Inverse problem solution of radio-waves scattering on soil by minimization of regularizing functional

To determine an one-dimensional continual permittivity profile of layered medium with a scale of inhomogeneity in 1 cm has been considered a data processing procedure of waves reflection from a half-infinite medium with heterogeneous permittivity that depends on a depth. This procedure is based on the regularizing algorithm minimization of the generalized discrepancy between the measured frequency dependence of the reflection coefficient and its theoretical model. The sum of theoretical dependence of the reflection coefficient from frequency into range 0.4-2 GHz and random error with the uniform law of probability distribution was used as a measured data of the reflection coefficient from a natural soil.