影像科学与光化学 ›› 2016, Vol. 34 ›› Issue (1): 36-42.DOI: 10.7517/j.issn.1674-0475.2016.01.036

• 论文 • 上一篇    下一篇

基于自由曲面的LED准直透镜设计

张巧淞1,2, 徐春云1,2, 程灏波1,2,3, TAM Hon Yuen3   

  1. 1. 北京理工大学光电学院光机电工程联合研究中心, 北京 100081;
    2. 北京理工大学深圳研究院, 广东深圳 518057;
    3. 香港城市大学机械与生物医学工程系, 香港 999077
  • 收稿日期:2015-10-23 修回日期:2015-11-24 出版日期:2016-01-15 发布日期:2016-01-15
  • 通讯作者: 程灏波
  • 基金资助:

    国家自然科学基金项目(61308075)和北京市自然科学基金项目(2132047,4144083)资助

Freeform Surface Design for a LED Based Collimating Lens

ZHANG Qiaosong1,2, XU Chunyun1,2, CHENG Haobo1,2,3, TAM Hon Yuen3   

  1. 1. Joint Research Center for Optomechatronics Engineering, School of Optoelectronics, Beijing Institute of Technology, Beijing 100081, P. R. China;
    2. Shenzhen Research Institute, Beijing Institute of Technology, Shenzhen 518057, Guangdong, P. R. China;
    3. Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Hong Kong 999077, P. R. China
  • Received:2015-10-23 Revised:2015-11-24 Online:2016-01-15 Published:2016-01-15

摘要:

本文基于准直光束照明的自由曲面透镜设计方法,设计了一种以单颗LED为光源的准直透镜,其可应用于投影仪的照明系统。根据几何光学原理构造自由曲面,该方法无需求解复杂的偏微分方程,计算简单。准直透镜由内自由曲面折射面、球面、抛物面全反射曲面以及平面组成,利用Matlab编程求出自由曲面轮廓曲线的离散数据点,导入Solidworks中进行曲线拟合,建立透镜的实体模型。为探讨LED光源尺寸对准直透镜光斑影像的影响,在Tracepro中对透镜进行非序列光线追迹,模拟结果表明:当光源半径不大于1 mm时,其光学效率达到86.26%以上,视场半角达到3.3度以内。

关键词: LED, 准直, 二次光学设计, 自由曲面

Abstract:

A freeform collimating lens is designed based on a single lighting emitting diode (LED) to achieve collimated lightbeam. According to the principle of geometric optics, the method does not need solve the complex partial differential equations which is simple.The collimating lens consists of an inner freeform refractive surface, a part of spherical surface, a total internal reflection and a flat plane surface. The discrete points of freeform surface profile curve are calculated by Matlab and fitted the points to the three-dimensional entity model by Solidworks. In order to investigate the effect of LED light source size to collimating lens flare image, non-sequential ray trace is analyzed by Tracepro software. Computer simulation results show that an optical efficiency of 86.258% and a semi-view-angle of 3.3° is achieved for a 1 mm LED.

Key words: LED, collimating, secondary optical design, freeform surface