Baseline correction algorithm for laser-induced breakdown spectroscopy

Gaowei PAN; Jinfang SHI; Rong QIU; Huili WANG; Qing WAN; Zhiwei ZHANG; Kai WANG

doi:10.5768/JAO202243.0307002

Journals >Journal of Applied Optics >Volume 43 >Issue 3 >Page 538 > Article

Journal of Applied Optics
Vol. 43, Issue 3, 538 (2022)

Baseline correction algorithm for laser-induced breakdown spectroscopy

Gaowei PAN^1,2, Jinfang SHI^1,2,*, Rong QIU¹, Huili WANG¹..., Qing WAN³, Zhiwei ZHANG¹ and Kai WANG¹|Show fewer author(s)

Author Affiliations

¹Joint Laboratory for Extreme Conditions Matter Properties, Southwest University of Science and Technology, Mianyang 621010, China

²School of Manufacturing Science and Engineering, Southwest University of Science and Technology, Mianyang 621010, China

³Teaching and Research Assurance Center, Army Logistics University of PLA, Chongqing 401331, China

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DOI: 10.5768/JAO202243.0307002 Cite this Article

Gaowei PAN, Jinfang SHI, Rong QIU, Huili WANG, Qing WAN, Zhiwei ZHANG, Kai WANG. Baseline correction algorithm for laser-induced breakdown spectroscopy[J]. Journal of Applied Optics, 2022, 43(3): 538 Copy Citation Text

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Abstract

Aiming at the problem of periodic arch protrusion in laser-induced breakdown spectroscopy (LIBS) data, an improved baseline correction algorithm was proposed. By adjusting the local penalty coefficients, the algorithm which was based on penalized least square method could not only fit the periodic arch protrusion, but also reduce the effect of spectral lines intensity on fitting baseline. Compared with other baseline correction methods, the root-mean-square error (RMSE) of the proposed algorithm was smaller when fitting the simulation baseline, and the correlation coefficients of the calibration curve based on spectral data obtained by the proposed algorithm reached 0.997 2. The results show that compared with the existing baseline removal method, the proposed algorithm can better retain the effective information of the spectral data when the echelle grating spectrometer collecting the baseline of LIBS.

Keywords

baseline correction echelle grating spectrometer laser-induced breakdown spectroscopy penalized least square method

$ R = \sum\limits_i {{{\left( {{\Delta ^2}{{{{\textit{z}}}}_i}} \right)}^2}} $

(1)

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$ S = \sum\limits_i {{{{\omega}} _i}{{\left( {{{{y}}_i} - {{{{\textit{z}}}}_i}} \right)}^2}} $

(2)

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$ {{{\omega}} _i} = \left\{ {

\begin{array}{l} \begin{matrix} p & , y_{i} > z_{i} \end{matrix} \\ \begin{matrix} 1 - p & , y_{i} ⩽ z_{i} \end{matrix} \end{array}

} \right. $

(3)

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$ {{\omega}} _i^{\left( t \right)} = \left\{ {

\begin{matrix} p & ， y_{i} - z_{i} > k σ ω_{i}^{(t - 1)} \\ 1 & ， y_{i} - z_{i} ⩽ k σ ω_{i}^{(t - 1)} \end{matrix}

} \right. $

(4)

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$ Q = {\left( {{{y}} - {{{\textit{z}}}}} \right)^{\text{T}}}{{{\boldsymbol{W}}}}\left( {{{y}} - {{{\textit{z}}}}} \right) + \lambda {{{{\textit{z}}}}^{\text{T}}}{{{{\boldsymbol{D}}}}^{\text{T}}}{{{\boldsymbol{D}}{\textit{z}}}} $

(5)

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$ {{{\textit{z}}}} = {\left( {{\boldsymbol{W}} + \lambda {{\boldsymbol{D}}^{\text{T}}}{\boldsymbol{D}}} \right)^{ - 1}}{\boldsymbol{W}}y $

(6)

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$ {{\alpha}} = \left\{ {

\begin{array}{l} 1 & , | d y_{i} | < 0.003 \\ 100 & , o t h e r s \end{array}

} \right. $

(7)

Gaowei PAN, Jinfang SHI, Rong QIU, Huili WANG, Qing WAN, Zhiwei ZHANG, Kai WANG. Baseline correction algorithm for laser-induced breakdown spectroscopy[J]. Journal of Applied Optics, 2022, 43(3): 538

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