一种色散介质中的低误差ADI-FDTD 算法

交变方向隐式时域有限差分（ADI-FDTD）能够克服传统时域有限差分算法中稳定性条件对时间步长的限制，从而提高计算效率，但是在大步长时其误差较大。ER（低误差）-ADI-FDTD 方法通过补偿截断误差项，提高了计算精度，但是目前仅给出二维非色散条件下的形式。在ER-ADI-FDTD 的基础上，提出了一种色散介质中的低误差D-ER-ADI-FDTD 算法，推导出了完整的三维计算公式。最后通过计算和结果比较对算法进行检验。

An Error Reduced ADI-FDTD Method for Debye Dispersive Media

The alternating direction implicit finite-difference time-domain (ADI-FDTD) method has been proposed toovercome stability limitations in conventional FDTD methods. Despite its high efficiency, the ADI-FDTD method sufferssignificant errors at large time steps. The ER(error reduced)-ADI-FDTD method increases accuracy without muchcomputation addition, by compensating truncation errors, but only two dimensional and non-dispersive cases are considered.In this paper, an error reduced ADI-FDTD method for Debye dispersive media is proposed based the original ER-ADI-FDTD,complete three dimensional equations are derived. Calculation results are checked and compared with existing methods.