对激光通过大气传输的主要非线性过程进行数值模拟，列出大气的流体动力学方程组和与大气互作用的波方程.推导出受激热瑞利散射引起的小扰动不稳定性的波与大气的耦合方程，还对湍流作了处理，依据这些理论基础，编制了一套四维程序，用来模拟热晕及补偿、小扰动不稳定性、热晕与湍流的互作用过程.理论结果和实验十分符合.

The simulation of the nonlinear effects of laser atmospheric propagation is reported in this paper. A set of atmospheric hydrodynamics equations and nonlinear electromagnetic wave equation which interacts the atmosphere are given. The wave equation describing the stimulated thermal Rayleigh Scattering(STRS) induced small perturbation instability is derived. And turbulence is theoretically treated. Basing on thais equations, we per formed a set of 4D programs(TURBLM) to simulate thermal blooming and phase compensation for it, small perturbation instability, and the interation of turbulence with thermal blooming. The simulated results accord with theories and experiments.