Shear waves with horizontal polarization  Diffraction by a perfectly rigid sphere
Abstract
The propagation of superhigh frequency spherical waves is theoretically studied in a homogeneous, isotropic, elastic infinite medium containing a perfectly rigid spherical inclusion. The wave source is located outside the inclusion. A simple solution to this diffraction problem is given in terms of geometric optics. The reflection of superhigh frequency waves follows Cartesian laws in the first approximation. A series of dispersive, evanescent waves is found to appear on the surface of the sphere; these waves orbit the center of the sphere a finite number of times and propagate more slowly than the incident superhigh frequency waves that give rise to them.
 Publication:

Archiv of Mechanics, Archiwum Mechaniki Stosowanej
 Pub Date:
 1974
 Bibcode:
 1974ArMeS..26.1029G
 Keywords:

 Polarized Elastic Waves;
 S Waves;
 Spherical Waves;
 Wave Diffraction;
 Airy Function;
 Bessel Functions;
 Complex Variables;
 Hankel Functions;
 Inclusions;
 Rigid Structures;
 Shear Stress;
 Stress Propagation;
 Physics (General)