Parameter Optimization of Laser-Induced Breakdown Spectroscopy Experimental Device Based on Response Surface Methodology

Pan Lijian; Chen Weifang; Zhou Yanfeng; Cui Rongfang

doi:10.3788/CJL202047.0911001

Chinese Journal of Lasers, Volume. 47, Issue 9, 911001(2020)

Parameter Optimization of Laser-Induced Breakdown Spectroscopy Experimental Device Based on Response Surface Methodology

Pan Lijian, Chen Weifang^*, Zhou Yanfeng, and Cui Rongfang

Author Affiliations

College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210001, China

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Abstract Get PDF(in Chinese)

Figures & Tables(12)

Fig. 1. Schematic of LIBS experimental system

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Fig. 2. LIBS spectra of aluminum alloy

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Fig. 3. Results of single factor experiment. (a) Laser energy; (b) delay time; (c) depth of focus

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Fig. 4. Normal probability distribution of residuals

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Fig. 5. Distribution of predicted and actual values

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Fig. 6. Effect of interaction between laser energy and delay time on SBR of spectral line. (a) Response surface diagram; (b) contour map

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Fig. 7. Effect of interaction between laser energy and depth of focus on SBR of spectral line. (a) Response surface diagram; (b) contour map

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Fig. 8. Effect of interaction between delay time and depth of focus on SBR of spectral line. (a) Response surface diagram; (b) contour map

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Table 1. Factors and levels for single factor experiment
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Table 1. Factors and levels for single factor experiment
Factor Value
Laser energy /mJ 80,90,100,110,120
Delay time /μs 1,2,3,4,5
Depth of focus /mm -1,0,1,2,3

Table 2. Factors and levels for response surface methodology
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Table 2. Factors and levels for response surface methodology
Factor Variablesymbol Level
-1 0 1
Laser energy /mJ X₁ 100 110 120
Delay time /μs X₂ 1 2 3
Depth of focus /mm X₃ 1 2 3

Table 3. Design parameters and results of experiments

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Table 3. Design parameters and results of experiments

Experiment No.	X₁ / mJ	X₂ /μs	X₃ / mm	R_SBR
1	120	2	3	6.42
2	110	2	2	7.12
3	110	2	2	7.31
4	120	1	2	7.02
5	110	3	1	6.61
6	110	2	2	7.42
7	100	2	1	6.48
8	110	1	1	6.85
9	100	2	3	6.29
10	110	3	3	6.45
11	110	2	2	7.39
12	110	2	2	7.27
13	100	3	2	6.54
14	120	3	2	6.87
15	120	2	1	7.04
16	100	1	2	6.35
17	110	1	3	6.56

Table 4. Analysis of variance

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Table 4. Analysis of variance

Source	Sum of square	Degree of freedom	Mean square error	F	P	Significant
Model	2.31	9	0.26	17.43	0.0005	Y
X₁	0.36	1	0.36	24.24	0.0017	Y
X₂	0.012	1	0.012	0.82	0.3965
X₃	0.20	1	0.20	13.47	0.0080	Y
X₁X₂	0.029	1	0.029	1.96	0.2040
X₁X₃	0.046	1	0.046	3.14	0.1198
X₂X₃	0.0042	1	0.0042	0.29	0.6088
$\begin{matrix} X_{1}^{2} \end{matrix}$	0.47	1	0.47	31.79	0.0008	Y
$\begin{matrix} X_{2}^{2} \end{matrix}$	0.31	1	0.31	21.38	0.0024	Y
$\begin{matrix} X_{3}^{2} \end{matrix}$	0.71	1	0.71	48.29	0.0002	Y
Residual	0.10	7	0.015
Lack of fit	0.047	3	0.016	1.13	0.4380	N
Pure error	0.056	4	0.014

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Pan Lijian, Chen Weifang, Zhou Yanfeng, Cui Rongfang. Parameter Optimization of Laser-Induced Breakdown Spectroscopy Experimental Device Based on Response Surface Methodology[J]. Chinese Journal of Lasers, 2020, 47(9): 911001

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