The Numerical Simulation of Multiple Scattering in Urban Environment by Monte-Carlo Method with Account of Diffraction Effects

This paper presents a research based on the Monte-Carlo method of the numerical simulation of multiple scattering for chaotically placed urban buildings with account of diffraction on the roofs and walls of the city buildings. The diffraction is modeled by random deflection of trajectory of the corpuscle from the straight direction according to Heisenberg uncertainty relation within corpuscular approach which we is used in the research. The dependence of the average values of received radiation energy density on the relative positioning of a source and receiver with respect to the underlying earth surface has been found. The account of diffraction is shown to lead to a significant increase in the received energy. Particularly strong influence of the diffraction is manifested when the source and the receiver are placed below the roofs of the buildings. In this case the dependence of the received energy from a distance has changed qualitatively from the exponential characteristic to the power one. The diffraction role tends to be not so strong when the source and the receiver are placed above the roofs of the buildings. But in this case due to diffraction the amount of the received energy has increased, which brings the calculated values to those obtained in the experiment.