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Spectroscopy and Spectral Analysis, Volume. 41, Issue 12, 3676(2021)

Research on the Relationship Between Modulation Depth and Center of High Order Harmonic in TDLAS Wavelength Modulation Method

Hao CHEN1、1; 2;, Yu JU3、3;, and Li HAN1、1;
Author Affiliations
  • 11. Institute of Electrical Engineering, Chinese Academy of Sciences, Beijing 100190, China
  • 33. Beijing Aerospace Yilian Science and Technology Development Company, Beijing 100176, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (8)
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    Figures & Tables(8)
    Second harmonic center amplitude, fourth harmonic center amplitude and modulation depth function curve

    Fig. 1. Second harmonic center amplitude, fourth harmonic center amplitude and modulation depth function curve

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    Simulation signals of the second and fourth harmonics under different air pressures

    Fig. 2. Simulation signals of the second and fourth harmonics under different air pressures

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    Schematic diagram of experimental device

    Fig. 3. Schematic diagram of experimental device

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    Measured second and fourth harmonic signals at different air pressures

    Fig. 4. Measured second and fourth harmonic signals at different air pressures

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    Curves of measured second harmonic and fourth harmonic center amplitude

    Fig. 5. Curves of measured second harmonic and fourth harmonic center amplitude

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    Relative error curve of mean value of mp under different pressure conditions

    Fig. 6. Relative error curve of mean value of mp under different pressure conditions

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    • Table 1. Theoretical and practical values of modulation depth m and harmonic center amplitude ratio under different air pressure

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      Table 1. Theoretical and practical values of modulation depth m and harmonic center amplitude ratio under different air pressure

      Pressure/atmTheoretical/mMeasured/mRelative Error/%Theoretical/I4f/I2fMeasured/I4f/I2fRelative Error/%
      0.37.136 57.009 31.780.756 30.752 5-0.50
      0.54.281 94.218 01.490.629 40.625 1-0.68
      0.73.058 53.016 21.380.525 80.521 3-0.86
      0.92.378 82.347 01.340.441 40.436 8-1.04
      1.11.946 31.921 01.300.372 70.368 2-1.21
      1.31.646 91.625 81.280.316 60.312 4-1.33
      1.51.427 31.409 21.270.270 80.266 9-1.44

    • Table 2. Central amplitude, amplitude ratio and modulation depth m of the second and fourth harmonics under different air pressures

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      Table 2. Central amplitude, amplitude ratio and modulation depth m of the second and fourth harmonics under different air pressures

      Pressure
      /kPa      		I4f
      (ν=ν0)      		I2f
      (ν=ν0)      		I4f/I2fm
      177.975.29921.370.081 70.622 6
      158.299.541 006.530.098 90.698 0
      140.4130.541 093.990.119 30.784 5
      119.6179.841 192.870.150 80.914 4
      100.5258.531 289.450.200 51.120 1
      79.0360.361 378.460.261 41.384 5
      69.6432.301 408.640.306 91.598 5
      61.1504.631 430.330.352 81.835 5
      49.9604.061 442.500.418 82.226 7
      40.2712.331 430.800.497 92.810 3
      30.2846.301 378.530.614 04.061 0
      20.0842.881 251.390.673 65.028 1
      10.4752.85948.680.793 68.631 0
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    Hao CHEN, Yu JU, Li HAN. Research on the Relationship Between Modulation Depth and Center of High Order Harmonic in TDLAS Wavelength Modulation Method[J]. Spectroscopy and Spectral Analysis, 2021, 41(12): 3676

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    Paper Information

    Category: Research Articles

    Received: Nov. 27, 2020

    Accepted: --

    Published Online: Dec. 17, 2021

    The Author Email:

    DOI:10.3964/j.issn.1000-0593(2021)12-3676-06

    Topics

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