中国物理B ›› 2017, Vol. 26 ›› Issue (3): 39501-039501.doi: 10.1088/1674-1056/26/3/039501

• GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇    

Error analysis of the piston estimation method in dispersed fringe sensor

Yang Li(李杨), Sheng-Qian Wang(王胜千), Chang-Hui Rao(饶长辉)   

  1. 1 Laboratory on Adaptive Optics, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;
    2 Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
    3 University of Chinese Academy of Sciences, Beijing 100049, China
  • 收稿日期:2016-11-10 修回日期:2016-12-06 出版日期:2017-03-05 发布日期:2017-03-05
  • 通讯作者: Chang-Hui Rao E-mail:chrao@ioe.ac.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61008038).

Error analysis of the piston estimation method in dispersed fringe sensor

Yang Li(李杨)1,2,3, Sheng-Qian Wang(王胜千)1,2, Chang-Hui Rao(饶长辉)1,2   

  1. 1 Laboratory on Adaptive Optics, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;
    2 Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
    3 University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2016-11-10 Revised:2016-12-06 Online:2017-03-05 Published:2017-03-05
  • Contact: Chang-Hui Rao E-mail:chrao@ioe.ac.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61008038).

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摘要： Dispersed fringe sensor (DFS) is an important phasing sensor of next-generation optical astronomical telescopes. The measurement errors induced by the measurement noise of three piston estimation methods for the DFS including least-squared fitting (LSF) method, frequency peak location (FPL) method and main peak position (MPP) method, are analyzed theoretically and validated experimentally in this paper. The experimental results coincide well with the theoretical analyses. The MPP, FPL, LSF are used respectively when the DFS operates with broadband light (central wavelength: 706 nm, bandwidth: 23 nm). The corresponding root mean square (RMS) value of estimated piston error can be achieved to be 1 nm, 3 nm, 26 nm, respectively. Additionally, the range of DFS with the FPL can be more than 100 μm at the same time. The FPL method can work well both in coarse and fine phasing stages with acceptable accuracy, compared with LSF method and MPP method.

关键词: adaptive and segmented optics, telescopes, interferometer, phase measurement

Abstract: Dispersed fringe sensor (DFS) is an important phasing sensor of next-generation optical astronomical telescopes. The measurement errors induced by the measurement noise of three piston estimation methods for the DFS including least-squared fitting (LSF) method, frequency peak location (FPL) method and main peak position (MPP) method, are analyzed theoretically and validated experimentally in this paper. The experimental results coincide well with the theoretical analyses. The MPP, FPL, LSF are used respectively when the DFS operates with broadband light (central wavelength: 706 nm, bandwidth: 23 nm). The corresponding root mean square (RMS) value of estimated piston error can be achieved to be 1 nm, 3 nm, 26 nm, respectively. Additionally, the range of DFS with the FPL can be more than 100 μm at the same time. The FPL method can work well both in coarse and fine phasing stages with acceptable accuracy, compared with LSF method and MPP method.

Key words: adaptive and segmented optics, telescopes, interferometer, phase measurement

中图分类号:  (Adaptive and segmented optics)

  • 95.75.Qr
95.55.Cs (Ground-based ultraviolet, optical and infrared telescopes) 07.60.Ly (Interferometers)