基于Q-con非球面的折反射式全景光学系统设计  

Design of Catadioptric Panoramic Optical System Based on Q-con Aspheric

作　　者：包晟 刘智颖 黄蕴涵 张禛 BAO Sheng;LIU Zhiying;HUANG Yunhan;ZHANG Zhen(Key Laboratory of Optoelectronic Measurement and Control and Optical Information Transmission Technology of Ministry of Education,School of Optoelectronic Engineering,Changchun University of Science and Technology,Chang'chun 130022,China)

机构地区：[1]长春理工大学光电工程学院,光电测控与光信息传输技术教育部重点实验室,长春130022

出　　处：《光子学报》2023年第5期242-256,共15页Acta Photonica Sinica

基　　金：国家自然科学基金(No.617050183);吉林省科技发展计划(No.202002037jc)。

摘　　要：为了获得大视场管道内壁全景成像,利用Q-type非球面中的Q-con非球面设计了一款工作在可见光波段,视场大小为(65°~115°)×360°,焦距为1.24 mm,F数为3.5,总长为100 mm的折反射式全景光学系统。该系统由1片反射镜、8片透镜组成,其中反射镜单元采用Q-con非球面面型,其余透镜均为球面。在尼奎斯特频率93 lp/mm处调制传递函数大于0.4,成像质量接近衍射极限。为验证Q-con面型相对于偶次非球面面型在折反射式光学系统设计中的优势,实际设计了一款与Q-con非球面折反射式全景系统具有相同参数的偶次非球面折反射式全景系统,对两者进行了分析比较。结果表明,相对于偶次非球面,Q-con非球面多项式系数比对应的偶次非球面的多5~17个数量级,不仅有效的提高了系统设计效率、加工与检测精度、减小成本,同时也可以实现像质更高、口径更小的设计结果。In order to obtain a panoramic image of the inner wall of the pipeline with a large field of view,this paper uses a catadioptric panoramic optical system to achieve the panoramic imaging of the inner wall of the pipeline.However,most of the traditional catadioptric panoramic optical systems focus on the rear view,which will lead to the instability of the image distance plane of the system and the excessive pressure of the relay system.In addition,for the field of pipeline inner wall imaging,the angle between the main ray of the rear view field and the surface of the pipeline inner wall is too large,which will lead to serious information loss of the pipeline inner wall.However,the catadioptric panoramic imaging system designed in this paper pays more attention to the side view in order to obtain the information of the inner wall of the pipeline,and takes the vertical optical axis as the reference,with the pitch angle of±25°,which is,the panoramic field of view of 360°×(65°~115°),which avoids the above problems.The mirror unit of the traditional catadioptric panoramic optical system mainly adopts even aspheric surfaces.However,due to the non orthogonality between its various coefficients,the mutual interference and even cancellation between the various coefficients,and the seriously small order of magnitude of the coefficients,the problem of low optimization efficiency of the optical system is extremely prominent.In this paper,through the study of Q-con function polynomials in three kinds of Q-type function polynomial theories,it can be seen that,compared with even aspheric surface,the base polynomials of Q-con function polynomials are orthogonal to each other,which avoids the problems of redundant interference,precision loss and numerical ill-condition caused by non-orthogonal,and provides more significant figures,improving the optimization design efficiency and machinability of an optical system.Based on the imaging principle and characteristics of the catadioptric panoramic optical system,combined with the

关 键 词：光学设计 折反射式全景光学系统 Q-type非球面 曲面拟合 反射镜单元 

分 类 号：TB133[机械工程—光学工程]