In this letter, a 3‐D optimized one‐step leapfrog weakly conditional stability finite‐difference time‐domain (WCS‐FDTD) scheme, which introduces the artificial anisotropy parameters into the one‐step leapfrog WCS‐FDTD scheme, is proposed to suppress the numerical dispersion error and boost the accuracy without the enhancement of the simulation complexity. The proposed scheme maintains the property of WCS and stays almost unchanged Courant‐Friedrich‐Levy stability condition as compared to the conventional WCS‐FDTD scheme. The theoretical derivation of the iterative formulation and the analysis of the numerical dispersion are given in detail. The numerical example is presented to demonstrate that the developed scheme has significantly improved the accuracy of the one‐step leapfrog WCS‐FDTD scheme without sacrificing efficiency.

中文翻译：

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精度更高的3D人工各向异性单步越级弱条件稳定有限差分时域算法

在这封信中，提出了一种3D优化的单步越级弱条件稳定性有限差分时域（WCS-FDTD）方案，该方案将人工各向异性参数引入了单步越级WCS-FDTD方案中，以抑制在不增加仿真复杂度的情况下，减小数值色散误差并提高精度。与常规的WCS-FDTD方案相比，拟议的方案保留了WCS的特性，并且几乎保持了Courant-Friedrich-Levy稳定条件。详细给出了迭代公式的理论推导和数值色散的分析。数值算例表明，所开发的方案在不牺牲效率的情况下，极大地提高了一步式越级WCS-FDTD方案的准确性。