Cheng De-Wen, Chen Xue-Jiao, Xu Chen, Hu Yuan, Wang Yong-Tian
Appl Opt. 2015 Dec 1;54(34):10154-62. doi: 10.1364/AO.54.010154.
The relentless pressure for designs with new optical functions, small volume, and light weight has greatly increased the importance of aspheric surfaces. In this paper, we propose an annularly stitched aspheric surface (ASAS) description method to increase the freedom and flexibility of imaging system design. The rotationally symmetric ASAS consists of a circular central zone and one or more annular zones. Two neighboring zones are constrained to have the same derivatives on their joint curve, and this means the ASAS is C1 continuous. This finding is proved and verified by the mathematical deduction of the surface formulas. Two optimization strategies and two design methods with the C1 continuous constraints are also discussed. This surface can greatly facilitate the design and even achieve some previously impossible designs without increasing the fabrication difficulty. Two different systems with the proposed ASAS are optimized and the results are presented. The design results verified the practicability of the ASAS.
对具有新光学功能、小体积和轻重量设计的持续压力极大地增加了非球面的重要性。在本文中，我们提出一种环形拼接非球面（ASAS）描述方法，以提高成像系统设计的自由度和灵活性。旋转对称的ASAS由一个圆形中心区域和一个或多个环形区域组成。两个相邻区域在其连接曲线上被约束为具有相同的导数，这意味着ASAS是C1连续的。这一发现通过曲面公式的数学推导得到证明和验证。还讨论了两种优化策略以及具有C1连续约束的两种设计方法。这种曲面可以极大地促进设计，甚至在不增加制造难度的情况下实现一些以前无法实现的设计。对采用所提出的ASAS的两种不同系统进行了优化并给出了结果。设计结果验证了ASAS的实用性。
