This article describes the systematic development of an analytical and full wave model of a radio channel, which may be included in the operation algorithm of detecting metal structures in a concrete medium for the radar device. The analytical model is based on the geometric formulation and solution of an inverse problem to find the required refraction angle to accurately target incidence. In the full wave model, which was developed in CAD Altair Feko, it is possible to take into account both the real antenna or antenna array, which is used in the device, and the real signal reflection object, which is located in the concrete medium. It is important to note that the analytical model takes into account the dispersion effect of electromagnetic waves propagating in the medium. This fact turns out to be especially relevant for the forming of the radar complex based on chirp signals (or FMCW) in a certain frequency range. In this paper, an algorithm is developed for the frequency range of 0.8-5 GHz, however, if necessary, the band boundaries may be changed. The algorithm is established created for its use in radar devices for detecting metal structures in a concrete medium. A measuring module of restoring the actual material parameters may be included in the complex of the radar device for a posteriori accounting of the electrophysical parameters of the concrete.