Phase factors representation for EM scattering from a rough surface perfect conductor

The surface magnetic field (current) integral equation for a plane in an average rough interface between a vacuum and a perfect conductor is considered. This equation is presented in a form that contains the random elevations only in a form of exponential functions with purely imagined exponents. Iterations of this equation lead to a solution in powers of multiplicity of the Kirchhoff scattering, and each iterative term contains the random elevations only in exponents. Because the modulus of such functions is equal to unity, one may expect that convergence of such series is independent of the Rayleigh parameter. All mean values can be expressed directly in terms of joint characteristic functions of elevations in different points of a rough surface. To develop this representation of the scattering problem the author uses the three-dimensional Green's function in terms of the one-dimensional Fourier integral with respect to z.