ADI-FDTD method with fourth order accuracy in time

作者：Tan Eng Leong^*; Heh Ding Yu

来源：IEEE Microwave and Wireless Components Letters, 2008, 18(5): 296-298.

DOI：10.1109/LMWC.2008.922099

• alternating direction implicit finite-difference time-domain (ADI-FDTD)
• higher order ADI-FDTD
• numerical dispersion
• split-step approach

This letter presents an unconditionally stable alternating direction implicit finite-difference time-domain (ADI-FDTD) method with fourth order accuracy in time. Analytical proof of unconditional stability and detailed analysis of numerical dispersion are presented. Compared to second order ADI-FDTD and six-steps SS-FDTD, the fourth order ADI-FDTD generally achieves lower phase velocity error for sufficiently fine mesh. Using finer mesh gridding also reduces the phase velocity error floor, which dictates the accuracy limit due to spatial discretization errors when the time step size is reduced further.

• 出版日期2008-5
• 单位南阳理工学院