基于速度比的光楔扫描轨迹选取方法  

Selection Method of Risley Prisms Scanning Trajectory Based on Velocity Ratio

作　　者：段霖森 谢洪波[1] 马骏 杨磊[1] Duan Linsen;Xie Hongbo;Ma Jun;Yang Lei(Key Laboratory of Optoelectronics Information Technology,School of Precision Instrument and Optoelectronics Engineering,Tianjin University,Tianjin 300072,China;School of Armament Science and Technology,Xi’an Technological University,Xi’an 710021,Shaanxi,China)

机构地区：[1]天津大学精密仪器与光电子工程学院光电信息技术教育部重点实验室,天津300072 [2]西安工业大学兵器科学与技术学院,陕西西安710021

出　　处：《光学学报》2024年第7期159-169,共11页Acta Optica Sinica

摘　　要：基于非近轴光线追迹算法对光楔扫描系统的正向问题进行求解,得到不同速度比下的花瓣形扫描轨迹。根据光楔转速和取样间隔计算轨迹点数,根据轨迹点与坐标原点的距离曲线的极小值点个数计算花瓣数,进而建立由速度比计算花瓣数的关系式。通过轨迹点数和花瓣数评估不同速度比对应的扫描轨迹的扫描时间和覆盖率,总结扫描轨迹与速度比之间的规律,提出三光楔扫描系统获取规则、对称且不存在大片扫描盲区的扫描轨迹时速度比需要满足的条件。所得规律和结论可在光楔扫描系统的应用中合理确定速度比,从而选取满足扫描效率要求的扫描轨迹。Objective The Risley prism scanning system is a useful supplement to traditional rotating frame and mirror scanning systems.It features a compact structure,low optical loss,excellent dynamic performance,and a large scanning field of view,and has broad application prospects in lidars,laser communication,and laser guidance.In the practical applications of this system,it is important to select the scanning trajectory reasonably,which will directly affect the scanning efficiency of the system and the acquisition probability of the target.When the parameters and relative positions of the Risley prism are determined,the rotation velocity ratio of the Risley prism is variable and controllable to obtain the scanning trajectories of different shapes.We aim to study the relationship between the velocity ratio with the number of scanning points and petals,then summarize the internal rules of the velocity ratio and scanning trajectory,and evaluate the scanning time and coverage rate of the scanning trajectory under different velocity ratios.Therefore,our study has a guiding significance for selecting the scanning trajectory that meets the scanning efficiency requirements.Methods Firstly,the forward problem of the Risley prism is solved by the non-axial ray tracing algorithm,and the scanning trajectories under different velocity ratios can be obtained.Secondly,the number of scanning points is calculated according to the rotation velocity of the Risley prism and sampling interval,and the number of scanning petals is calculated according to the number of minimum points of the distance curve between scanning points and coordinate origin.Then,the velocity ratio is classified according to its absolute value and fractional part,and the formula for calculating the number of scanning petals by the velocity ratio is established.The scanning trajectory rules of the 2-element Risley prism are analyzed,and the scanning time and coverage rate under different velocity ratios are evaluated.Finally,the scanning trajectory of the 3-element Ri

关 键 词：光学设计 光楔 非近轴光线追迹 花瓣形扫描轨迹 速度比 

分 类 号：O436[机械工程—光学工程]