Kleinhans W A
Appl Opt. 1976 Sep 1;15(9):2283-8. doi: 10.1364/AO.15.002283.
An interesting class of optical systems consists of conic mirrors arranged so that each mirror shares at least one focus with the optically adjacent mirrors. This paper presents simple results for several of the aberrations largely independent of the details of the configuration. Results are presented for sine law violation and third order astigmatism when the images are located at the focii of the mirrors and for astigmatism and distortion when the pupils are located at the foci. In both cases the system is equivalent to a single conic mirror having the same magnification and focal length. It is shown that there are configurations for which both the images and the pupils lie at foci, and for these all the above results apply. The exact shape of the image surface is obtained for such a system in which all the mirrors are parabolas.
一类有趣的光学系统由圆锥面镜组成，这些圆锥面镜的排列方式使得每个镜子与光学上相邻的镜子至少共享一个焦点。本文给出了几个主要与配置细节无关的像差的简单结果。给出了图像位于镜焦点处时的正弦定律违反和三阶像散的结果，以及光瞳位于焦点处时的像散和畸变的结果。在这两种情况下，该系统等效于一个具有相同放大率和焦距的单个圆锥面镜。结果表明，存在图像和光瞳都位于焦点处的配置，对于这些配置，上述所有结果都适用。对于一个所有镜子都是抛物面镜的这样一个系统，得到了像面的确切形状。
