Numerical analysis of the asymptotic formulas for the wave field reflected from a cylindrical surface with arbitrary maximal curvature

The diffraction of a plane wave by a parabolic cylinder with arbitrary maximal curvature is considered. The continuous transition from the description of diffraction by a smooth body to the description of diffraction by a half plane is traced for the example of this problem. An estimate of the error of the asymptotic formulas for the reflected wave is obtained as a result of numerical analysis.