Three-Dimensional Conformal LOD-FDTD Method for Accurate Transisent Electromagnetic Analysis

As we all know, the finite-difference time-domain (FDTD) method suffers obvious staircase error and courant-friedrich-levy (CFL) condition. We proposed a conformal locally one-dimensional (LOD-FDTD) method which can be applied in three-dimensional simulations and is still unconditionally stable to overcome these two issues in the traditional FDTD method. This method takes the partially filled cells into consideration to accurately model the perfectly electrical conductor (PEC) objects and allows time steps beyond the CFL condition. Unlike the traditional conformal FDTD methods, in which time steps have to be reduced to guarantee the stability, the proposed method still has unconditional stability without compromising the accuracy. Its accuracy is validated through a numerical example.