Lin Psang Dain, Tsai Chung-Yu
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan.
J Opt Soc Am A Opt Image Sci Vis. 2012 Jun 1;29(6):1141-53. doi: 10.1364/JOSAA.29.001141.
A set of algorithms is proposed for determining the first-order derivatives of a skew ray with respect to all the independent variables of an aspherical boundary surface in a general 3D optical system. Ellipsoidal, paraboloidal, hyperboloidal, and cylindrical boundary surfaces are given as examples. The proposed method has important applications in the analysis of aspherical surfaces and enables a detailed understanding of a wide variety of optical effects, including reflection and refraction, the modulation transfer function, and aberrations.
提出了一组算法，用于确定一般三维光学系统中倾斜光线相对于非球面边界曲面所有自变量的一阶导数。以椭球面、抛物面、双曲面和圆柱面边界曲面为例。所提出的方法在非球面分析中具有重要应用，能够详细理解包括反射和折射、调制传递函数以及像差在内的各种光学效应。
