Shealy D L, Saha T T
Appl Opt. 1990 Jun 1;29(16):2433-9. doi: 10.1364/AO.29.002433.
A formula for the rms blur circle for Wolter telescopes has been derived using the transverse ray aberration expressions of Saha, Appl. Opt. 24, 1856-1863 (1985), Saha, Proc. Soc. Photo-Opt. Instrum. Eng. 444, 112-117 (1984), and Saha, Proc. Soc. Photo-Opt. Instrum. Eng. 640, 10-19 (1986). The resulting formula for the rms blur circle radius over an image plane and a formula for the surface of best focus are based on third-, fifth-, and seventh-order aberration theory predict results in good agreement with exact ray tracing. It has also been shown that one of the two terms in the empirical formula of VanSpeybroeck and Chase, Appl. Opt. 11, 440-445 (1972), for the rms blur circle radius of a Wolter I telescope can be justified by the aberration theory results. Numerical results are given comparing the rms blur radius and the surface of best focus vs the half field angle computed by skew ray tracing and from analytical formulas for grazing incidence Wolter I-II telescopes and a normal incidence Cassegrain telescope.
利用萨哈发表于《应用光学》第24卷，第1856 - 1863页（1985年）、《光学仪器工程师学会会刊》第444卷，第112 - 117页（1984年）以及《光学仪器工程师学会会刊》第640卷，第10 - 19页（1986年）中的横向光线像差表达式，推导出了沃尔特望远镜均方根模糊斑的公式。所得出的关于像平面上均方根模糊斑半径的公式以及最佳聚焦面的公式，基于三阶、五阶和七阶像差理论，其预测结果与精确光线追迹结果吻合良好。研究还表明，范斯派布罗克和蔡斯发表于《应用光学》第11卷，第440 - 445页（1972年）的关于沃尔特I型望远镜均方根模糊斑半径的经验公式中的两项之一，可以通过像差理论结果得到论证。给出了数值结果，比较了均方根模糊半径和最佳聚焦面与通过倾斜光线追迹以及针对掠入射沃尔特I - II型望远镜和正入射卡塞格伦望远镜的解析公式计算出的半视场角的关系。
