Optical Instruments, Volume. 47, Issue 3, 15(2025)

Research on localization algorithm of elliptical spot in four quadrant detector

Linjie HAO, Junshan MA, and Tao JIN*
Author Affiliations
  • School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
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    Figures & Tables(12)
    Working principle diagram of four quadrant detector
    Energy distribution profile of an elliptical Gaussian spot
    Elliptical spots at different positions on four quadrant detector photosensitive surfaces
    The relationship between the x-axis and y-axis compensation factors and the offset angle
    Four orientation maps of elliptical spots on the photosensitive surface of four quadrant detectors
    Error in x-axis positioning algorithm for elliptical spots
    Error in y-axis positioning algorithm for elliptical spots
    Schematic diagram of spots position detection system
    System output power spectral density
    Error before and after compensation of the elliptical spot long axis (x-axis) localization algorithm at an offset angle of 45°
    Error before and after compensation of the elliptical spot short axis (y-axis) localization algorithm at an offset angle of 45°
    • Table 1. Comparison of root mean square error between the elliptical spot detection algorithms before and after compensation

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      Table 1. Comparison of root mean square error between the elliptical spot detection algorithms before and after compensation

      偏移角算法补偿前 Erms/μm算法补偿后Erms/μm
      x 轴 $ \theta $=0°7.325 40.162 5
      x 轴$ \theta $=30°7.826 40.190 1
      x 轴 $ \theta $=45°8.159 50.219 3
      x 轴 $ \theta $=60°8.754 50.421 9
      y 轴 $ \theta $=0°8.720 50.450 5
      y 轴 $ \theta $=30°7.285 00.292 0
      y 轴 $ \theta $=45°7.019 20.267 6
      y 轴 $ \theta $=60°5.649 10.142 2
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    Linjie HAO, Junshan MA, Tao JIN. Research on localization algorithm of elliptical spot in four quadrant detector[J]. Optical Instruments, 2025, 47(3): 15

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    Paper Information

    Received: Jan. 11, 2024

    Accepted: --

    Published Online: Jul. 28, 2025

    The Author Email: Tao JIN (jintao@usst.edu.cn)

    DOI:10.3969/j.issn.1005-5630.202401110005

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