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基于NI-MLA方法提高大气湍流条件下象限探测器光斑位置探测精度的研究

Research on the NI-MLA Method for Enhancing the Spot Position Detection Accuracy of Quadrant Detectors Under Atmospheric Turbulence.

作者信息

Liu Zuoyu, Gao Shijie, Wu Jiabin, Chen Yunshan, Ma Lie, Yu Xichang, Wang Ximing, Li Ruipeng

机构信息

Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China.

University of Chinese Academy of Sciences, Beijing 100049, China.

出版信息

Sensors (Basel). 2024 Oct 17;24(20):6684. doi: 10.3390/s24206684.

DOI:10.3390/s24206684
PMID:39460163
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11510952/
Abstract

The distorted spots induced by atmospheric turbulence significantly degrade the spot position detection accuracy of the quadrant detector (QD). In this paper, we utilize angular measurement and homogenization characteristics of non-imaging microlens array (NI-MLA) systems, effectively reducing the distortion degree of the spots received on the QD target surface, thereby significantly enhancing the spot detection accuracy of the QD. First, based on the principles of geometric optics and Fourier optics, it is proved that the NI-MLA system possesses the angular measurement characteristic (AMC) within the paraxial region while deriving and verifying the focal length of the system. Then, the QD computation curve characteristics of the system under non-turbulence are explored. This study further elucidates the mathematical principle of the NI-MLA system for mitigating the spot position detection random error of QD (SPDRE-QD) and discusses in depth the relationship between the NI-MLA system's capability to mitigate the SPDRE-QD and the system's parameters under various turbulence intensities. Finally, it is experimentally verified that the root-mean-square error (RMSE) of the QD computation values using the NI-MLA system are reduced by a significant improvement of at least 2.44 times and up to 17.36 times compared with that of the conventional optical system of QD (COS-QD) under turbulence conditions ranging from weak to strong.

摘要

大气湍流引起的光斑畸变显著降低了象限探测器（QD）的光斑位置检测精度。在本文中，我们利用非成像微透镜阵列（NI-MLA）系统的角度测量和均匀化特性，有效降低了QD靶面接收光斑的畸变程度，从而显著提高了QD的光斑检测精度。首先，基于几何光学和傅里叶光学原理，在推导和验证系统焦距的同时，证明了NI-MLA系统在傍轴区域具有角度测量特性（AMC）。然后，探究了系统在无湍流情况下的QD计算曲线特性。本研究进一步阐明了NI-MLA系统减轻QD光斑位置检测随机误差（SPDRE-QD）的数学原理，并深入讨论了NI-MLA系统减轻SPDRE-QD的能力与系统在各种湍流强度下的参数之间的关系。最后，通过实验验证，在从弱到强的湍流条件下，与传统的QD光学系统（COS-QD）相比，使用NI-MLA系统的QD计算值的均方根误差（RMSE）显著降低，至少提高了2.44倍，最高提高了17.36倍。

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