Wave scattering by a nonsymmetric nonuniform cylinder (Q2759382)

A new class of exact solutions for the problem of wave diffraction by an asymmetrically inhomogeneous cylindrical scatterer is obtained. In contrast to previous investigations the properties of the scatterer depend on both radial and angular coordinates. The exact solutions are obtained for the case when the density is presented as a product of two functions: one is the exponential function of the radial coordinate, the other is the sine square of the angular coordinate. The solution is expressed by degenerated hypergeometric functions. Calculations of the total scattered cross-section as a function of wave number are presented and analysed.