Efficient implicit FDTD algorithm based on locally one-dimensional scheme

The locally one-dimensional (LOD) scheme is introduced into the implicit FDTD method. The LOD-FDTD provides simple implementation of the algorithm and reduced computational time. For facet reflectivity analysis of an optical waveguide, the computational time is reduced to 80 and 50% of those of the ADI-FDTD and the conventional FDTD, respectively.