Uflyand-Mindlin plate is considered. A formula that expresses the scattering field in terms of the analytic continuation of the directivity pattern is derived, and the formulas that describe the coupling of the scattering channels and allow the calculation of the surface wave amplitudes from the residues of the directivity pattern are obtained. For the case of nonradiating obstacles, the uniqueness of the solution to the scattering problem in the absence of absorption is established. An example of a localized shear wave is presented.

Journal

Acoustical PhysicsSpringer Journals

Published: Nov 1, 2007

Keywords: Acoustics

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