Scattering of Plane Sh-Waves By A Semi-Parabolic Cylindrical Canyon In an Elastic Half-Space

The 2-D scattering and diffraction of plane SH-waves by a semi-parabolic cylindrical canyon in an elastic half-space is analysed for the cases of SH-waves coming from the side of the half-space towards the front of the canyon. the exact analytic series solution of the problem is presented. It shows that the surface topography can have significant effects on the incident waves, which become prominent at high frequencies, or when the wavelengths of the incident waves are short compared with the focal length of the canyon. Higher frequencies will also lead to greater complexity of the pattern of surface displacement amplitudes involving abrupt changes of amplification or deamplification from one point to another.