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Acta Optica Sinica, Volume. 42, Issue 20, 2030001(2022)

Calibration-Free Wavelength Modulation Spectroscopy Method Based on the Height-Width Characteristic of Second Harmonic

Yihong Wang, Bin Zhou*, Rong Zhao, and Bubin Wang
Author Affiliations
  • Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, Jiangsu , China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (12)
    Equations (0)
    References (26)
    Cited By (1)
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    Figures & Tables(12)
    Second harmonic waveform Hαof spectral absorptivityα(v)

    Fig. 1. Second harmonic waveform Hαof spectral absorptivityα(v)

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    Calculation of dimensionless harmonic width. (a) Simulation data of dimensionless harmonic width with 0≤r≤0.2 and0.5≤m≤3; (b) relative error of approximate formula for dimensionless harmonic width

    Fig. 2. Calculation of dimensionless harmonic width. (a) Simulation data of dimensionless harmonic width with 0≤r≤0.2 and0.5≤m≤3; (b) relative error of approximate formula for dimensionless harmonic width

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    Flow chart for calculating absorption lineshape parameters and gas mole fraction using the proposed algorithm

    Fig. 3. Flow chart for calculating absorption lineshape parameters and gas mole fraction using the proposed algorithm

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    Simulated results of CH4 absorption spectrum. (a) CH4 absorption line near 6046.95 cm-1; (b) simulated results of CH4 absorption spectrum (x=2%, P=1 atm, L=20 cm, and T=296 K) using the data from HITRAN 2020 database and Voigt fitting results; (c) residual error for the fitting

    Fig. 4. Simulated results of CH4 absorption spectrum. (a) CH4 absorption line near 6046.95 cm-1; (b) simulated results of CH4 absorption spectrum (x=2%, P=1 atm, L=20 cm, and T=296 K) using the data from HITRAN 2020 database and Voigt fitting results; (c) residual error for the fitting

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    Experimental setup of CH4 mole fraction measurement system

    Fig. 5. Experimental setup of CH4 mole fraction measurement system

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    WMS-2f/1f and Hα signals at different CH4 mole fractions. (a) 2.10×10-2; (b) 1.10×10-3; (c) 5.01×10-4; (d) 2.54×10-4

    Fig. 6. WMS-2f/1f and Hα signals at different CH4 mole fractions. (a) 2.10×10-2; (b) 1.10×10-3; (c) 5.01×10-4; (d) 2.54×10-4

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    Comparison of measurement results of CH4 mole fraction. (a) Measured value; (b) relative error

    Fig. 7. Comparison of measurement results of CH4 mole fraction. (a) Measured value; (b) relative error

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    Allan deviation using different WMS methods

    Fig. 8. Allan deviation using different WMS methods

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    • Table 1. Parameters of each coefficient in Eq. (10) under the best fitting

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      Table 1. Parameters of each coefficient in Eq. (10) under the best fitting

      ParameterValueParameterValue
      p11.966194179p7-1.7755132
      p20.39093334p80.017671096
      p33.093996758p91.041510614
      p40.388999538p10-0.14622152
      p50.806546476p11-1.07380685
      p6-0.28913222

    • Table 2. Parameters of CH4 absorption lines around 6046.95 cm-1 in HITRAN 2020 database[26]

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      Table 2. Parameters of CH4 absorption lines around 6046.95 cm-1 in HITRAN 2020 database[26]

      Wavenumber /cm-1S0 /（cm-2·atm-1）E" /cm-1ξself /（cm-1·atm-1）ξair /（cm-1·atm-1）nair
      6046.9425200.0195349662.87580.07900.06510.73
      6046.9516200.0230069662.87680.07900.07740.73
      6046.9635760.0360840062.87820.07900.05780.73

    • Table 3. Measurement results of CH4 mole fraction using different methods

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      Table 3. Measurement results of CH4 mole fraction using different methods

      Setting value2.10×10-21.57×10-21.05×10-25.28×10-32.08×10-31.10×10-35.01×10-42.54×10-4
      WMS-2f/1f methodRC2.116×10-21.575×10-21.035×10-25.337×10-32.084×10-31.047×10-34.219×10-41.276×10-4
      RE /%0.740.09-1.311.090.21-3.93-15.80-49.68

      Hα

      （proposed method）

      		RC2.121×10-21.593×10-21.037×10-25.349×10-32.079×10-31.050×10-34.617×10-41.855×10-4
      RE /%1.011.23-1.191.30-0.06-3.63-7.86-26.83
      Wang methodRC2.134×10-21.603×10-21.046×10-25.424×10-32.091×10-31.118×10-35.182×10-42.684×10-4
      RE /%1.621.84-0.322.720.552.563.425.83

    • Table 4. Comparison of different calibration-free WMS methods

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      Table 4. Comparison of different calibration-free WMS methods

      MethodComputational consumptionHarmonics requiredAccuracy
      WMS-2f/1fHigh1st， 2ndHigh
      Hα （proposed）Low2ndMiddle
      WANGMiddle2nd， 4th， 6thMiddle
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    Yihong Wang, Bin Zhou, Rong Zhao, Bubin Wang. Calibration-Free Wavelength Modulation Spectroscopy Method Based on the Height-Width Characteristic of Second Harmonic[J]. Acta Optica Sinica, 2022, 42(20): 2030001

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    Paper Information

    Category: Spectroscopy

    Received: Oct. 29, 2021

    Accepted: Apr. 19, 2022

    Published Online: Oct. 18, 2022

    The Author Email: Zhou Bin (zhoubinde@seu.edu.cn)

    DOI:10.3788/AOS202242.2030001

    Topics

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