一种分析稠密随机媒质的新方法

A Novel Method for Analyzing Dense Discrete Random Medium

一种基于FDTD法的数值方法用来分析稠密离散随机媒质。本文采用在FDTD法的差分网格中进行随机填充来模拟随机媒质，并求解其瞬态电磁散射场。然后对该散射场曲线的分形维数进行了计算，数值结果表明，稠密离散随机媒质的瞬态散射场的分数维数与其数密度之间在一定范围内存在线性函数关系。

In this paper, a novel method for studying dense discrete random medium in two dimensions is presented based on the FDTD method. Some small squares are random placed at the FDTD mesh to obtain the random medium model. The transient scattered fields of the random medium and the fractal dimensions of the scattered fields have been calculated. The numerical result show that the fractal dimensions have a linear function relation with the medium density of the discrete random medium in some domain.