Аннотация:We investigate two mathematical models for solving the problem of reflection of a plane E- and H-polarized electromagnetic waves from an urregular media interface. In the first model, the reflecting surface is a transparent periodic wavy interface between two media each of which is characterized by its permittivity and magnetic permeability. In the second model, the reflecting surface is a perfectly conducting plane with a rather extensive finite pimply impedance section of the surface.