Diffraction of Plane Sound Waves on a Hard-Soft Half-Plane

Abstract

A simple method is proposed for solving the problems of diffraction of plane sound waves on a half-plane with different-type boundary conditions on its surfaces (the Neumann condition on one surface and the Dirichlet condition on the opposite surface). In contrast to existing techniques, the proposed method allows one to obtain analytical solutions valid near the half-plane edge and at far distances from the edge.