Abstract
Semitransparent surfaces are used in antenna reflectors to obtain the required shape of the radiation pattern. The task of transparency optimization can be simplified with analytical formulae. In this paper, we investigate the scattering of a vector cylindrical wave by a semitransparent half-plane and axisymmetric reflector. The profile of the reflector can be concave, convex, or concavo-convex. We derive some asymptotic formulae for the radiation pattern of the scattering task. In this paper, we present the numerical results calculated through the asymptotic formulae. These results have also been verified through the method of moments.