Infrared and Laser Engineering, Volume. 51, Issue 12, 20220238(2022)

Defocus diagnosis method of LAMOST spectrograph based on multi-object image definition evaluation

Xiaojie Zhang1,2,3, Wei Wei1,2,3、*, Yonghui Hou1,2, Yong Zhang1,2, Hangxin Ji1,2, Xiaofei Li1,2, Qishuai Lu1,2, Kang Huang1,2,3, and Yuyao Liu1,2,3
Author Affiliations
  • 1National Astronomical Observatories/Nanjing Institute of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing 210042, China
  • 2CAS Key Laboratory of Astronomical Optics & Technology, Nanjing Institute of Astronomical Optics & Technology, Nanjing 210042, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
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    Figures & Tables(14)
    Diagram of LAMOST auto-focusing camera system structure
    A part of the LAMOST spectrometer calibration lamp spectrum
    (a) Normal spots; (b) Pixel depth distribution curve about normal spots in the Y direction; (c) Spots of slightly defocus; (d) Pixel depth distribution curve about spots of slightly defocus in the Y direction; (e) Spots of excessively defocus; (f) Pixel depth distribution curve about normal spots in the Y direction
    Flow chart of spots information acquisition
    (a) Fitting comparison of normal spots in the Y direction; (b) Fitting comparison of slghtly defocus spots in the Y direction; (c) Fitting comparison of excessively defocus spots in the Y direction
    (a) FWHM distribution of all spots under the normal condition; (b) FWHM distribution of all spots in the defocus
    Relational graph of X-RSS, Y-RSS and Δf
    Diagram of defocus function model
    Comparison diagram of normalized image definition evaluation curve
    Results of defocus diagnosis
    • Table 1. R2 of three types of spots under the different terms of four functional models

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      Table 1. R2 of three types of spots under the different terms of four functional models

      Function modelR2 of three types of spots
      NormalSlightly defocusExcessively defocus
      Fourier10.910.970.82
      20.980.980.98
      30.990.980.98
      Polynomial10.0200
      20.520.730.82
      30.590.730.83
      Sum of sine10.620.800.82
      20.980.970.95
      30.990.980.98
      GMM10.980.970.76
      20.980.980.98
      30.990.980.98
    • Table 2. FWHM values of three types of spots under four functional models

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      Table 2. FWHM values of three types of spots under four functional models

      Spot typeFWHM theoretical value Function model
      GMMFourierSum of sinePolynomial
      Normal5.45.35.24.99.4
      Slightly defocus 6.56.46.66.68.4
      Excessively defocus 10.610.110.410.411.3
    • Table 3. The number of spots identified by spectra at different defocus amount

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      Table 3. The number of spots identified by spectra at different defocus amount

      Defocusing distance/μm02550100125150175
      Number of spots553544537468402251150
    • Table 4. The comparison of image definition function evaluation criterion

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      Table 4. The comparison of image definition function evaluation criterion

      MethodRMSEαβ
      Roberts1.410.1803
      DCT1.670.5503
      Entropy1.040.862
      Vollaths2.230.2202
      Multi-objective108.300.1703
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    Xiaojie Zhang, Wei Wei, Yonghui Hou, Yong Zhang, Hangxin Ji, Xiaofei Li, Qishuai Lu, Kang Huang, Yuyao Liu. Defocus diagnosis method of LAMOST spectrograph based on multi-object image definition evaluation[J]. Infrared and Laser Engineering, 2022, 51(12): 20220238

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    Paper Information

    Category: Image processing

    Received: Apr. 7, 2022

    Accepted: --

    Published Online: Jan. 10, 2023

    The Author Email: Wei Wei (wwei@niaot.ac.cn)

    DOI:10.3788/IRLA20220238

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