基于Zernike多项式的线结构光整形透镜设计  

Design of Linear Structured Light Shaping Lens Based on Zernike Polynomial

作　　者：焦佳庆 程进 李庞跃 刘卫国[1] Jiao Jiaqing;Cheng Jin;Li Pangyue;Liu Weiguo(School of Optoelectronic Engineering,Xi'an Technological University,Xi'an 710021,Shaanci,China)

机构地区：[1]西安工业大学光电工程学院,陕西西安710021

出　　处：《应用激光》2025年第1期184-193,共10页Applied Laser

基　　金：中国博士后科学基金(2022M712493);陕西省自然科学基础研究计划(2022JQ-676)。

摘　　要：针对目前的线结构光功率低、不易实现远距离检测的问题,设计一种由非球面、自由曲面组成的双锥Zernike透镜。对5 W的激光光源进行光束整形获取线结构光。通过极值光程定律与非球面标准方程确定快轴准直面初始面型参数。根据慢轴发散角、目标面的映射关系,并结合斯涅尔定律推导出自由曲线方程,获得慢轴扩束面的初始结构,进而得到整形透镜初始参数。利用光学软件对其进行仿真,结果表明:光源快轴方向的发散角从49°压缩到0.942 mrad;慢轴方向平顶部分视场角为43.6°、光能利用率为86.4%、光能均匀度为96.9%。在投射距离2000 mm处得到1.9 mm×1600 mm的均匀线结构光,其光能为4.3 W,较现有线结构光(光能为5~400 mW)投射距离增加了3.3~29.4倍,为实现远距离检测提供了一种有效方法。To address the current issues of low-power line-structured light and the difficulty in achieving long-distance detection,this study proposes a biconic Zernike lens composed of aspherical and free-form surfaces.The lens is designed to shape a 5 W laser source into line-structured light.Initial parameters for the fast-axis collimation surface are determined using the extremum optical path law and the aspherical standard equation.By analyzing the slow-axis divergence angle and the mapping relationship to the target plane,combined with Snell's law,the free-form curve equation is derived to establish the initial structure of the slow-axis beam-expanding surface,thereby obtaining the preliminary parameters of the shaping lens.Optical simulation results demonstrate the following performance:The fast-axis divergence angle is compressed from 49°to 0.942 mrad.The slow-axis flat-top field angle reaches 43.6°,with an optical energy utilization rate of 86.4%and uniformity of 96.9%.At a projection distance of 2000 mm,the system generates uniform line-structured light measuring 1.9 mm×1600 mm,delivering an output power of 4.3 W.It increases the projection distance by 3.3~29.4 times compared with the existing line-structured light(light energy of 5~400 mW),and provides an effective method for realizing long-distance detection.

关 键 词：光学设计 非球面 自由曲面 线结构光 

分 类 号：TN274.2[电子电信—物理电子学]