Analytical Calculation and Monte Carlo Simulation of a Variation in the Shape of a Short Radio Pulse in the Case of Scattering in Urban Conditions

We apply the corpuscular Monte Carlo method for the first time to calculate numerically the shape of an initially short radio pulse scattered in urban conditions. In the simplest two-dimensional case, which corresponds to a low elevation of the source and receiver with respect to building roofs, agreement of the results of the analysis and numerical calculations of the shape of the received pulse is demonstrated in the case of a single reflection of the pulse from building walls. The dependence of the pulse duration on various factors is analyzed with allowance for multiple reflections and diffraction by the roofs of urban structures.