为求出自适应光学系统的最优校正电压, 提出了一种基于改进奇异值分解的闭环迭代控制算法。该算法可通过调节控制参量g1,g2和w,优化模式的收敛速度, 使控制信号快速收敛到一个可靠的局部最优解。搭建基于微机械薄膜变形镜(MMDM)的自适应光学系统, 测量光学影响函数并验证单个电极电压和镜面变形之间的准平方线性关系, 以及各个驱动器电极响应之间的线性叠加性。分别采用模拟眼和人眼出射波前作为原始波前进行实验。实验结果表明, 改进算法能快速有效地对静态或动态畸变波前进行校正, 为基于MMDM的自适应光学系统提供了算法支持。

In order to obtain the optimal control voltages of adaptive optics system, an closed-loop iterative control algorithm based on improved singular value decomposition is proposed. By adjusting parameters g1, g2 and w, the convergent velocity of model can be optimized, and the control signal can converge a reliable local optimal solution rapidly. An adaptive optical system based on micromachined membrane deformable mirror(MMDM) which optical influence functions of every actuator are measured is built. The quasi-square relationship between voltage and displacement of an actuator and the quasi-linear superposing among the actuators are experimentally verified. Wavefront from a model eye and a human eye are used respectively as the incident wavefront of adaptive optics system. Experimental results show that the improved algorithm can correct static and dynamic distorted wavefront aberration rapidly and effectively, is very suitable for adaptive optical system based on MMDM.