基于Levenberg-Marquardt算法的旋转双棱镜指向偏差修正  

Correction of Pointing Deviation of Risley Prisms Based on Levenberg-Marquardt Algorithm

作　　者：姜玉鑫 孙建锋[3] 侯培培[1] 韩荣磊 任伟杰 从海胜 张龙坤 李超洋 许玲玲 张正伟 Jiang Yuxin;Sun Jianfeng;Hou Peipei;Han Ronglei;Ren Weijie;Cong Haisheng;Zhang Longkun;Li Chaoyang;Xu Lingling;Zhang Zhengwei(Key Laboratory of Space Laser Communication and Detection Technology,Shanghai Institute of Optics and Fine Mechanics,Chinese Academic of Sciences,Shanghai 201800,China;University of Chinese Academy of Sciences,Beijing 100049,China;Department of Aerospace Laser Engineering,Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,China)

机构地区：[1]中国科学院上海光学精密机械研究所空间激光传输与探测技术重点实验室,上海201800 [2]中国科学院大学,北京100049 [3]中国科学院上海光学精密机械研究所航天激光工程部,上海201800

出　　处：《中国激光》2023年第6期89-97,共9页Chinese Journal of Lasers

基　　金：国家自然科学基金(91938302);中国科学院战略性先导科技专项(XDB43030400)。

摘　　要：针对旋转双棱镜系统指向误差较大、误差源较多等指向精度较差的问题,提出了一种新的旋转双棱镜指向偏差修正方案。采用非近轴光线追迹方法建立旋转双棱镜指向模型和二维转台指向模型,在全视场区域内均匀选取若干点,比较旋转双棱镜理论出射光束与实际出射光束的偏差,通过Levenberg-Marquardt迭代算法对旋转双棱镜前镜和后镜的转角误差、楔角和折射率进行修正。在整个视场区域内修正后,指向最大偏差由8.37 mrad变为3.75 mrad,平均指向偏差由4.00 mrad变为1.38 mrad,并且当俯仰角较小时,修正效果较好;在俯仰角小于15°的视场区域进行单独修正后,最大指向偏差变为1.51 mrad,平均偏差变为0.84 mrad。所提修正方法提高了旋转双棱镜的指向精度,对旋转双棱镜指向偏差的补偿修正具有一定的参考价值。Objective A space laser communication terminal generally comprises two basic systems a laser communication system and an optical tracking system.The former is for information transmission between two satellites,and the latter is for pointing,acquisition,and tracking(PAT).The space laser communication system is advancing toward miniaturization and is lightweight.However,traditional optical tracking and sighting systems usually use gimbal turrets and gimbal turning mirrors to attain significant beam angles.Furthermore,such structures are large in size,large in inertia,poor in dynamic performance,slow in response time,and sensitive to vibration,which is not conducive to the installation of the carrier platform and the balance of the carrier posture.Compared with the traditional structure,Risley prisms are small in size,have excellent viewing axis adjustment function,and can realize large-angle deflection of the beam;therefore,the rotating biprism is more suitable for space laser communication.However,since Risley prisms are composed of two coaxial wedge prisms,there is no linear relationship between the outgoing light and the wedge prism s rotation angle,making it challenging to solve the outgoing beam of Risley prisms.Additionally,there are several error sources of Risley prisms,and the pointing is not sufficiently accurate.Therefore,it should be corrected to obtain a more precise pointing,which can be used in space laser communication.Methods A new method of correcting the pointing deviation of Risley prisms is proposed to aim at the problem of poor pointing accuracies,including the significant pointing error of Risley prisms and more error sources.This study uses a non-paraxial ray tracing method to establish a Risley prism pointing model and a two-dimensional turntable pointing model.Many points are uniformly chosen in the entire field of view,and the deviation between the rotating double prism s theoretical and actual output beams is compared.The Levenberg-Marquardt iterative algorithm corrects the rotation ang

关 键 词：光通信 自由空间激光通信 旋转双棱镜 LEVENBERG-MARQUARDT算法 最小二乘法 误差校正 

分 类 号：O435[机械工程—光学工程]