A fast, easily implemented and high efficiency algorithm for time fractional Maxwell’s system is constructed. The algorithm is based on recently developed the sum-of-exponentials (SOE) approximation and Finite-Difference Time-Domain (FDTD) method. A particular feature of our proposed algorithm is that it can achieve high efficiency with no loss in accuracy. The computing process of our algorithm in detail is derived. Numerical experiments in 2D and 3D are presented to verify the efficiency and correctness of our proposed algorithm.

中文翻译：

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用于2D / 3D时间分数Maxwell系统的高效FDTD算法

构造了时间分数麦克斯韦系统的快速，易于实现和高效的算法。该算法基于最近开发的指​​数和（SOE）近似和有限差分时域（FDTD）方法。我们提出的算法的一个特殊特征是它可以在不损失准确性的情况下实现高效率。详细推导了我们算法的计算过程。进行了2D和3D数值实验，验证了所提算法的有效性和正确性。