Diffraction of a cylindrical electromagnetic wave by a dielectric half-plane

An electromagnetic diffraction of a cylindrical wave (emanating from a line source) by a dielectric half-plane is investigated. The problem is solved using integral transforms, the Wiener-Hopf technique and asymptotic approximations. The factorizations of kernel functions are accomplished. It is observed that the reflected waves cease to exist if the angle of incidence takes up the value tan(-1)(1/n) where n represents the refractive index of the material of the half-plane under consideration.