地面层自适应光学系统多颗激光导引星位置优化研究

李彩凤,贾鹏,蔡冬梅. 地面层自适应光学系统多颗激光导引星位置优化研究[J]. 光电工程,2020,47(9):190515. doi: 10.12086/oee.2020.190515
引用本文: 李彩凤,贾鹏,蔡冬梅. 地面层自适应光学系统多颗激光导引星位置优化研究[J]. 光电工程,2020,47(9):190515. doi: 10.12086/oee.2020.190515
Li C F, Jia P, Cai D M. Optimizing the location of multiple laser guide stars in ground layer adaptive optical systems[J]. Opto-Electron Eng, 2020, 47(9): 190515. doi: 10.12086/oee.2020.190515
Citation: Li C F, Jia P, Cai D M. Optimizing the location of multiple laser guide stars in ground layer adaptive optical systems[J]. Opto-Electron Eng, 2020, 47(9): 190515. doi: 10.12086/oee.2020.190515

地面层自适应光学系统多颗激光导引星位置优化研究

  • 基金项目:
    国家自然科学基金资助项目(11503018,U1631133);山西省基础研究青年面上项目(201901D211081);山西省重点研发项目(201903D121161);山西省高等学校教育科技创新基金(2019L0225)
详细信息
    作者简介:

    李彩凤(1991-),女,硕士,主要从事地面层自适应光学方面的研究。E-mail:987278301@qq.com

    通讯作者: 贾鹏(1986-),男,博士,副教授,主要从事天文学和自适应光学方面的研究。E-mail:robinmartin20@gmail.com
  • 中图分类号: TN249; P111.2

Optimizing the location of multiple laser guide stars in ground layer adaptive optical systems

  • Fund Project: Supported by National Natural Science Foundation of China (11503018, U1631133), Shanxi Province Science Foundation for Youths (201901D211081), Research and Development Program of Shanxi (201903D121161), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (2019L0225)
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  • 对地面层自适应光学系统而言,多采用呈正多边形排列的多颗激光导引星星座作为参考来测量大气湍流对系统的影响。针对多颗激光导引星应当如何排布的问题,本文采用简化的地面层自适应光学几何模型作为系统性能评价函数,通过遗传算法优化获得不同湍流廓线下导引星的最优分布。同时,采用多进程、Numba库和多线程提高海量大气湍流廓线下对整个系统性能的估计速度。利用上述方法,以一个视场为14'的地面层自适应光学系统为例,用实测的大气湍流廓线数据分析了不同天文观测台址下湍流廓线与最优位置分布的关系。研究结果表明,同一台址下不同数目导引星的最优位置分布差异不大,其统计最优位置均呈中心一颗或角半径接近视场边缘的正多边形分布;不同台址下的导引星最优位置分布差异明显;大气湍流廓线测量的空间分辨率直接影响系统性能评价结果:其测量结果中的等效层数越多,导引星位置分布越接近规则的多边形。

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  • 图 1  地面层自适应光学系统简化几何模型图

    Figure 1.  Geometric model for ground layer adaptive optics systems

    图 2  遗传算法流程图

    Figure 2.  Flow chart of the genetic algorithm

    图 3  遗传算法中染色体的重组过程

    Figure 3.  Chromosome recombination process in the genetic algorithm

    图 4  遗传算法中染色体的变异过程

    Figure 4.  Chromosome variation process in the genetic algorithm

    图 5  遗传算法中不同子种群数目的收敛效果

    Figure 5.  Convergence effect of different subpopulations

    图 6  一条湍流廓线数据下5次激光导引星位置结果。(a)~(e)分别为5次相同条件下的导引星位置结果;(f) 5次位置的统计结果

    Figure 6.  The position results of the laser guiding star for five measurements with single turbulent profile data. (a)~(e) The results of guiding star positions under the same condition for five measurements respectively; (f) Total positional results of five measurements

    图 7  另一条湍流廓线数据下3次激光导引星位置结果。(a)~(c)分别为3次相同条件下的导引星位置结果

    Figure 7.  The position results of the laser guiding star for three measurements with another turbulent profile data. (a)~(c) The results of guiding star positions under the same condition for three measurements respectively

    图 8  上述两种情形中对应的大气湍流廓线图。(a) 图 6对应的大气湍流廓线图;(b) 图 7对应的大气湍流廓线图

    Figure 8.  Atmospheric turbulence profiles corresponding to the above two cases. (a) Atmospheric turbulence profile corresponding to Figure 6; (b) Atmospheric turbulence profile corresponding to Figure 7

    图 9  不同观测台址下激光导引星的位置分布图。(a) 帕拉纳尔下的位置分布;(b) 莫纳克亚山下的位置分布

    Figure 9.  Location distribution of laser guiding stars at different observation stations. (a) Paranal; (b) Mauna Kea

    图 10  帕拉纳尔下 3 颗和 4 颗激光导引星的位置分布。(a) 3 颗星的位置分布;(b) 4 颗星的位置分布

    Figure 10.  The position distribution of three and four laser guiding stars in Paranal. (a) Three stars; (b) Four stars

    图 11  莫纳克亚山下 3 颗和 4 颗激光导引星的位置分布。(a) 3 颗星的位置分布;(b) 4 颗星的位置分布

    Figure 11.  The position distribution of three and four laser guiding stars in Mauna Kea. (a) Three stars; (b) Four stars

    表 1  大气湍流数据情况

    Table 1.  Atmospheric turbulence data

    台址 测量方法 数据量 等效层数
    智利帕拉纳尔 Stereo-SCIDAR 7563 100
    夏威夷莫纳克亚山 MASS 163208 6
    下载: 导出CSV

    表 2  帕拉纳尔台址下的湍流数据格式

    Table 2.  Turbulence data format in paranal

    高度/m 大气折射率结构常Cn2/m^(1/3) 风速/(m/s) 风方向/(°)
    0 2.247E-14 11.474 347.4
    250 2.068E-14 10.345 332.9
    ... ... ... ...
    下载: 导出CSV

    表 3  莫纳克亚山台址下的湍流数据格式

    Table 3.  Turbulence data format in Mauna Kea

    L 3 0.5 7.99E-14 5.9 1.47E-14 9.9 4.28E-14
    X 6 0.5 6.97E-14 1.0 8.89E-22 2.0 1.09E-20
    4.0 3.49E-15 8.0 4.90E-14 16.0 6.63E-15
    ...
    下载: 导出CSV

    表 4  地面层自适应光学系统的参数

    Table 4.  Parameters of the ground layer adaptive optical system

    参数 数值
    望远镜口径/m 10
    激光导引星数目 5
    激光导引星高度/km 90
    视场角/(') 14
    大气相干长度r0/m 0.1
    外尺度L0/m 10
    下载: 导出CSV

    表 5  不同加速方案的运行时间结果对比

    Table 5.  Comparison of running time with different acceleration schemes  s

    加速方案 子种群数目
    1 10 15 20 30 40 50 100
    几何模型:多进程+Numba 3.5 33.5 48 65 96 128 164 321
    几何模型:多进程+Numba遗传算法:多线程 3.2 32.5 47 64 97.5 129 164 320
    几何模型:多线程+Numba遗传算法:多进程 15 15 18 21 25 38 43 78
    下载: 导出CSV
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出版历程
收稿日期:  2019-09-02
修回日期:  2019-12-02
刊出日期:  2020-09-15

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