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大气湍流轮廓线测量方法研究
其他题名Research on Atmospheric Turbulence Profile Measurement Method
方玉亮
学位类型博士
导师刘忠
2018-07-01
学位授予单位中国科学院大学
学位授予地点北京
学位专业天文技术与方法
关键词大气光学 湍流轮廓线 反演 模拟退火算法 像运动
摘要地球大气的干扰是地基望远镜进行天文、空间观测无法回避的问题。大气湍流导致望远镜像质衰减。望远镜口径增大到一定程度时,望远镜的空间分辨率主要受限于大气湍流。为了消除或者减小大气湍流的影响,天文学家发展了许多消除或者减小大气湍流影响的高分辨观测技术。其中自适应光学技术可以有效减小大气湍流的干扰,传统自适应光学系统校正视场受限于等晕角,多层共轭自适应光学(multi-conjugate adaptive optics,简写MCAO)技术能够进行宽视场的波前校正。MCAO的设计和性能优化,需要知道大气湍流的分层特性。下一代大口径望远镜,为了充分发挥其大口径的性能,必然需要装备宽视场的MCAO。因此,对址点的大气湍流轮廓线进行测量有着重要的意义。目前湍流轮廓线测量方法有很多种,其中PML(profiler of moon limb)、S-DIMM+(solar differential Image motion monitor plus)等基于面源目标像运动的方差或者协方差统计反演的方法,具有分层分辨率高、测量精度高等优点。这些方法属于间接测量方法,通过测量得到的有限数据量的像运动的方差或者协方差来推演湍流轮廓线,需要将连续的积分关系式转化为离散求和的线性方程组,然后通过最优化方法求解线性方程组得到湍流轮廓线。由于线性方程组的病态性,噪声、测量误差等对湍流轮廓线的反演精度的影响较大。论文针对像运动方差或者协方差统计的湍流轮廓线方法进行了研究,以求提高湍流轮廓线测量精度和对噪声、测量误差等的抗干扰能力。首先,研究了湍流轮廓线测量中的反演方法。本文采用基于模拟退火算法的湍流轮廓线反演方法。为了提高反演精度,提出了基于模拟退火算法的有约束条件的湍流轮廓线反演方法,根据湍流轮廓线的自然特性加入了平滑限制条件,平滑约束条件明显改善了湍流轮廓线反演精度。其次,研究了宽视场的湍流轮廓线测量方法。在湍流轮廓线反演过程中发现,增加数据量、线性方程数目能够提高湍流轮廓线的反演精度和对噪声的抗干扰能力,而增加观测视场是增加数据量和线性方程数目比较有效的手段。然而分层抽样系数矩阵有较大的离散化误差,特别是在大视场时,限制了观测视场的增加。通过采用分层积分系数矩阵可以有效减小离散化误差,增加观测视场,从而提高湍流轮廓线测量方法的测量精度和对测量误差、噪声等的抗干扰能力。然后,分析了差分像运动协方差轮廓线测量方法的病态性。增加子孔径间距可以减小反演线性方程组的病态性和方程间的相关性,但是增加子孔径间距也增加了随机误差的影响,因此增加子孔径间距不能有效改善湍流轮廓线的测量精度。而增加子孔径数目是提高测量精度的一个有效方法,从而提出了多子孔径的差分像运动协方差湍流轮廓线测量方法。最后,对单孔径边缘像运动湍流轮廓线测量方法进行了研究,对其进行噪声分析发现噪声对该方法的影响较大。为了较小噪声的影响,提出了噪声分离方法,通过增加噪声分离项来分离噪声的影响,模拟实验结果表明噪声分离方法有较好的效果。
其他摘要The disturbance of the earth's atmosphere to the astronomical and space observations is the main problem that the ground-based telescope can not avoid. Atmosphere turbulence causes the reduction of the angular resolution of the telescope. When telescope aperture greater than the seeing disk, the angular resolution of the telescope is mainly limited by atmospheric turbulence. There are many high-resolution observation techniques have been developed to eliminate or reduce the effects of atmospheric turbulence disturbance. Adaptive optics technology can effectively decrease the interference of atmospheric turbulence. The traditional adaptive optics system’s correction FOV (field of view) is limited by the isoplanatic angle. MCAO (multi-conjugate adaptive optics) technology can perform with wide correction FOV. MCAO's design and optimization of performance need to know the characteristics of atmospheric turbulence profiles. The next-generation large aperture telescope must be equipped with a wide-field adaptive optics system in order to fully realize its performance of large aperture. Therefore, it is of great significance to measure the atmospheric turbulence profiles of the site. At present, there are many methods for measuring turbulence profiles. Among them, the methods (such as PML(profiler of moon limb) and S-DIMM+(solar differential Image motion monitor plus)) based on variance or covariance of image motion of extended object have the advantages of high altitude resolution and high measurement accuracy. These methods are indirect measurement methods. When measure turbulence profiles, it can only get limited number of data to calculate variance or covariance of image motion data. It is necessary to convert the integral equation into a discrete linear equation. Then, solve the equation to get the turbulence profiles by the optimization method. The measurement error has a great influence on the inversion accuracy of the turbulence profiles. In this paper, some methods have been proposed for improving the profiles measurement accuracy and anti-noise performance. Firstly, the inversion method of turbulent profiles was studied. In this paper, the turbulence profiles inversion method based on the simulated annealing algorithm is adopted. In order to improve the accuracy of inversion, a inversion method with constraint based on simulated annealing algorithm was proposed. Smooth constraint were added according to the natural characteristics of turbulence profiles. The smooth constraint significantly improved the inversion accuracy of turbulence profiles.Secondly, a wide FOV turbulence profiles measurement method is proposed. In the process of turbulence profiles inversion, it is found that increasing the amount of data and increasing the number of linear equations can improve the inversion accuracy of turbulence profiles and the anti-noise performance. Increasing the FOV is a more effective way to increase linear equations. However, the layer sample coefficient matrix has a large discretization error, especially in the large FOV, which limits the increase of the observation FOV. By using the layer integral coefficient matrix, the discretization error can be effectively reduced, and the observation FOV can be increased, thereby improving the measurement accuracy of the turbulence profiles measurement method and the anti-noise performance of the measurement error, noise, and so on.Then, The ill-conditioned characteristic of turbulence profiles measurement method of differential image motion covariance has been analyzed. Increasing the subapertures baseline can reduce the seriousness of ill-conditioned problem, but it also increases the influence of measurement error. Therefore, increasing the baseline cannot improve the measurement accuracy of the turbulence profiles. Increasing the number of subapertures is another effective method to increase the measurement data and linear equations number, which can improve measurement accuracy. Finally, the noise analysis is performed for the single aperture limb motion turbulence profiles measurement method. It is found that the noise has a great influence on this method. To reduce the influence of noise, a noise separation method is proposed. The noise is separated by adding noise separation terms. The result of simulation experiments shows that the noise separation method improves measurement accuracy and reduces the influence of noise.
学科领域天文学 ; 天体物理学 ; 实测天体物理学
学科门类理学 ; 理学::天文学
页数96
语种中文
文献类型学位论文
条目标识符http://ir.ynao.ac.cn/handle/114a53/25421
专题抚仙湖太阳观测和研究基地
作者单位中国科学院云南天文台
第一作者单位中国科学院云南天文台
推荐引用方式
GB/T 7714
方玉亮. 大气湍流轮廓线测量方法研究[D]. 北京. 中国科学院大学,2018.
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