Wide-angle generalization of integral representation as double weighted Fourier transform in the problem of wave reflection from a randomly inhomogeneous ionospheric layer

It has been shown before that the method of double weighted Fourier transform (DWFT) allows us to describe in a small-angle approximation Fresnel and caustic diffraction effects, as well as multipath propagation effects that occur in radio wave propagation through multi-scale inhomogeneous ionospheric plasma. For wide-angle generalization of this approach, in this report we employ the Fock proper-time method. The solution obtained, along with the above properties of the small-angle variant of DWFT, describes wave reflection from a randomly inhomogeneous layer and specifies conditions under which the spatial signal processing based on the inverse DWFT can increase resolution of vertical ionospheric sounding.