UDC 532.59
DIFFRACTION OF ELASTIC WAVES BY SPHERE IN THE SEMIBOUNDED REGION
Abstract. The problem of scattering of plane elastic waves by a rigid sphere near a plane rigid boundary, which causes multiply re-reflected dilatational and shear waves, is considered. This generates strong oscillations of the wave field. The problem is formulated and reduced to the definition of scalar functions and for shear waves also as a consequence of symmetry. Approximate formulas for the field in the far zone and in the case of the long wavelength Rayleigh approximation are presented. Estimations of the construction of multiply re-reflected waves by the image method are obtained. Calculations of scattered wave fields, presented in the form of scattering diagrams, are carried out.
Keywords: wave diffraction, sphere, semibounded region, image method.
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