复杂光学系统的全局优化

逃逸函数法是目前最为实用的光学系统全局优化算法之一。这种全局优化的运行由多个不加或加入逃逸函数的阻尼最小二乘法局部优化组成。探讨了提高其优化效率的方法，提出了两个搜索机制以便提高各个局部优化的效率。首先搜索最佳阻尼因子，从而确定多维结构变量空间中解向量的最优方向；再沿该方向搜索解向量的最优长度。此外，用实验方法确定了逃逸函数的控制参数的最佳缺省值。在此基础上成功地研制了实用化的复杂光学系统全局优化程序。

Global Optimization for Complex Optical Systems

The escape function algorithm is one of the most practical global optimization algorithm for optical design published so far. This type of global optimization consists of many local optimization runs with or without the excape function using the damped least squares method. To make the algorithm more efficient and powerful, two search schemes are proposed to improve the efficiency of the local optimization runs. The first one searches for the best damping factor which effectively determines the optimum direction of the solution vector in the multi dimensional variable space, and the second search is conducted along that direction to find the optimum length of the solution vector. Experiments are also made to determine the optimum default values for the control parameters of the escape function. The algorithm is successfully implemented in the GOLD program, which becomes an optical software package with a practical global optimization feature for the design of complex optical systems.