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
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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    References(21)

    [1] YIN Hao, SUN Youwen, LIU Cheng et al. Ground-based FTIR observation of hydrogen chloride (HCl) over Hefei,China,and comparisons with GEOS-Chem model data and other ground-based FTIR stations data[J]. Optics Express, 28, 8041-8055(2020).

    [2] WANG Yuhao, LIU Jianguo, XU Liang et al. Qualitative analysis of gas detection limit of Fourier infrared spectroscopy[J]. Acta Physica Sinica, 71, 85-92(2022).

    [3] SHAN Changgong, WANG Wei, LIU Cheng et al. Retrieval of vertical profiles and tropospheric CO2 columns based on high-resolution FTIR over Hefei, China[J]. Optics Express, 29, 4958-4977(2021).

    [4] YIN Hao, SUN Youwen, LIU Cheng et al. FTIR time series of stratospheric NO2 over Hefei,China,and comparisons with OMI and GEOS-Chem model data[J]. Optics Express, 27, A1225-A1240(2019).

    [5] LIN C, GRANT R H, HEBER A J et al. Sources of error in open-path FTIR measurements of N2O and CO2 emitted from agricultural fields[J]. Atmospheric Measurement Techniques, 13, 2001-2013(2020).

    [6] JU Wei, LU Changhua, ZHANG Yujun et al. Characteristic wavelength selection of volatile organic compounds infrared spectra based on improved interval partial least squares[J]. Journal of Innovative Optical Health Sciences, 12, 1950005(2019).

    [7] WU Yifan, PENG Silong, XIE Qiong et al. Nonlinear least squares with local polynomial interpolation for quantitative analysis of IR spectra[J]. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 206, 147-153(2019).

    [8] CHENG Xiaoxiao, LIU Jianguo, XU Liang et al. IR spectral inversion of methane concentration and emission rate in shale gas backflow[J]. Spectroscopy and Spectral Analysis, 41, 3717-3721(2021).

    [9] HU Yunyou, XU Liang, XU Hanyang et al. Three-dimensional reconstruction of a leaking gas cloud based on two scanning FTIR remote-sensing imaging systems[J]. Optics Express, 30, 25581-25596(2022).

    [10] LIU Zhiming, LIU Wenqing, GAO Minguang et al. Study of the retrieval algorithm of emission gas spatio-temporal distribution of pollution source using the infrared Solar Occultation Flux (SOF) method[J]. Acta Physica Sinica, 59, 5397-5405(2010).

    [11] MANNING C J, GRIFFITHS P R. Noise sources in step-scan FT-IR spectrometry[J]. Applied Spectroscopy, 51, 1092-1101(1997).

    [12] WANG Xin, LU Shilong, LI Yan et al. Automatic baseline correction of gas spectra based on baseline drift model[J]. Spectroscopy and Spectral Analysis, 38, 3946-3951(2018).

    [13] SHEN Xianchun, XU Liang, YE Shubin et al. Automatic baseline correction method for the open-path Fourier transform infrared spectra by using simple iterative averaging[J]. Optics Express, 26, A609-A614(2018).

    [14] WEAKLEY A T, GRIFFITHS P R, ASTON D E. Automatic baseline subtraction of vibrational spectra using minima identification and discrimination via adaptive, least-squares thresholding[J]. Applied Spectroscopy, 66, 519-529(2012).

    [15] WANG Yuhao, LIU Jianguo, XU Liang et al. Quantitative analysis of accuracy of concentration inversion under different temperature and pressure[J]. Acta Physica Sinica, 70, 105-111(2021).

    [16] GRIFFITH D W T, DEUTSCHER N M, CALDOW C et al. A Fourier transform infrared trace gas and isotope analyser for atmospheric applications[J]. Atmospheric Measurement Techniques, 5, 2481-2498(2012).

    [17] TONG Jingjing, GAO Minguang, XU Liang et al. Measurement and study of 1,3-butadiene based on open path FTIR spectroscopy[J]. Infrared and Laser Engineering, 42, 239-243(2013).

    [18] GRIFFITH D W T. Synthetic calibration and quantitative analysis of gas-phase FT-IR spectra[J]. Applied Spectroscopy, 50, 59-70(1996).

    [19] PATON-WALSH C, SMITH T E L, YOUNG E L et al. New emission factors for Australian vegetation fires measured using open-path Fourier transform infrared spectroscopy-Part 1: Methods and Australian temperate forest fires[J]. Atmospheric Chemistry and Physics, 14, 11313-11333(2014).

    [20] HARIG R. Passive remote sensing of pollutant clouds by Fourier-transform infrared spectrometry: signal-to-noise ratio as a function of spectral resolution[J]. Applied Optics, 43, 4603-4610(2004).

    [21] MARK H L, GRIFFITHS P R. Analysis of noise in fourier transform infrared spectra[J]. Applied Spectroscopy, 56, 633-639(2002).

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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: Liang XU (xuliang@aiofm.ac.cn)

    DOI:10.3788/gzxb20245304.0430003

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