光子学报, 2020, 49 (6): 0601002, 网络出版: 2020-11-26   

基于修正大气谱的湍流相位屏高精度生成方法 下载: 569次

Generation of High-precision Turbulence Phase Screen Based on Modified Atmosphere Spectrum
作者单位
1 陆军工程大学石家庄校区电子与光学工程系, 石家庄 050003
2 32181部队, 石家庄 050003
3 中国卫星海上测控部, 江苏 江阴 214400
摘要
为了更准确地反映湍流的实际特征,在光波的大气传输模拟中应采用修正大气折射率谱模型.本文针对该谱模型提出了一种高精度湍流相位屏生成方法.通过改变模型在低频区的采样设置,实现了基于修正大气谱的湍流相位屏高精度生成.通过与原始FFT法、次谐波法以及改进前的优化方法相比发现,本文提出的改进后的优化方法能将相位屏低频区域的最大相对误差从改进前的6.75%减小到1%,作为比较,原始FFT法在低频区的最大相对误差为22.99%,次谐波法为16.81%.利用该方法所生成的相位屏对高斯光束在湍流中的传输进行了模拟并对光束扩展和光束漂移等二阶统计特性进行了估计.结果表明,在弱扰动条件下,模拟结果和理论预测的结果是一致的;在强扰动条件下,随着距离的增加,模拟结果与理论结果偏差越来越大,其中光束扩展与理论预测的偏差最大可达6 cm,而光束漂移可达1 cm,这是由于理论模型无法预测漂移饱和现象而导致的.在与Von-Karman谱的模拟结果比较时发现,修正大气谱估计的光束扩展大于Von-Karman谱的估计且在光束漂移的预测中比Von-Karman谱更快的达到饱和,这正是修正大气谱高波数处存在"凸起"的结果.本文提出的方法生成的相位屏能够有效的表征实际大气的折射率扰动特性.
Abstract
For accurately reflecting the practical features of turbulence, the modified atmospheric spectrum model should be applyed in the simulation of optical wave propagation. To do this, the method of generating high precision turbulent phase screen is proposed for the modified atmospheric spectrum, which is on the bases of optimized phase screen model. By extending the low frequency region and changing the sampling Settings of the model, the maximum relative error in low frequency region was reduced to 1%. As a comparison, the maximum relative error in low frequency region was 6.75% for Optimization-based method before improvement, 22.99% for original FFT method and 16.81% for subharmonic method. By using this method, the simulation of Gaussian beam propagating in turbulence has been done and the second-order statistical properties include beam spread and beam wander have been estimated. The results show that, in the case of weak fluctuation level, the degree of compliance with the analytical approximations is good. However, under the condition of strong fluctuation level, the deviation between the simulation results and the theoretical results is increasing with distance. The deviation of beam spread is up to 6 cm, while the deviation of beam wander is up to 1 cm, which can be explained by the fact that the theoretical model cannot predict the beam wander saturation. In comparison with the simulation results of the Von-Karman spectrum, the beam spread estimated by modified atmospheric spectrum is slightly larger than that estimated by Von-Karman spectrum, and beam wander predicted by modified atmospheric spectrum shows a faster rate to reach saturation than that predicted by the Von Karman spectrum, it is precisely induced by the "bump" of the modified atmosphere spectrum. So we conclude that the phase screen generated by the method presented here can characterize the refractive index perturbation of the actual atmosphere effectively.

张冬晓, 陈志斌, 肖程, 秦梦泽. 基于修正大气谱的湍流相位屏高精度生成方法[J]. 光子学报, 2020, 49(6): 0601002. Dong-xiao ZHANG, Zhi-bin CHEN, Cheng XIAO, Meng-ze QIN. Generation of High-precision Turbulence Phase Screen Based on Modified Atmosphere Spectrum[J]. ACTA PHOTONICA SINICA, 2020, 49(6): 0601002.

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