Extension of the WCS-FDTD Method to three-Dimensional Linear Lumped Networks

The weakly conditionally stable finite-difference time-domain (WCS-FDTD) method is applied to linear lumped networks (LN) in three-dimensional (3D) domain. In this method, the bilinear Z-transformed is used to obtain the current density's updated iterative formula by transformation between the S-domain, Z-domain and time-domain. Complicated integrals are avoided and the method is relatively simple. The characteristics of weakly conditionally stable FDTD are inherited by the LN-WCS-FDTD algorithm. The time step can be fetched large enough. So, efficiency can be hoisted. In the end, the efficiency of LN-WCS-FDTD algorithm is verified by contrasting the average relative error and simulation time with the traditional FDTD algorithm.