针对F 数为4 的高次非球面，设计了一套基于平行光束照射的高精度补偿器。系统工作波长为632.8 nm，设计残差为0.0018 λ 。提出了求解两片检测透镜组成补偿器初始结构的新方法。该方法合理假设补偿器部分结构参数，通过判断补偿器与非球面的Seidel 系数之和最小获得未知参数。比较非球面在补偿器第一面位置处的高斯像高与假设的入射平行光高度，通过MATLAB 迭代计算得到高度差小于预设误差，进而确定平行光入射高度。重新复算得到最终的初始结构。最后将迭代计算得到的各个面Seidel 系数和ZEMAX 给出的结果进行比较，证实了该方法的可靠性。

To test a aspheric surface with F-Number of 4, a highly precise compensation system which is parallel light compensator system is designed. The design wavelength is 632.8 nm and the design residual is 0.0018 λ . A new method of solving the initial compensator structure which is composed of two lenses is discussed. Partial structure parameters are assumed in reason and the other parameters are calculated when the sum of Seidel coefficients from compensator and aspheric surface is the smallest. With the help of MATLAB, the Gauss image height of aspheric surface at the first surface of the compensator is compared with that of parallel light until the iterative error is less than preinstall. Thus the height of parallel light is fixed. Finally, retry to calculate the final initial compensator structure. Each surface′ s Seidel coefficient from iterative calculation is compared with that from ZEMAX, and the result verifies the reliability of this method.