扩展重采样次谐波大气湍流模拟相位屏研究  

Extended Resampling of Subharmonic Atmospheric Turbulence Simulation Phase Screen Research

作　　者：卢文雍 石岩 陈建勇 占春连 金尚忠 LU Wenyong;SHI Yan;CHEN Jianyong;ZHAN Chunlian;JIN Shangzhong(College of Optical and Electronic Technology,China Jiliang University,Hangzhou 310018,China)

机构地区：[1]中国计量大学光学与电子科技学院,杭州310018

出　　处：《光子学报》2024年第8期68-79,共12页Acta Photonica Sinica

基　　金：浙江省重点研发计划(No.2021C01068)。

摘　　要：提出了一种扩展重采样次谐波方法生成大气湍流相位屏,扩展了低频补偿的起始区域,并设计了低频补偿区域的新型采样方式。以Kolmogorov理论进行模拟,分析了该方法设置不同次谐波级数所生成相位屏的相位结构函数与理论值的误差,搭建大气湍流模拟系统进行分析。结果表明:扩展重采样次谐波法生成相位屏的相位结构函数与理论值的相对误差为0.368%,加载此方法生成的大气湍流相位屏后,产生的湍流效应对图像调制传递函数的影响与湍流调制传递函数曲线的误差平均值为0.0336。该方法能够生成高精度的大气湍流相位屏。The simulation of wavefront distortion caused by atmospheric turbulence has been a key technique in the study of remote target imaging,light propagation in the atmosphere,large astronomical telescopes and the design of adaptive optical systems.The rapid generation of high-precision atmospheric turbulence phase screens is particularly important for studying the performance of remote target imaging and adaptive optical systems.At present,the most commonly used simulation method is the spectral inversion method based on fast Fourier transform.Due to the constraints of Fourier transform itself,the phase screen model generated by spectral inversion method lacks low frequency information.Turbulence energy is mainly concentrated in the low frequency region,and the commonly used subharmonic methods developed on this basis fail to adequately sample the low frequency region,resulting in energy leakage.In this paper,an extended resampling subharmonic method is proposed to rapidly generate the atmospheric turbulence phase screen,expand the original region,and divide it into four sub-blocks.Then,each subblock is further divided into four smaller sub-blocks,and the extended low-frequency region is intensively sampled,and so on.With the continuous grid division,lower frequency components can be continuously added,the initial region of low-frequency compensation can be expanded,and a new sampling method for the low-frequency compensation region is designed.Based on the simulation with Kolmogorov theory,the error between the phase structure function and the theoretical value of the phase plate generated by setting different harmonic order is analyzed.The results show that when the subharmonic order is 11,the relative error between the phase structure function and the theoretical value of the phase plate generated by the extended resampling subharmonic method is 0.368%.Because the external field experiment is affected by environment,climate and other factors,the uncertainty is large,so it is necessary to build an atmospheric turbu

关 键 词：大气光学 大气湍流相位屏 次谐波 相位结构函数 光学传递函数 

分 类 号：P427.1[天文地球—大气科学及气象学]