基于变周期光栅法的液晶相控阵指向精度研究  

Research on pointing accuracy of liquid crystal phase array based on the variable period grating method

作　　者：曹宗新 钱奕龙 刘禹彤 李坤 李子凡 龚君豪 胡五生[3] 张大伟[4] 洪瑞金[4] 毛红敏[1] 陆焕钧 樊丽娜 曹召良 CAO Zong-xin;QIAN Yi-long;LIU Yu-tong;LI Kun;LI Zi-fan;GONG Jun-hao;HU Wu-sheng;ZHANG Da-wei;HONG Rui-jin;MAO Hong-min;LU Huan-jun;FAN Li-na;CAO Zhao-liang(Key Laboratory of Efficient Low-carbon Energy Conversion and Utilization of Jiangsu Provincial Higher Education Institutions,School of Physical Science and Technology,Suzhou University of Science and Technology,Suzhou 215009,China;Suzhou Lumi Laser Technology Co.,Ltd,Suzhou 215100,China;Basic Department,Jiyuan Vocational and Technical College,Jiyuan 459099,China;School of Optical-Electronical and Computer Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]江苏省高校低碳能源高效转化与利用重点实验室,苏州科技大学物理科学与技术学院,江苏苏州215009 [2]苏州镭明激光科技有限公司,江苏苏州215100 [3]济源职业技术学院基础部,河南济源459099 [4]上海理工大学光电信息与计算机工程学院,上海200093

出　　处：《中国光学(中英文)》2025年第1期29-41,共13页Chinese Optics

基　　金：“十四五”江苏省重点学科资助项目(No.2021135);国家自然科学基金青年科学基金项目(No.22205155);江苏省自然科学基金青年基金项目(No.BK20220640);江苏省高校基础科学(自然科学)研究面上项目(No.22KJB150011)。

摘　　要：液晶光学相控阵被广泛应用于激光雷达、激光通信以及激光武器,进行激光光束的扫描控制。为了实现液晶相控阵的最优设计和激光光束高精度控制,本文重点研究了工作波长、像素数、像素尺寸及有效灰度数对光束指向精度的影响规律。首先,根据液晶相位调制原理,仿真分析了周期光栅法和变周期光栅法的有效扫描角度和衍射效率;然后,基于驱动电压灰度等分相位调制量,仿真分析了指向误差随工作波长、像素数、像素尺寸以及有效灰度数的变化规律,推导出多变量普适公式;接着,仿真分析了驱动电压灰度非等分相位调制量时的指向精度,并和等分相位调制量的结果进行对比分析;最后,实验验证了有效灰度数、像素数和指向误差的关系,初步证实了经验公式的有效性。本文的研究结果可为液晶相控阵的设计提供理论依据。Liquid crystal optical phase array(LC OPA)is widely used in lidar,laser communication and laser weapons to scan and control laser beams.In order to optimize the design of LC OPA and high-precision laser beam control,we study the influence of working wavelength,number of pixels,pixel size,and effective grey levels on beam pointing accuracy.Firstly,according to the liquid crystal phase modulation principle,the effective scanning angle and diffraction efficiency of the period grating and the variable period grating methods are simulated and analyzed.Secondly,assuming the phase modulation to be equally divided by the driving voltage,the variation law of the pointing error with the working wavelength,the number of pixels,the pixel size,and the effective grey levels is simulated and analyzed.The multivariable universal formula is also derived.Thirdly,the pointing accuracy of the nonuniform phase modulation is simulated,analyzed,and compared with the results of the uniform phase modulation.Finally,the relationship between the effective grey levels and the pointing error is verified by experiments,and the validity of the empirical formula is preliminarily confirmed.The research results can provide a theoretical basis for the design of LC OPA.

关 键 词：液晶相控阵列 变周期光栅法 指向误差 离散相位调制 

分 类 号：O436[机械工程—光学工程]