Full Wave Simulations of Vegetation/Trees Using 3D Vector Cylindrical Wave Expansions In Foldy-Lax Multiple Scattering Equations

In this paper, we develop a method for full wave simulations of vegetation/trees based on the scattered field formulation of Foldy-Lax multiple scattering equation (FL). The 3D vector cylindrical wave expansions are used 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 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 and the method is applicable for large problems such as full wave simulations of forests.