Chinese Optics, Volume. 18, Issue 3, 672(2025)

Application of convolutional fitting in Fabry-Perot (F-P) resonator linewidth measurement

Yi QI1,2,3,4, Xue-rong GAO4、*, Shao-xin WANG4, Pan LI4, Qi-hao SHEN5, Ke-qi QI4, Zi-ren LUO1,4, and He-shan LIU4
Author Affiliations
  • 1School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China
  • 2National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
  • 4Institute of Mechanics, Chinese Academy of Science, Beijing 100190, China
  • 5Southwest Institute of Technical and Physics, Chengdu 610041, China
  • show less
    Figures & Tables(16)
    Principle of swept-frequency measurement
    Impact of laser linewidth on the signal profile
    Convolution fitting method
    Effects of data binning on signal resolution. (a) Raw spectral data; (b) binned signal reconstruction results
    Example of pseudocode for computing the output
    Laser linewidth measurement results
    Swept-frequency optical fiber experimental platform
    Frequency calibration results for cavity 1. (a) Triangular wave signal for controlling the PZT, linear region: 0.24 s; (b) beat frequency signal, peak-to-peak: 15.69 MHz
    Fitting residuals within the cycle
    Measurement results of cavity 2 by swept-frequency method
    Measurement results of cavity 1 by swept-frequency method
    • Table 1. Comparison of measured and theoretical laser linewidth values at different attenuation points (RBW=7.5 kHz)

      View table
      View in Article

      Table 1. Comparison of measured and theoretical laser linewidth values at different attenuation points (RBW=7.5 kHz)

      测量结果/Hz洛伦兹线形高斯线形
      −3 dB89832Δν1.41Δν
      −10 dB166196Δν2.58Δν
      −20 dB2380620Δν3.65Δν
    • Table 2. Laser linewidth at −20 dB (RBW=1 kHz)

      View table
      View in Article

      Table 2. Laser linewidth at −20 dB (RBW=1 kHz)

      序号测量结果/Hz
      139595
      243387
      348260
      435266
      545008
    • Table 3. Frequency tuning speeds over 10 cycles

      View table
      View in Article

      Table 3. Frequency tuning speeds over 10 cycles

      序号调谐速度(MHz/s)
      165.891
      267.058
      364.370
      464.468
      564.742
      667.588
      764.635
      864.687
      967.083
      1067.320
      平均值65.891
      标准差1.396
    • Table 4. Linewidth measurement results of cavity 2

      View table
      View in Article

      Table 4. Linewidth measurement results of cavity 2

      激光线宽/kHz腔线宽/kHz
      注:激光线宽的参考值由3.1给出,腔线宽的参考值为出厂值
      G-L拟合10.84±0.914.42±0.50
      L拟合-8.97±0.42
      参考值11.59±1.234.17
    • Table 5. Linewidth measurement results of cavity 1

      View table
      View in Article

      Table 5. Linewidth measurement results of cavity 1

      腔线宽/kHz
      L拟合204.1±11.2
      G-L拟合203.9±11.2
    Tools

    Get Citation

    Copy Citation Text

    Yi QI, Xue-rong GAO, Shao-xin WANG, Pan LI, Qi-hao SHEN, Ke-qi QI, Zi-ren LUO, He-shan LIU. Application of convolutional fitting in Fabry-Perot (F-P) resonator linewidth measurement[J]. Chinese Optics, 2025, 18(3): 672

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Special Column on Space-based Gravitational Wave Detection

    Received: Feb. 10, 2025

    Accepted: --

    Published Online: Jun. 16, 2025

    The Author Email:

    DOI:10.37188/CO.2025-0024

    Topics