Rigler A K, Vogl T P
Appl Opt. 1971 Jul 1;10(7):1648-51. doi: 10.1364/AO.10.001648.
This paper offers an alternative to current practice in the specification of aspheric optical surfaces. Spline functions, a numerical analog of a flexible draftsman's curve, are used to represent a rotationally symmetric aspheric surface. We develop the interpolation formulas pertinent to ray tracing and apply an optimization procedure to design a simple Schmidt system as an illustration. We conclude by showing that the new formulation seems to be more compatible with the optimization process than the usual polynomial aspheric.
本文提供了一种不同于当前非球面光学表面规格制定方法的替代方案。样条函数，一种类似于灵活绘图员曲线的数值模拟，被用于表示旋转对称的非球面表面。我们推导了与光线追迹相关的插值公式，并应用优化程序设计了一个简单的施密特系统作为示例。我们通过表明新公式似乎比通常的多项式非球面更与优化过程兼容来得出结论。
