Field interpolation with generalized barycentric coordinates in conformal FDTD schemes

摘要

In this paper, we propose a method to interpolate electromagnetic field for conformal FDTD schemes. This method is based on generalized barycentric coordinates (GBC) interpolation in polyhedron. After a short presentation of GBC theory, we explain how it is applied in conformal FDTD cells. This field interpolation method can be useful to extend FDTD models requiring field approximation, to conformal schemes. An example of field interpolation and surface current computation are given for two canonic PEC structures.