非线性热晕效应对高能激光大气传输有重要的影响,一个可以用来预测和评价高能激光在不同传输条件下自适应光学系统补偿效果的定标规律对实际的工程应用有重要的意义。利用激光大气传输四维仿真程序,通过仿真不同空间带宽的自适应光学系统,在均匀路径下,对不同发射口径、不同传输距离聚焦光束稳态热晕的相位补偿进行了数值计算。结果表明,自适应光学系统空间带宽对聚焦光束热晕效应的相位补偿影响差别不大,使用广义畸变参数N可以较好地定标其相位补偿效果。 The non-linear thermal halo effect has an important influence on high-energy laser atmospheric transmission. A calibration rule that can be used to predict and evaluate the compensation effect of adaptive optical system under different transmission conditions is of great significance for practical engineering applications. A four-dimensional simulation program of laser atmospheric transmission was used to simulate the phase compensation of steady-state thermal haloes with different transmitting apertures and different transmission distances under the uniform path by simulating adaptive optical systems with different spatial bandwidths. The results show that the effect of the spatial bandwidth of adaptive optics system on the phase compensation of the thermal halo effect of the focused beam is not significant. The phase compensation effect can be calibrated well using the generalized distortion parameter N.