A leapfrog alternating-direction hybrid implicit-explicit FDTD method

A novel curl splitting technique is proposed that makes the leapfrog ADI-FDTD method better equipped for configurations requiring a higher resolution in only one or two dimensions. The proposed method, which is given the name “leapfrog ADHIE-FDTD”, hybridizes implicit and explicit update equations such that the time step is solely bounded by the spatial steps in preferred dimensions. This weak conditional stability is rigorously proven and numerically validated.