基于蒙特卡罗方法的相干四象限探测器仿真研究  

Simulation System of Coherent Four-Quadrant Detector Based on Monte Carlo Method

作　　者：张梓祺 于笑楠 佟首峰[1,2] Zhang Ziqi;Yu Xiaonan;Tong Shoufeng(School of Optoelectronic Engineering,Changchun University of Science and Technology,Changchun 130022,Jilin,China;National and Local Engineering Research Center of Space Optoelectronic Technology,Changchun University of Science and Technology,Changchun 130022,Jilin,China)

机构地区：[1]长春理工大学光电工程学院,吉林长春130022 [2]长春理工大学空间光电技术国家地方联合工程研究中心,吉林长春130022

出　　处：《中国激光》2023年第13期159-168,共10页Chinese Journal of Lasers

基　　金：国家重点研发计划(2022YFB3902500);吉林省教育厅项目(JJKH20220745KJ);吉林省教育厅科学技术研究项目(QT202102)。

摘　　要：引力波探测激光干涉仪对四象限探测器性能提出了较高的技术要求。为了提升四象限探测器光斑位置检测精度,搭建四象限探测器相干探测仿真系统,构建位置检测数学模型,分析位置检测精度与系统信噪比、光斑半径和光斑质心位置三个关键参数以及相干混频增益的关系。基于蒙特卡罗仿真方法并采用LabView软件搭建四象限探测器光斑位置检测计算机仿真系统,深入分析系统中高斯光斑产生、光斑质心位置解算以及误差评判三部分主要过程,分析各个关键参数对位置检测精度的影响。仿真结果表明,提升系统信噪比、减小光斑半径以及选取靠近光敏面中心的光斑质心位置可以提高位置检测精度。将仿真结果与理论计算结果进行对比,验证了数学模型的有效性,提升了蒙特卡罗仿真置信度。Objective Gravitational waves are ripples of the curvature of space and time in the universe.They dominate the evolution and operation of the universe in the form of waves.Gravitational wave detection has been widely used by many scholars at home and abroad and has achieved breakthrough results.Gravitational wave detection is one of the most concerned frontiers of scientific research in the history of contemporary physics.Space laser heterodyne interferometer is a key component of gravitational wave detection system.The four-quadrant detector is an important part of the laser interference gravitational wave detector,which can be used for spot position detection,laser angle measurement,data transmission and reception,etc.The performance of the four-quadrant detector will directly affect the accuracy of the gravitational wave detector.Influenced by noise factors,the system signal-to-noise ratio(SNR) of laser interference gravitational wave detector and other parameters will be affected,thus affecting the detection accuracy and performance of the system.Therefore,it is necessary to establish a complete mathematical model for the position detection process of the four-quadrant detector and verify it through the simulation system,so as to analyze the factors affecting the position detection accuracy and improve the detection method.Methods In order to analyze the factors that affect the position detection accuracy of the four-quadrant detector,in this paper,firstly,the noise factors in the laser heterodyne interferometer and the relationship between the local oscillator power and the system SNR are analyzed.The mathematical theoretical model of the four-quadrant detector position detection is established,and the main factors affecting the position detection accuracy are theoretically derived.Then the position detection simulation system is established by using Monte Carlo random simulation method,and the Monte Carlo random points are used to characterize the receiving and solving process of the four-quadrant detector

关 键 词：探测器 激光干涉仪 引力波探测 四象限探测器 蒙特卡罗仿真方法 位置检测精度 系统信噪比 

分 类 号：P111.47[天文地球—天文学]