对由大行程变形镜和高空间频率变形镜组成的双变形镜自适应光学系统中的像差解耦原理和限定像差校正算法做了理论分析。认为在高空间频率变形镜的斜率响应矩阵中加入限定像差向量,根据直接斜率法分别计算出两个变形镜的控制电压,可以实现两个变形镜分别对低阶像差和高阶像差的闭环校正。仿真研究了19单元变形镜和61单元变形镜组成的双变形镜自适应光学系统对低阶像差和高阶像差分别校正的情况,结果说明双变形镜自适应光学系统的校正效果与理想行程的单变形镜自适应光学系统的校正效果相当,避免了制作同时具有大行程和高空间频率两个特征的变形镜。

A theoretical study of the aberration decoupling and the algorithm of aberration limited for a double mirrors adaptive optical system including a large scale stroke deformable mirror and a high spatial frequency deformable mirror is presented. By adding a limitative aberration vector in the gradient response matrix of high spatial deformable mirror, the voltage of actuators of two deformable mirrors is calculated, and the two deformable mirrors can correct the low-order aberration and high-order aberration respectively. The situation that double deformable mirrors in an adaptive optical system correct the low-order aberration and high-order aberration respectively has been simulated. The result indicates that the close-loop correction performance of double deformable mirrors adaptive system is almost the same as that of the adaptive optical system with an ideal stroke deformable mirror.