In this letter, the current source implementations are presented for the hybrid implicit–explicit finite-difference time-domain (HIE-FDTD), the improved HIE-FDTD, and the leapfrog HIE-FDTD methods. The asymmetry and the field errors of these HIE-FDTD methods are investigated for all possible values of the time index parameters. The proposed implementations give very low asymmetry and field errors for all the three HIE–FDTD methods. The field errors given by these HIE-FDTD methods are lower than those given by the alternating direction implicit finite-difference time-domain (ADI-FDTD) method.

中文翻译：

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HIE-FDTD 方法的电流源实现


在这封信中，介绍了混合隐式-显式有限差分时域 (HIE-FDTD)、改进的 HIE-FDTD 和跨越式 HIE-FDTD 方法的当前源实现。针对时间索引参数的所有可能值，研究了这些 HIE-FDTD 方法的不对称性和场误差。所提出的实现为所有三种 HIE-FDTD 方法提供了非常低的不对称性和场误差。这些 HIE-FDTD 方法给出的场误差低于交替方向隐式时域有限差分 (ADI-FDTD) 方法给出的场误差。