Kassim A M, Shealy D L, Burkhard D G
Appl Opt. 1989 Feb 1;28(3):601-6. doi: 10.1364/AO.28.000601.
The two caustic surfaces, which are in turn the loci of the image points, are formed in the image region by each element of the source of an optical system. Lens optimization is achieved herein by adjusting parameters so that the caustic surfaces formed by rays from selected points of the object coalesce and converge to the corresponding Gaussian image points. A merit function, specifying the sum of the distances between each caustic surface and the corresponding Gaussians image, is defined and minimized subject to the constraints that the system focal length and physical length are constant and that the third-order aberrations of the system are zero. An optimization procedure, based on minimizing the caustic merit function, is used to design a singlet, doublet, and triplet lens system.
两个焦散面，它们依次是像点的轨迹，由光学系统光源的每个元件在像区域中形成。本文通过调整参数来实现透镜优化，以使来自物体选定各点的光线所形成的焦散面合并并汇聚到相应的高斯像点。定义了一个评价函数，该函数指定每个焦散面与相应高斯像之间的距离之和，并在系统焦距和物理长度恒定以及系统的三阶像差为零的约束条件下使其最小化。基于最小化焦散评价函数的优化程序用于设计单透镜、双透镜和三透镜系统。
