Propagation over terrain and urban environment using the multilevel UV method and a hybrid UV/SDFMM method

Propagation over terrain and urban environments are studied using 2D simulations of Maxwell equations. For the case of terrain propagation, the multilevel UV method is used to accelerate the method of moments (MoM) solution. We consider propagation over a region of 14.42 km at 1,500 MHz that has 720,896 MoM surface unknowns. For the case of the urban environment, because of the sharp rise in surface heights, we use a hybrid UV/SDFMM method. We consider a problem over 2.3 km with building heights of 18 m for 90,112 MoM surface unknowns at 900 MHz. Computations of all cases were performed with a single processor. Based on the simulations, we study fading and signal amplitude variation with distance.