四阶指数差分及其在FDTD中的应用

A fourth-order exponential difference scheme and it's applications in FDTD

提出一种新的指数差分格式。与普通的二阶中心差分格式相比,该格式具有在不增加存储量的前提下提高计算精度的优点。文中用实例验证了该差分格式的高精度性。最后,应用该方法计算了圆柱凹面反射的问题,得出凹面内场的分布图。

This paper describes a new exponential scheme. It is shown that the new scheme has the virtue of high precision without increasing memory requirement compared to two-order center scheme. Accuracy of the new approach is verified by numerical examples. At the end of this paper, the problem of reflection of column concave surface is calculated, and the field distribution of concave surface is given.