基于网格矢高的自由曲面反射镜设计方法  

Design method for freeform surface reflectors based on grid sag

作　　者：林艺华 李刚 徐伟龙 闫栋 赵一轩 LIN Yihua;LI Gang;XU Weilong;YAN Dong;ZHAO Yixuan(Yuexiu(China)Transportation Infrastructure Investment Co.,Ltd,Guangzhou 510062,China;Guangzhou North Second Ring Road Transportation Technology Co.,Ltd,Guangzhou 510062,China;Harbin Institute of Technology,School of Instrumentation Science and Engineering,,Harbin150000,China)

机构地区：[1]越秀(中国)交通基建投资有限公司,广州510062 [2]广州市北二环交通科技有限公司,广州510062 [3]哈尔滨工业大学,仪器科学与工程学院,哈尔滨150000

出　　处：《光学技术》2025年第2期164-168,共5页Optical Technique

基　　金：国家重点研发计划(2023YFF0722801)。

摘　　要：自由曲面在紧凑型复杂光学系统中占有重要地位,自由曲面设计及自由曲面描述方法是自由曲面应用的关键。文章提出基于网格矢高的自由曲面设计方法,以光线为研究对象,将成像和非成像相结合,利用非成像理论计算自由曲面离散点坐标,将其拟合为自由曲面作为基底曲面,将离散点与基底曲面的偏差设为补偿量,然后利用成像光学理论同时优化基底和补偿量,直到满足系统设计要求。利用该方法设计了一个自由曲面反射镜光学整形系统,照度均匀性90%以上,畸变小于2%。该方法可用于隧道照明、车灯照明、光伏聚光系统等非成像领域的自由曲面设计,也适用于大视场、离轴、超短焦等成像系统的自由曲面设计。Freeform surfaces play an important role in compact and complex optical systems. The design and description methods of freeform surfaces are key to their applications. A freeform surface design method based on grid sag is proposed by this paper, with light rays being taken as the research object and imaging optics being combined with non-imaging optics. Non-imaging theory is used to calculate the coordinates of discrete points on the freeform surface, which are then fitted to form a base surface. The deviation between the discrete points and the base surface is set as the compensation amount. Subsequently, imaging optical theory is employed to optimize both the base surface and the compensation amount simultaneously, until the system design requirements are met. Using this method, an optical shaping system with a freeform surface reflector is designed, achieving illuminance uniformity of over 90% and distortion of less than 2%. This method can be applied to the design of freeform surfaces in non-imaging fields such as tunnel lighting, automotive lighting, and photovoltaic concentrating systems, as well as in imaging systems with large field of view, off-axis, and ultra-short throw projection system.

关 键 词：网格矢高 自由曲面设计 几何构造法 光束整形 照度均匀性 

分 类 号：TH74[机械工程—光学工程]