Abstract:

An unconditionally stable Finite Difference Time Domain (FDTD) method using the principle of Alternating Direction Implicit (ADI) is presented. The ADIFDTD is used to transient analysis of transmission line. The relation of telegraph equation recursion of the transmission line based on ADIFDTD is derived. The terminal conditions of the transmission line are defined. The unconditional stability of the ADIFDTD is theoretically analyzed. The ADIFDTD overcomes the constraints of the CourantFriedrichLevy condition, and the maximum time step size is only limited by numerical errors. Results of numerical experiments confirm that the ADIFDTD is consistent with the conventional FDTD; however, its efficiency is higher and it can be widely used in cases that long time is need to approach stable.

Key words: electronics, unconditionally stable, ADI-FDTD, transmission line