Acta Photonica Sinica, Volume. 53, Issue 4, 0430003(2024)

Estimation of Error in Non-linear Least Square for Quantitative Analysis in Fourier Transform Infrared Spectrometry

Xinchun LI1...2, Jianguo LIU1,2, Liang XU2,*, Xianchun SHEN2, Hanyang XU2, Shengquan SHU1,2, Yuhao WANG1,2, Ling JIN2, Yasong DENG2 and Yongfeng SUN2 |Show fewer author(s)
Author Affiliations
  • 1School of Environment Science and Optoelectronic Technology, University of Science and Technology of China, Hefei 230026, China
  • 2Key Laboratory of Environmental Optics and Technology, Anhui Institute of Optics and Fine Mechanics, Hefei Institute of Physical Science, Chinese Academy of Sciences, Hefei 230031, China
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    Figures & Tables(10)
    Absorption coefficients of CBrF3, CH2Cl2 and CHCl3 in the 730~790 cm-1 band
    Experimental setup for acquisition of gas mixture spectra
    The noise of spectra at different averaging counts
    Quantitative analysis of mixture spectra using NLLS method
    Correlation analysis between transmittance spectra and single-beam spectra inversion results
    Correlation analysis between transmittance spectra and single-beam spectra inversion results
    Analysis of the correlation between the noise of spectraum and fitted residuals
    Error estimation and average concentration of each component's inversion results
    Convergence of error estimation
    • Table 1. Concentration of each component in the gas mixtures

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      Table 1. Concentration of each component in the gas mixtures

      ComponentsStandard concentration/(×10-6Configured concentration/(×10-6Configuration error/(×10-6
      CBrF3502.00100.40±2.51
      CH2Cl248.7024.35±0.24
      CHCl348.909.78±0.24
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    Xinchun LI, Jianguo LIU, Liang XU, Xianchun SHEN, Hanyang XU, Shengquan SHU, Yuhao WANG, Ling JIN, Yasong DENG, Yongfeng SUN. Estimation of Error in Non-linear Least Square for Quantitative Analysis in Fourier Transform Infrared Spectrometry[J]. Acta Photonica Sinica, 2024, 53(4): 0430003

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    Paper Information

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    Received: Sep. 4, 2023

    Accepted: Oct. 11, 2023

    Published Online: May. 15, 2024

    The Author Email: XU Liang (xuliang@aiofm.ac.cn)

    DOI:10.3788/gzxb20245304.0430003

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