Axially Symmetric Scattering of Acoustic Waves at Bodies of Revolution

This chapter develops the first-order physical theory of diffraction (PTD) for acoustic waves scattered at bodies of revolution with sharp edges. It deals with axially symmetric scattering. This situation occurs when an incident plane wave propagates in the direction along the symmetry axis of a body of revolution. It also determines the field scattered at certain bodies of revolution. The chapter studies symmetrical scattering at bodies of revolution whose illuminated side is an arbitrary smooth convex surface with nonzero Gaussian curvature. In addition, it presents three types of calculation for the cone. The first type consists of calculation for conformal paraboloids, which differ by their length; the second type relates to the transformation of paraboloids into the disk, and the third type reveals the influence of the shadowed base of paraboloids on backscattering. Finally, the chapter investigates the influence on backscattering of the shadowed part of the spherical segment.