Wave Problems of Scattering on Cylindrical Bodies

Abstract

This work considers the process of scattering of nonlinear acoustical waves on cylindrical bodies. The peculiarities of nonlinear wave processes occurring between incident plane and scattered cylindrical waves are described. The inhomogeneous wave equation is solved by the method of successive approximations. An asymptotic expression for the acoustic pressure of a difference frequency wave describes the wave processes that occur. A program has been developed for calculating the scatter diagrams, and an algorithm for its operation is given. Three-dimensional models of the problem of scattering in cylindrical coordinates and the scattering diagram of the acoustic pressure of a differential-frequency wave on a rigid cylinder are presented. The radius of convergence of the used expansion method in a small parameter is determined.