On the diffraction of high-frequency waves by a cone of arbitrary shape

Abstract

The scalar problem of diffraction of a plane scalar wave by an arbitrary shape cone is considered. The boundary condition is a Dirichlet one. The spherical wave (the center of the sphere is the cone vertex) scattered by the cone vertex arises as a result of the diffraction process. Our subject is a numerical calculation of the wave amplitude. The calculations are based on V.P. Smyshlyaev's results. The problem required the numerical solution of Fredholm integral equations along the line of intersection of the cone and the unit sphere, center of which is the cone vertex, and calculations of integrals containing the solutions of the integral equations. The method is possible to use if some restrictions to the directions of the observations are held.