One-Step Leapfrog ADI-FDTD Method Including Lumped Elements and Its Stability Analysis

A one-step leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method including lumped elements is presented. The method is originated from the conventional ADI-FDTD method, but without mid-time-step computations. Its unconditional stability is analytically proven by combining the von Neumann method with the Jury criterion. In addition, its unconditional stability and high computational efficiency are verified through numerical experiments.