自适应光学系统的数值模拟：动态控制过程和频率响应特性

对自适应光学系统的动态控制过程进行了数值模拟。与自动控制理论的解析分析相比，动态控制过程的数值模拟有其优越性。系统的频率响应特性与动态控制性能密切相关，对自适应光学系统的频率响应特性也进行了数值模拟。模拟计算的结果与实验测量结果符合得很好。还实现了多频率成份的同时计算，可以大大提高计算效率。其结果与单频率结果只在低频下有小的差别，可以满足得到带宽和裕量等参数的实用要求。将频率响应特性的模拟计算与长时间曝光斯特列耳（Strehl)比的数值模拟结合，可得到对自适应光学系统性能的有效评估。

Numerical Simulation of an Adaptive Optics System: Dynamic ControlProcess and Frequency Response Characteristics

A numerical simulation of the dynamic control process in an AO system is carried out to complete a comprehensive numerical simulation of an AO system. In comparison to the theoretical analyses of automatic control, the numerical simulation of dynamic control process in an AO system is advantageous. The frequency response characteristics are closely related to the dynamic control performance of an AO system. A numerical simulation of the frequency response characteristics in an AO system is presented as well. The numerical simulation results agree with the experimental data excellently. The simulation calculation results of frequency response by using composite input of multiple frequencies are comparable to the single-frequency simulation results quite well and usable to determine the practical parameters of bandwidth and margins. The computing time of multi-frequency simulation calculation is much shorter than that of the single-frequency simulation calculation. The performances of an AO system can be effectively investigated by means of a combination of the numerical simulation of frequency response characteristics with that of long-exposure Strehl ratio.