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We analyzed the response of elastic half space to a harmonically vibrating lateral force applied to the surface. We first derived analytic formulae which give the wave field at an arbitrary depth. These formulae provide a theoretical basis for a new method of physical prospecting which has been developed recently and is believed to be crucial for the precision investigation of underground geological structure. Next we calculated the formula for the most important lateral mode. While a large response was generated at the surface in the form of surface waves, the radiation pattern showed remarkable directivity resulting a cone shaped strongly excited area with vertical axis beneath the source.

WAVE FIELD GENERATED BY LATERALLY VIBRATING SOURCE ATTACHED TO THE SURFACE OF ELASTIC HALF SPACE