Nonlinear coordinate transformation for efficient finite element in solving electromagnetic scattering from body coated by thin-layer materials

Abstract

In this paper, an efficient finite element method (FEM) in solving electromagnetic scattering from body coated by thin-layer materials based on nonlinear coordinate transformation is presented. To solve scattering thin-layer material problems accurately, the traditional FEM employs rigor meshes to discretize the thin-layer structure resulting in numerous meshes, unknowns and ill-conditioned matrices. It requires much expensive storage and computational time. The proposed approach employing nonlinear coordinate transformation maps the dense thin-layer geometry space into a sparse space. In this manner, the need of rigor local mesh refinement can be eliminated. Thus, it provides an efficient approach to compute scattering from body coated by thin-layer materials. Two examples validate the efficiency and accuracy of the proposed method.