Numerical dispersion analysis of an efficient unconditionally stable three-dimensional LOD-FDTD method

In this paper, an improved three-dimensional (3D) locally one-dimensional finite-difference time-domain (LOD-FDTD) method is presented. In the proposed method, the time step is divided into three sub-steps. Dispersion control parameters are inducted into X, Y and Z directions. The results show that the method is stable and the normalized numerical phase velocity errors are smaller than the conventional LOD-FDTD method.