光学非球面元件非球面度计算方法

详细介绍光学非球面元件非球面度计算的牛顿迭代法、近似法、最小二乘法3种方法，并根据工程实践比较了3种方法的优缺点，得出了工程应用中的结论：近似法适用于一些相对孔径较小的非球面，否则误差会较大；牛顿迭代法的精度较高，但计算量大也最复杂，且不能直接得到最接近参考圆的圆心位置坐标；最小二乘法的计算方法简单，不涉及求导、积分、迭代，适合编写计算程序，且可直接得到最接近参考圆的圆心位置坐标。

THE METHOD OF CALCULATION TO ASPHERICITY OF OPTICAL ASPHERIC SURFACE COMPONENT

The three methods of calculation(the approximate method, the Newton iterative method, the least square fitting) to asphericity of optical aspheric surface component are carefully described.By engineering practice we compared their merits and defects,and draw conclusion:The approximate method is applied to some small aperture aspheric surface,otherwise its precision is low. The precision of Newton iterative method is the better, but its calculating quantity is large and complex, moreover it can't get coordinate of center of the best fitting reference circle. The least square fitting method is simple and prone to program without derivative, integration and iterative, furthermore it can work out the coordinate of center of the best fitting reference circle.