On the diffraction of high-frequency waves by arbitrary shape cone. Neumann case

In this paper we consider a problem of diffraction a plane acoustic wave by a arbitrary shape cone. The spherical wave is created at the result of the scattering by the cone vertex. Our problem consist of a calculation of this wave in a high frequency approximation. The calculations are based on a Smyshlyaev's formula (see [2], [3]). The acoustic wave potential satisfies to Neumann's condition on the boundary of the cone. A same problem (in Dirichlet's boundary condition) was considered in [8]. In this paper we can use the method of calculation near to method used in [8]. Bibliography: 8 titles.