Unconditionally Stable FDTD Technique Including Passive Lumped Elements

This paper presents an unconditionally stable finite-difference time-domain (FDTD) technique including passive lumped elements based on the Crank-Nicolson method. Although the unconditional stability of the Crank-Nicolson FDTD has been studied, it should be the first time that the unconditional stability for the schemes including lumped elements is proven to the best of our knowledge. These unconditionally stable FDTD schemes are proposed for the incorporation of resistors, capacitors and inductors respectively. The stability of these schemes is proved to be neither related to the mesh size, nor related to the values of the elements, which is therefore a distinguished advantage over the previous extended FDTD