A vector parabolic equation method for propagation predictions over flat terrains

Starting from a parabolic approximation to the Helmholtz equation, a three-dimensional (3-D) vector parabolic equation (PE) method for propagation predictions over flat terrains is presented. The split-step Fourier transform (SSFT) algorithm is adopted to solve the vector parabolic equation obtained. Besides, the impedance boundary condition is studied, as well as the absorbing boundary condition. Finally, in order to validate the proposed method, several numerical simulations of a typical flat terrain are made by using the 3-D PE method and some other methods respectively, and as a result, great agreements are observed.