A novel unconditionally stable finite-difference time-domain (FDTD) electromagnetic simulation method based on the weighted Laguerre polynomials (WLPs) and isotropic dispersion (ID) finite difference scheme is proposed, which introduces WLPs in the time domain and ID finite difference scheme in the space domain. Based on the analysis of monochrome waves, its numerical dispersion relation is obtained. In order to verify the superiority of this method, an example of plane wave propagation in a 2-D dielectric-loaded cavity is given. Compared with the conventional WLP-FDTD method, this method not only keeps good simulation accuracy but also requires less computing time and memory.

中文翻译：

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一种具有低数值色散的新型无条件二维 ID-WLP-FDTD 方法

提出了一种基于加权拉盖尔多项式(WLP)和各向同性色散(ID)有限差分格式的无条件稳定时域有限差分(FDTD)电磁仿真方法，在时域中引入了WLP和ID有限差分格式。空间域。通过对单色波的分析，得到其数值色散关系。为了验证该方法的优越性，给出了二维介质加载腔中平面波传播的例子。与传统的 WLP-FDTD 方法相比，该方法不仅保持了良好的仿真精度，而且需要更少的计算时间和内存。