• Chinese Optics Letters
  • Vol. 20, Issue 9, 093001 (2022)
Linquan Lai1, Yue Chen1, Kongtao Chen1, Jiale Tang1, Kaiwen Yin1, Fuqiang Jia1、*, Dun Qiao2, Yuanlong Fan2, Kang Li2, and Nigel Copner2
Author Affiliations
  • 1Fujian Key Laboratory of Ultrafast Laser Technology and Applications, School of Electronic Science and Technology, Xiamen University, Xiamen 361005, China
  • 2Wireless & Optoelectronics Research & Innovation Centre, Faculty of Computing, Engineering & Science, University of South Wales, Wales CF37 1DL, UK
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    DOI: 10.3788/COL202220.093001 Cite this Article Set citation alerts
    Linquan Lai, Yue Chen, Kongtao Chen, Jiale Tang, Kaiwen Yin, Fuqiang Jia, Dun Qiao, Yuanlong Fan, Kang Li, Nigel Copner. Reconstruction and fitting of second-harmonic signals by wavelength modulation spectroscopy method based on fast Fourier transform[J]. Chinese Optics Letters, 2022, 20(9): 093001 Copy Citation Text show less

    Abstract

    Conventional wavelength modulation spectroscopy (WMS) is vulnerable to the influence of low-frequency noise. Accuracy of the method highly depends on the performance of the costly lock-in amplifier. In this article, we report a new and effective method for reconstructing second-harmonic signals through WMS based on fast Fourier transform (FFT). This method is less disturbed by low-frequency noise because it does not use a low-frequency ramp wave. Formulation and detection procedures were presented. The discrete second-harmonic waveform can be obtained by continuously changing the DC signal and FFT analysis in this method. Second-harmonic waveforms acquired by the two means are generally consistent. The experimental study validates the obtained gas concentration from 5% to 30%, showing a good linear relationship by the proposed method. The maximum relative error on concentration extraction is 2.87%; as for conventional WMS, this value is 4.50%. The developed measurement method may have potential in computed tomography.
    It(ν)=I0eα(ν)χL,

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    ν(t)=νc+αcos(2πft).

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    I0=Ic+ΔIcos(θ+ψ).

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    It(νc,θ)=I0n=0Hn(νc)cos(nθ).

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    H2(νc)=ΔI2H1(νc)+IcH2(νc)+ΔI2H3(νc).

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    gL(ν)=1(νν0)2+α2,

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    H2(x,m)=Lχα2[4m22(M+1x2)M2+4x2+M+4xM2+4x2Mm2M2+4x2],

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    P2fI0CLα2{2m2[22+m2(1+m2)1/2]}.

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    Linquan Lai, Yue Chen, Kongtao Chen, Jiale Tang, Kaiwen Yin, Fuqiang Jia, Dun Qiao, Yuanlong Fan, Kang Li, Nigel Copner. Reconstruction and fitting of second-harmonic signals by wavelength modulation spectroscopy method based on fast Fourier transform[J]. Chinese Optics Letters, 2022, 20(9): 093001
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