旋转相位屏模拟大气湍流时空特性的测量
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摘要
利用一个高速多单元哈特曼传感器对旋转相位屏模拟大气湍流的空间特性和时间特性进行了研究。空间特性方面,计算了湍流的大气相干长度和波面的相位空间结构函数,对比了波前的Zernike系数方差分布。时间特性方面,测量了模拟湍流的Greenwood频率和时间功率谱,并提出了一种新的计算时间常数的方法——残差均方值法。结果表明旋转相位屏模拟的大气湍流符合Kolmogorov湍流统计理论。
Using high-speed, multi-cell Shack-Hartman wave-front sensor, the measurement of temporal and spatial feature to a rolling phase screen laboratory atmospheric turbulence generator is presented. In terms of spatial feature, coherence length of the atmospheric turbulence and phase spatial structure function of the wave- front are calculated, and the variance distribution of the wave- front Zernike coefficient is compared to the theory as well. In addition,on the temporal feature, the Greenwood frequency and time power spectrum of the simulated turbulence are analyzed. A new method that is called residual variance algorithm to calculate the time constant is proposed. The result shows that the atmospheric turbulence generated by the rolling phase screen is consistent with the Kolmogorov turbulence.
Using high-speed, multi-cell Shack-Hartman wave-front sensor, the measurement of temporal and spatial feature to a rolling phase screen laboratory atmospheric turbulence generator is presented. In terms of spatial feature, coherence length of the atmospheric turbulence and phase spatial structure function of the wave- front are calculated, and the variance distribution of the wave- front Zernike coefficient is compared to the theory as well. In addition,on the temporal feature, the Greenwood frequency and time power spectrum of the simulated turbulence are analyzed. A new method that is called residual variance algorithm to calculate the time constant is proposed. The result shows that the atmospheric turbulence generated by the rolling phase screen is consistent with the Kolmogorov turbulence.
引文
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6 Wang Yingjian,Wu Yi,Gong Zhiben.The statistics of atmospheric coherence length and Strehl ratio[J].Acta Optica Sinica,1996,16(8):1109-1113.王英俭,吴毅,龚知本.大气湍流相干长度和Strehl比的统计特征[J].光学学报,1996,16(8):1109-1113.
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8 Li Xinyang,Jiang Wenhan,Wang Chunhong,et al..Modal reconstruction error of the Hartmann sensor on measuring the atmosphere disturbed wavefront II[J].High Power Laser Particle Beams,2000,12(3):319-323.李新阳,姜文汉,王春红,等.湍流大气中哈特曼传感器的模式波前复原误差II[J].强激光与粒子束,2000,12(3):319-323.
9 Wang Jianye,Rao Ruizhong,Liu Xiaochun,et al..Comparison of experimental study of atmospheric coherence length[J].Chinese J Lasers,2005,32(1):64-66.汪建业,饶瑞中,刘晓春,等.大气相干长度的对比实验研究[J].中国激光,2005,32(1):64-66.
10 Li Xinyang,Jiang Wenhan,Wang Chunhong,et al..Power spectra analysis of the disturbed wavefront in laser beam horizontal atmospheric propagation II:Wavefront phase and Greenwood frequency[J].Acta Optica Sinica,2000,20(8):1035-1042.李新阳,姜文汉,王春红,等.激光实际大气水平传输湍流畸变波前的功率谱分析II:波前相位与格林伍德频率[J].光学学报,2000,20(8):1035-1042.
11 Fried D L.Time-delay-induced mean-square error in adaptive optics[J].JOSA A,1990,7(7):1224-1225.
2 Yang Huizhen,Cai Dongmei,Chen Bo,et al..Analysis of adaptive optics techniques without a wave-front sensor and its application in atmospheric laser communications[J].Chinese J Lasers,2008,35(5):680-684.杨慧珍,蔡冬梅,陈波,等.无波前传感自适应光学技术及其在大气光通信中的应用[J].中国激光,2008,35(5):680-684.
3 Wang Lijin,Li Qiang,Wei Honggang,et al..Numerical simulation and validation of phase screen distorted by atmospheric turbulence[J].Opto-Electronic Engineering,2007,34(3):1-4.王立瑾,李强,魏宏刚,等.大气湍流随机相位屏的数值模拟和验证[J].光电工程,2007,34(3):1-4.
4 Zhang Huimin,Li Xinyang.Measurement of a hot-wind laboratory atmospheric turbulence generator with Hartman wave-front sensor[J].Opto-Electronic Engineering,2005,31(S1):4-7.张慧敏,李新阳.热风式大气湍流模拟装置的哈特曼测量[J].光电工程,2005,31(S1):4-7.
5 Huang Dequan,Zhou Wenchao,Qiu Hong,et al..Research on measurement of atmospheric coherence length using Shack-Hartmann wavefront sensor[J].High Power Laser and Particle Beams,2014,26(8):081003.黄德权,周文超,邱红,等.哈特曼测量大气相干长度研究[J].强激光与粒子束,2014,26(8):081003.
6 Wang Yingjian,Wu Yi,Gong Zhiben.The statistics of atmospheric coherence length and Strehl ratio[J].Acta Optica Sinica,1996,16(8):1109-1113.王英俭,吴毅,龚知本.大气湍流相干长度和Strehl比的统计特征[J].光学学报,1996,16(8):1109-1113.
7 Noll R J.Zernike polynomials and atmospheric turbulence[J].JOSA,1976,66(3):207-211.
8 Li Xinyang,Jiang Wenhan,Wang Chunhong,et al..Modal reconstruction error of the Hartmann sensor on measuring the atmosphere disturbed wavefront II[J].High Power Laser Particle Beams,2000,12(3):319-323.李新阳,姜文汉,王春红,等.湍流大气中哈特曼传感器的模式波前复原误差II[J].强激光与粒子束,2000,12(3):319-323.
9 Wang Jianye,Rao Ruizhong,Liu Xiaochun,et al..Comparison of experimental study of atmospheric coherence length[J].Chinese J Lasers,2005,32(1):64-66.汪建业,饶瑞中,刘晓春,等.大气相干长度的对比实验研究[J].中国激光,2005,32(1):64-66.
10 Li Xinyang,Jiang Wenhan,Wang Chunhong,et al..Power spectra analysis of the disturbed wavefront in laser beam horizontal atmospheric propagation II:Wavefront phase and Greenwood frequency[J].Acta Optica Sinica,2000,20(8):1035-1042.李新阳,姜文汉,王春红,等.激光实际大气水平传输湍流畸变波前的功率谱分析II:波前相位与格林伍德频率[J].光学学报,2000,20(8):1035-1042.
11 Fried D L.Time-delay-induced mean-square error in adaptive optics[J].JOSA A,1990,7(7):1224-1225.