An optimised low numerical dispersion unconditionally stable finite-difference time-domain (FDTD) method based on the isotropic dispersion (ID) scheme and weighted Laguerre polynomials (WLP) is presented. The proposed method adopts a scaling factor for permittivity and permeability in the ID-WLP-FDTD method, which can generate almost the exact phase velocity for a single frequency. In contrast with the traditional WLP-FDTD method and ID-WLP-FDTD method, the numerical dispersion of the new method is significantly reduced, and the proposed method can guarantee high accuracy and high efficiency simultaneously.

中文翻译：

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基于比例因子的优化低色散ID-WLP-FDTD方法

提出了一种基于各向同性色散（ID）方案和加权拉盖尔多项式（WLP）的优化的低数值色散无条件稳定有限差分时域（FDTD）方法。所提出的方法在 ID-WLP-FDTD 方法中采用介电常数和磁导率的比例因子，可以生成几乎精确的单个频率的相速度。与传统的WLP-FDTD方法和ID-WLP-FDTD方法相比，新方法的数值色散显着降低，并且该方法可以同时保证高精度和高效率。