非Kolmogorov湍流中激光光斑漂移的统计模拟
Statistical Simulation of Laser Spot Drift in Non-Kolmogorov Turbulence
DOI: 10.12677/AAM.2024.132064, PDF,    科研立项经费支持
作者: 赵明华, 齐德全*：长春理工大学数学与统计学院，吉林 长春
关键词: 非kolmogorov湍流；相位屏；贝叶斯定理；光斑漂移；Non-Kolmogorov Turbulence； Phase Screen； Bayes Theorem； Spot Drift
摘要: 激光光束在湍流大气传输过程中光斑位置发生漂移，从而影响目标跟踪、激光通信等应用。本文采用功率谱反演法和低频补偿法构建等效结构常数的非Kolmogorov湍流随机相位屏，模拟高斯光束在非Kolmogorov湍流传输过程，对产生的光斑漂移量进行研究，提出了基于贝叶斯定理的光斑漂移估计模型。实验结果表明：漂移量估计精度随湍流强度和传输距离的增大而减小。光斑后验模型相较于移动平均模型的平均绝对误差小，估计精度较高。
Abstract: The spot position of the laser beam drifts during turbulent atmospheric transmission, which affects the application of target tracking and laser communication. In this paper, the power spectrum in-version method and the low-frequency compensation method are used to construct a non-Kolmogorov turbulent stochastic phase screen with equivalent structural constants, which simulates the turbulent transmission process of Gaussian beams in non-Kolmogorov flows, and the resulting spot drift is studied, and a spot drift estimation model based on Bayes’ theorem is pro-posed. The experimental results show that the accuracy of drift estimation decreases with the in-crease of turbulence intensity and propagation distance. Compared with the moving average model, the average absolute error of the spot posterior model is smaller, and the estimation accuracy is higher.
文章引用：赵明华, 齐德全. 非Kolmogorov湍流中激光光斑漂移的统计模拟[J]. 应用数学进展, 2024, 13(2): 661-671. https://doi.org/10.12677/AAM.2024.132064

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