针对染料随机激光器特性与应用研究，讨论了无序介质中荧光粒子和额外散射粒子的发光性质、浓度变化以及颗粒尺寸与随机激光发射阈值之间的关系。采用时域有限差分法直接求解Maxwell方程组及速率方程组的方法，模拟仿真出了相应的发射谱线及浓度变化与激光发射阈值的关系曲线。所设计的样品中Rh6G-SiO2的质量分数为4%，其阈值大小为8.5 μJ/pulse时，额外微小散射体TiO2的加入对该介质随机激光发射产生的影响很小，可忽略不计。在此基础上，通过进一步模拟分析了处于不同条件和背景下随机激光的阈值特性。

For the property and application of dye random laser, the relations among the random laser emission threshold, luminescent properties, number density change and particle size of fluorescence particles and additional scattering particles in disorder media were discussed. Using the finite difference time domain (FDTD) method to solve Maxwell’s equations and rate equations directly, the curves of number density and emission line changing with laser emission threshold were simulated. When the mass fraction of Rh6G-SiO2 was 4% and the threshold was 8.5 μJ/pulse, the influence of additional TiO2 particles on random lasing was small enough to be neglected. Furthermore, we also simulated the threshold characteristics of random lasing in variety of conditions and background media.