光学系统计算机辅助装调中的一种优化算法

如何快速、准确、稳定地确定失调量是光学系统计算机辅助装调技术的一个关键部分.本文首先进行数学建模,建立了失调量与引入像差的关系式,然后提出了求解失调量的伪逆及奇异值巩固逆算法,以解决直接按最小二乘法方程组求解所带来的数值不稳定性及解的不精确性问题.最后,利用本文所建立的数值分析模型,进行了模拟计算,计算结果表明,本文的计算方法是合理可行、有效的.

Algorithm for misalignmental determination in computer-aided alignment of optical system

How to determine the misalignment quickly, exactly and constantly is the key to the technology of computer-aided optical alignment. First, the mathematical simulation, which is the relationship between the misalignment and the aberrations is founded. Then, the concept of pseudoinverse and the algorithm of the singularity robust inverse are proposed in order to solve the problems of the numerical instability and the result inaccuracy which result from the solution for leastsquares method directly. Finally, the simulant calculation is processed using the numerical analysis model established in this essay. The result shows that the computation method is rational and effective.