Three-step LOD-fdtd method including lumped resistors and its stability analysis

A three-step locally one-dimensional finite-difference time-domain (LOD-FDTD) method including lumped resistors is presented. In particular, the semi-implicit different formulation for the lumped resistor is analyzed. Then, the numerical stability of the extended three-step LOD-FDTD method including lumped resistors is analyzed by combining the von Neumann method with the Jury criterion, and the results show that the proposed method is unconditionally stable. In addition, its unconditional stability is verified through numerical experiments.