Based on an auxiliary differential equation (ADE) and a new temporal basis function, we propose a 3-D ADE finite-difference time-domain method (FDTD) with weighted Laguerre polynomials (WLPs), 3-D ADE-WLP-FDTD for short, to calculate wave propagation in general dispersive materials. Our proposed method introduces a linear combination of three WLPs as a temporal basis to improve computational efficiency and reduce memory usage. The ADE technique, which can effectively model dispersive media, was used to establish the relationship between the electric displacement vector and electric field intensity. Two numerical examples were presented to validate the advantages of the proposed approach. The simulation results reveal that compared with the conventional ADE-WLP-FDTD method, the proposed method can speed up the computational process and reduce memory usage with comparable accuracy.

中文翻译：

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具有新的波传播时间基础的通用 ADE-WLP-FDTD 方法


基于辅助微分方程 (ADE) 和新的时间基函数，我们提出了一种具有加权拉盖尔多项式 (WLP) 的 3-D ADE 时域有限差分方法 (FDTD)，3-D ADE-WLP-FDTD简而言之，计算一般色散材料中的波传播。我们提出的方法引入了三个 WLP 的线性组合作为时间基础，以提高计算效率并减少内存使用。 ADE技术可以有效地模拟色散介质，用于建立电位移矢量与电场强度之间的关系。提出了两个数值例子来验证所提出方法的优点。仿真结果表明，与传统的ADE-WLP-FDTD方法相比，该方法可以在相当的精度下加快计算过程并减少内存使用。