Chinese Optics Letters, Volume. 19, Issue 3, 031201(2021)

Natural logarithm wavelength modulation spectroscopy

Shaomin Li and Liqun Sun*
Author Affiliations
  • State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instruments, Tsinghua University, Beijing 100084, China
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    Figures & Tables(7)
    Absorption coefficient of water vapor around 1392 nm (P = 1 atm, T = 296 K) based on HITRAN[19]. The non-absorbing region is indicated by the dotted rectangle.
    Second harmonic R2f demodulated from the absorption signal.
    Schematic of the experiment setup.
    Detected signal from the photodetector. The non-absorbing region is indicated by the dotted rectangle.
    Response of ln-WMS-2f (black dots) and WMS-2f (red inverted triangles). The black line represents the linear fit of ln-WMS-2f versus volume fraction.
    (a) η retrieved with the η-seeking algorithm during 90 s of continuous measurement (0.1 s per measurement); (b) frequency distribution histogram of η; (c) mean of R1fNA for each measurement. The integral time of each point is 0.1 s.
    • Table 1. Pseudocode of η-Seeking Algorithm

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      Table 1. Pseudocode of η-Seeking Algorithm

      1. Initializeη=0, stride s=π/4, threshold ε=103, residuals r=1.
      2. while r>ε, repeat :
      3. R1fNA=(lnItNA×cos(ωt+η))lowpass
      4. R1fNA[F]=(lnItNA×cos(ωt+η+s))lowpass
      5. R1fNA[B]=(lnItNA×cos(ωt+ηs))lowpass
      6. if|R1fNA|<|R1fNA[F]|and|R1fNA|<|R1fNA[B]|:
      7.   rmeanof|R1fNA|
      8. else :
      9.   if|R1fNA[F]|<|R1fNA|and|R1fNA[F]|<|R1fNA[B]| :
      10.    rmeanof|R1fNA[F]|
      11.    ηη+s
      12.   else :
      13.    rmeanof|R1fNA[B]|
      14.    ηηs
      15.   ss/2
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    Shaomin Li, Liqun Sun. Natural logarithm wavelength modulation spectroscopy[J]. Chinese Optics Letters, 2021, 19(3): 031201

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    Paper Information

    Category: Instrumentation, Measurement, and Optical Sensing

    Received: Dec. 4, 2020

    Accepted: Jan. 12, 2021

    Posted: Jan. 13, 2021

    Published Online: Feb. 25, 2021

    The Author Email: Liqun Sun (sunlq@mail.tsinghua.edu.cn)

    DOI:10.3788/COL202119.031201

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