Alternative Implementation of EM Propagation for 3-D Layered Lossy Media by SMM Method

An efficient space mapping method (SMM) is proposed to simulate electromagnetic (EM) propagation in 3-D multilayered lossy media. In regard to the spatial geometry discretization, the 3-D spatial layered structure is projected as an axial stratified model, and then, the finite element method (FEM) is utilized for mesh generation. This process reduces the complexity of model discretization compared to traditional numerical algorithms. Furthermore, to avoid the generation of large-scale sparse matrices in FEM implementation, the tangential electric field partial differential equations (TEF-PDEs) are established in fully anisotropic medium. This is achieved by transforming the spatial partial differential operator tensor in the 3-D vector wave equation into an antisymmetric tensor. Thus, the dimension of coefficient matrix can be effectively reduced compared to those based on the omnidirectional electric field equations. To validate the accuracy, efficiency, universality, and stability of this proposed method, several numerical cases are carried out, and the results as well as the method performance are compared with analytical method and commercial software COMSOL.