通过旋转三棱镜获得凹锥透镜研究环形彩虹  

Studying circular rainbow projection with concave conical lens obtained by rotating triangular prisms

作　　者：刘新军 肖志博 刘宇浩 陈奕霖 丁锐锋 李乐[1] 张亦文 LIU Xinjun;XIAO Zhibo;LIU Yuhao;CHEN Yilin;DING Ruifeng;LI Le;ZHANG Yiwen(Department of Physics,School of Science,Tianjin University,Tianjin 300350,China;School of Materials Science and Engineering,Tianjin University,Tianjin 300350,China;School of Precision Instruments and Optoelectronic Engineering,Tianjin University,Tianjin 300350,China)

机构地区：[1]天津大学理学院物理系,天津300350 [2]天津大学材料科学与工程学院,天津300350 [3]天津大学精密仪器与光电子工程学院,天津300350

出　　处：《物理实验》2024年第6期11-17,共7页Physics Experimentation

摘　　要：基于几何光学原理和计算机模拟技术,对旋转三棱镜形成的凹锥透镜进行了深入研究,旨在优化其设计以获得最佳的环形彩虹投影效果.通过详细的光路分析,揭示了彩虹鲜艳度与透镜顶角、边长等参量之间的关系,同时利用TracePro光线模拟软件验证了设计效果,展示了彩虹的光强分布和真彩色图像.通过对出射边和顶角的精细调整,实现了彩虹鲜艳度、亮度和半径的精准控制,为彩虹的应用提供了理论基础和设计指导.This paper presented a comprehensive study of the concave conical lens formed by rotating prisms using the principles of geometric optics and computer simulation techniques.The aim was to optimize its design to achieve the best circular rainbow projection effect.Through detailed optical path analysis,the relationship between the vividness of the rainbow and parameters such as the apex angle and side length of the lens was revealed.Meanwhile,the TracePro ray tracing software was utilized to validate the design effectiveness,demonstrating the light intensity distribution and true-color image of the rainbow.By finely adjusting the outgoing sides and apex angle,precise control over the vividness,brightness,and radius of the rainbow was achieved,providing a theoretical basis and design guidance for the application of rainbows.

关 键 词：环形彩虹 凹锥透镜 几何光学 

分 类 号：O435.1[机械工程—光学工程]