Simulation of terrain propagation and diffraction using a 2D high-order accurate FMM-accelerated Nyström’s solver

Abstract

In this paper, an FMM-accelerated and high-order accurate Nystorm's solver for analyzing wave propagation over large terrains with arbitrary profiles is implemented. The current implementation can be a valuable tool for validating existing asymptotic-based algorithms; in particular, it can be a convenient alternative for obtaining diffraction coefficient parameters, as is shown here for a canonical class of smooth dielectric surfaces.