Hou Jia, Li Haifeng, Wu Rengmao, Liu Peng, Zheng Zhenrong, Liu Xu
State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hang Zhou 310027, China.
Appl Opt. 2013 Apr 10;52(11):2294-9. doi: 10.1364/AO.52.002294.
This paper proposes a method of designing two aspheric surfaces simultaneously for an imaging system. By coupling the three rays (two marginal rays and one chief ray from the exit pupil) of each field of view to their corresponding image point, microspherical lens corresponding to each field of view can be obtained by the refraction law. Profiles of the aspheric surfaces can be obtained by employing the position and normal vector of midpoint of the microsphere corresponding to each field of view. Theoretically, through this method, we can realize any mapping relationship between the object points and their image points in 2D. Combining an original projector with the aspheric lens designed in this paper, an example that realizes projection onto a spherical surface with both low distortion and high image quality is presented.
本文提出了一种为成像系统同时设计两个非球面的方法。通过将每个视场的三条光线（两条边缘光线和一条来自出射光瞳的主光线）耦合到它们相应的像点，利用折射定律可以得到每个视场对应的微球透镜。通过使用每个视场对应的微球中点的位置和法向量，可以得到非球面的轮廓。理论上，通过这种方法，我们可以实现二维物点与其像点之间的任何映射关系。将原始投影仪与本文设计的非球面透镜相结合，给出了一个实现低失真和高图像质量的球面投影的示例。
