Analysis of Peripheral Waves in the Scattering of a Plane Acoustic Wave Obliquely Incident on a Circular-Cylindrical Shell

Abstract

The scattering problem of a plane acoustic wave from a shell, with the propagation direction making an angle α with the normal to the longitudinal axis of the shell, is a natural generalization of the corresponding problem at normal incidence. The exact solution of the problem considered is given in series form in Chap. 1. As to the formulation and the method of solution, the problem is similar to the corresponding problem of a solid elastic cylinder (see [12.1] and Chap. 11). Mathematically, these problems differ in the number of boundary conditions. The problem considered possesses in addition three boundary conditions on the inner surface of the shell. From the physical point of view, the case of scattering by the shell is characterized by the fact that one group of the peripheral waves generated in the shell is of Lamp-type and the other is of shear-type.