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
  • show less
    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

      View table
      View in Article

      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
    Tools

    Get Citation

    Copy Citation Text

    Shaomin Li, Liqun Sun, "Natural logarithm wavelength modulation spectroscopy," Chin. Opt. Lett. 19, 031201 (2021)

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    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

    Topics