One-Step Leapfrog LOD-FDTD Method With CPML for Periodic Structures

For a high-efficient analysis of an obliquely incident plane wave on periodic structures, a one-step leapfrog locally one-dimensional finite-difference time-domain method is proposed in this letter. First, by applying the LOD scheme into the improved split-field algorithm, unconditional stability can be achieved. Then, by introducing three auxiliary variables, the one-step leapfrog implementation for the LOD scheme is derived. Finally, the implementation of the convolutional perfectly matched layer for the proposed method is derived. At last, numerical results are given to verify the accuracy and efficiency of the proposed method.