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Chinese Journal of Lasers, Volume. 52, Issue 17, 1705001(2025)

Prediction and Correction of Aberration Mode Coefficients Based on Linear Quadratic Gaussian Control

Bang Zhao1,2,3, Lingxi Kong1,2,3, Yong Cheng1,2,3, Ruifeng He1,2,3, Shuai Wang1,2, Kangjian Yang1,2、**, and Ping Yang1,2、*
Author Affiliations
  • 1National Key Laboratory of Adaptive Optics, Chengdu 610209, Sichuan , China
  • 2Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, Sichuan , China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (9)
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    References (24)
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    Figures & Tables(9)
    Adaptive optics system control model

    Fig. 1. Adaptive optics system control model

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    Schematic diagram of the adaptive optics wavefront aberration correction system and the time delay in the system. (a) Schematic diagram; (b) time delay

    Fig. 2. Schematic diagram of the adaptive optics wavefront aberration correction system and the time delay in the system. (a) Schematic diagram; (b) time delay

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    Correction effects. (a) Root-mean-square (RMS) values of defocus aberrations before and after correction with PI control; (b) PV values of defocus aberrations before and after correction with PI control; (c) spectral comparison of defocus aberrations before and after correction with PI control; (d) RMS values of defocus aberrations before and after correction with LQG control; (e) PV values of defocus aberrations before and after correction with LQG control; (f) spectral comparison of defocus aberrations before and after correction with LQG control

    Fig. 3. Correction effects. (a) Root-mean-square (RMS) values of defocus aberrations before and after correction with PI control; (b) PV values of defocus aberrations before and after correction with PI control; (c) spectral comparison of defocus aberrations before and after correction with PI control; (d) RMS values of defocus aberrations before and after correction with LQG control; (e) PV values of defocus aberrations before and after correction with LQG control; (f) spectral comparison of defocus aberrations before and after correction with LQG control

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    Correction effects of proposed method on 180 Hz single-stage aberration. (a) RMS values of defocus aberrations before and after correction; (b) PV values of defocus aberrations before and after correction; (c) spectral comparison of defocus aberrations before and after correction; (d) RMS values of coma aberrations before and after correction; (e) PV values of coma aberrations before and after correction; (f) spectral comparison of coma aberrations before and after correction

    Fig. 4. Correction effects of proposed method on 180 Hz single-stage aberration. (a) RMS values of defocus aberrations before and after correction; (b) PV values of defocus aberrations before and after correction; (c) spectral comparison of defocus aberrations before and after correction; (d) RMS values of coma aberrations before and after correction; (e) PV values of coma aberrations before and after correction; (f) spectral comparison of coma aberrations before and after correction

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    Correction effect of combined high-frequency, high-order aberrations. (a) RMS values of aberrations before and after correction; (b) wavefront before correction; (c) wavefront after correction

    Fig. 5. Correction effect of combined high-frequency, high-order aberrations. (a) RMS values of aberrations before and after correction; (b) wavefront before correction; (c) wavefront after correction

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    • Table 1. Correction effects of PI and LQG control methods on 25 Hz different types of aberrations

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      Table 1. Correction effects of PI and LQG control methods on 25 Hz different types of aberrations

      Type of controllerRMS before correction /μmRMS after correction /μmPV before correction /μmPV after correction /μmSpectral suppression /dB
      PI （defocus）0.3710.1891.9490.850-0.94
      LQG （defocus）0.5540.0562.2710.29525.55
      LQG （astigmatism）0.3770.0311.8100.19822.99
      LQG （coma）0.7450.0863.6420.70232.82

    • Table 2. Correction results of defocus aberrations at different frequencies

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      Table 2. Correction results of defocus aberrations at different frequencies

      Frequency /Hz

      RMS before

      correction /μm

      RMS after

      correction /μm

      PV before

      correction /μm

      PV after

      correction /μm

      Spectral

      suppression /dB

      500.2980.0391.2030.19728.02
      1000.2990.0191.1970.09924.07
      1670.2820.0191.1550.09823.18
      1800.3000.0191.2260.09921.01

    • Table 3. Correction results of coma aberrations at different frequencies

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      Table 3. Correction results of coma aberrations at different frequencies

      Frequency /Hz

      RMS before

      correction /μm

      RMS after

      correction /μm

      PV before

      correction /μm

      PV after

      correction /μm

      Spectral

      suppression /dB

      500.6970.0613.6910.42329.61
      1000.7060.0503.8860.30523.76
      1670.6150.0212.8280.10536.07
      1800.6860.0363.4860.15437.64

    • Table 4. Correction effect of 180 Hz combined high-order aberrations

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      Table 4. Correction effect of 180 Hz combined high-order aberrations

      Type of aberrationsRMS before correction /μmRMS after correction /μmPV before correction /μmPV after correction /μmSpectral suppression /dB
      Combined aberrations0.7050.1143.8990.584

      23.59 （defocus）

      23.10 （astigmatism）

      39.49 （coma）

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    Bang Zhao, Lingxi Kong, Yong Cheng, Ruifeng He, Shuai Wang, Kangjian Yang, Ping Yang. Prediction and Correction of Aberration Mode Coefficients Based on Linear Quadratic Gaussian Control[J]. Chinese Journal of Lasers, 2025, 52(17): 1705001

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    Paper Information

    Category: Beam transmission and control

    Received: Apr. 10, 2025

    Accepted: May. 12, 2025

    Published Online: Sep. 17, 2025

    The Author Email: Kangjian Yang (296695126@qq.com), Ping Yang (pingyang2516@163.com)

    DOI:10.3788/CJL250685

    CSTR:32183.14.CJL250685

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology