The field spatial processing based on the approximation of the double-weighted Fourier transform for the remote inhomogeneity is investigated. The possibility of using this processing as the method allows to go beyond the Fresnel resolution in the near-Earth plasma diagnostics is considered. The numerical simulation results of the processed signal phase and amplitude in the conditions of strong phase fluctuations are presented. The numerical simulation results showed that for a selection of the virtual screen coordinates, using the Fresnel inversion in the ionosphere diagnostics in the conditions of strong phase fluctuations, we need to find parameters accorded to the minimal amplitude variations.