Near Field of the Half-Space Green’s Function

Abstract

This paper fills the gap in the study of Rayleigh scattering near an interface. The structure of the near-field of the half-space Green’s function is analytically described. Explicit dependencies on range, distance to the boundary, and physical parameters of contacting media are obtained. These results are of applied value for modern ultrasonic cleaning techniques because they allow one to describe the action of the Bjerknes force on particles located near an interface.