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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-domain theory of stochastic laser, Maxwell’s equations and velocity equations are solved numerically by finite difference time-domain (FDTD) method and the effects of the pumping rate and the refractive index of the scattering particles on the stochastic laser radiation are calculated respectively , But also analyzes the distribution of output spectrum and spatial pattern of different regions in the media. The calculated results show that for two-dimensional random media, the larger the difference between the index of refraction of the scattering particles and the background medium, the lower the threshold of random lasing under other conditions remain unchanged. The radiation spectra of different regions in the medium are different and vary with the pump pumping intensity. Stochastic laser radiation is always concentrated in a few fixed areas in the medium, but the random lasing efficiency is different in each area, and there is overlap of the spatial range of modes in the area.