基于随机激光的时域理论，利用时域有限差分法(FDTD)数值求解麦克斯韦方程组和速率方程组，分别计算了二维无序介质中抽运速率和散射颗粒折射率对随机激光辐射的影响，同时还分析了介质中不同区域的输出谱和空间模式分布。计算结果显示，对于二维随机介质，在其他条件保持不变的情况下，散射颗粒折射率与背景介质折射率差越大，随机激射的阈值越低。介质中不同区域的辐射谱是不同的，且随着激励源抽运强度而变化。随机激光辐射始终集中在介质中某几个固定区域，但各个区域的随机激射效率是不同的，同时在区域之间存在模式的空间范围重叠。

Based on the time dependent theory, the random laser emission in two-dimensional disordered medium with different pumping rates and refractive indices is calculated. The spatial distributions of emission spectra and lasing modes are also analyzed. The calculated results show that the larger the difference of refractive index between scattering medium and background medium is, the smaller the lasing threshold is. The emission spectra of different regions are different, and change with the intensity of pump source. The lasing emission is mainly distributed in some certain regions, the pumping efficiency is different for these certain regions, and spatial extent overlap of modes is produced between regions.