Wave reflection from an inhomogeneous layer with random irregularities

The problem of wave reflection and scattering from an inhomogeneous layer with random irregularities has been solved using the double weighted Fourier transform and the Fock proper-time method. The solution obtained in a small-angle approximation agrees with the geometrical optics approximation, the Rytov approximation and the phase screen method. However, this approach can be exploited without small-angle approximation conditions. And finally, the results of the proposed approach take the form of strict results for the layer with the linear permittivity profile and enable us to account for random inhomogeneities in such a layer.