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Results of numerical simulation of pulse cylindrical electromagnetic wave scattering by a dielectric half-space with a plane interface have been presented in the given work. This simulation has been done by the finite-difference time-domain method (FDTD). A change of field characteristics with changing the radiator position and observation points as well as radiated pulse duration and dielectric characteristics of the scatter has been investigated. A possible effect of these parameters on the probability of subsurface object detection in radar problems has been considered.