Croke Christopher B, Hicks R Andrew
J Opt Soc Am A Opt Image Sci Vis. 2014 Sep 1;31(9):2097-104. doi: 10.1364/JOSAA.31.002097.
Here we present a method for the coupled design of four freeform reflective surfaces that will control a bundle of rays. By this, we mean that given an input bundle of rays, we can construct an optical system that will map it to a given output bundle, where a ray-to-ray correspondence is realized as per the prescribed data. The method makes use of the Cartan-Kähler theorem of exterior differential systems. Sample imaging applications are given.
在此，我们提出一种用于耦合设计四个自由形式反射面的方法，该方法可控制一束光线。具体而言，给定一束输入光线，我们能够构建一个光学系统，将其映射到给定的输出光线束，其中光线与光线之间的对应关系是根据规定数据实现的。该方法利用了外微分系统的嘉当 - 凯勒定理。文中给出了一些成像应用示例。
