Abstract
The geometrical method for constructing optical surfaces for illumination purpose developed by Oliker and co-workers [Trends in Nonlinear Analysis (Springer, 2003)] is generalized in order to obtain freeform designs in arbitrary optical systems. The freeform is created by a set of primitive surface elements, which are generalized Cartesian ovals adapted to the given optical system. Those primitives are determined by Hamiltonian theory of ray optics. The potential of this approach is demonstrated by some examples, e.g., freeform lenses with collimating front elements.
© 2011 Optical Society of America
Full Article | PDF ArticleOSA Recommended Articles
Xianglong Mao, Hongtao Li, Yanjun Han, and Yi Luo
Opt. Express 23(4) 4313-4328 (2015)
Rengmao Wu, Haifeng Li, Zhenrong Zheng, and Xu Liu
Appl. Opt. 50(5) 725-732 (2011)
Zhenfeng Zhuang, Phil Surman, and Simon Thibault
Appl. Opt. 56(32) 9090-9097 (2017)