Finite difference time domain dispersion reduction schemes
Finite difference time domain dispersion reduction schemes
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DOI：
10.1016/j.jcp.2006.06.016
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
B. Finkelstein;R. Kastner
中科院分区：
文献类型：
--
作者：
B. Finkelstein;R. Kastner
时域有限差分法(FDTD)是解决复杂电磁问题的一种灵活、健壮、易于实现的方法，但存在数值色散误差。除了传统的减小色散的方法，即提高采样率和使用更高阶次的精度外，最近还提出了一些方案。在这项工作中，提出了一种统一的方法来推导新的差分格式。它是基于任何给定的离散化形式的波动方程所伴随的特征方程的某些修改。该方法与现有方案进行了适当的比较，并进行了数值验证。
The finite-difference-time-domain (FDTD), although recognized as a flexible, robust and simple to implement method for solving complex electromagnetic problems, is subject to numerical dispersion errors. In addition to the traditional ways for reducing dispersion, i.e., increasing sampling rate and using higher order degrees of accuracy, a number of schemes have been proposed recently. In this work, an unified methodology for deriving new difference schemes is presented. It is based on certain modifications of the characteristic equation that accompanies any given discretized version of the wave equation. The method is duly compared with existing schemes and verified numerically.