Full Wave Solutions of Multiple Scattering Using 3D Vector Cylindrical Wave Expansions In Foldy-Lax Equations

In this paper, we develop a method for full wave simulations of vegetation/forests based on the scattered field formulation of Foldy-Lax multiple scattering equation (FL). The novelty of this method is that the 3D vector cylindrical wave expansions are used in FL, because the trees are compactly enclosed by the infinite cylindrical surfaces without overlap. For cylindrical scatterers such as tree trunks, infinite cylinder approximation is used to calculate the T matrix. Vector translation addition theorem of 3D vector cylindrical waves is used, and the FL is solved iteratively. Solving FL is equivalent to solving Maxwell equations and all the interactions and multiple scatterings among the scatterers are considered. The correctness of the method is verified by HFSS. This method has been implemented on parallel computing for large problems such as full wave simulations of forests.