Parameter Optimization in Particle Swarm Algorithm for Spectral Shape Multiplexing Demodulation of Fiber Bragg Grating

Mei Zhang; Wei Zhang; Peng Zhang; Weimin Chen

doi:10.3788/CJL201946.0706001

Chinese Journal of Lasers, Volume. 46, Issue 7, 0706001(2019)

Parameter Optimization in Particle Swarm Algorithm for Spectral Shape Multiplexing Demodulation of Fiber Bragg Grating

Mei Zhang, Wei Zhang^*, Peng Zhang, and Weimin Chen

Key Laboratory for Optoelectronic Technology & Systems of the Ministry of Education, College of Optoelectronic Engineering, Chongqing University, Chongqing 400044, China

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Figures & Tables(14)

Fig. 1. Schematic of FBG parallel spectral shape multiplexing system

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Fig. 2. Superimposed spectra of two FBGs. (a) Non-overlapping; (b) partially overlapping; (c) completely overlapping

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Fig. 3. Superimposed spectra of three FBGs. (a) Non-overlapping; (b) partially overlapping; (c) completely overlapping

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Fig. 4. Superimposed spectra of four FBGs. (a) Non-overlapping; (b) partially overlapping; (c) completely overlapping

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Fig. 5. Superimposed spectra of five FBGs. (a) Non-overlapping; (b) partially overlapping; (c) completely overlapping

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Fig. 6. Influences of c1 and c2 on demodulation error for two FBGs. (a) Non-overlapping; (b) partially overlapping; (c) completely overlapping

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Fig. 7. Influences of c1 and c2 on demodulation error for three FBGs. (a) Non-overlapping; (b) partially overlapping; (c) completely overlapping

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Fig. 8. Influences of c1 and c2 on demodulation error for four FBGs. (a) Non-overlapping; (b) partially overlapping; (c) completely overlapping

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Fig. 9. Influences of c1 and c2 on demodulation error for five FBGs. (a) Non-overlapping; (b) partially overlapping; (c) completely overlapping

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Fig. 10. Convergence curves of demodulation algorithm under different conditions. (a) Convergence curves of four FBGs under different overlapping degrees; (b) convergence curves of different FBG multiplexing numbers under completely overlapping; (c) convergence curves of different c1 and c2 for four FBGs under completely overlapping

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Fig. 11. Experimental system of FBG parallel spectral shape multiplexing. (a) Schematic of experimental setup; (b) picture of experimental setup

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Fig. 12. Experimental results of parallel multiplexing of four FBGs. (a) Spectra of four FBGs and their superimposed spectrum; (b) influences of c1 and c2 on demodulation error (using Gaussian functions to construct superimposed spectrum); (c) influences of c1 and c2 on demodulation error (using measured FBG spectra to construct superimposed spectrum)

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Table 1. Simulation parameters of superimposed spectra of FBGs

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Table 1. Simulation parameters of superimposed spectra of FBGs

Parameter	Overlappling	Number of FBGs is 2		Number of FBGs is 3			Number of FBGs is 4
Parameter	Overlappling	FBG1	FBG2	FBG1	FBG2	FBG3	FBG1	FBG2	FBG3	FBG4
r		0.66	0.95	0.45	0.66	0.95	0.37	0.45	0.66	0.95
B_G /nm		0.2	0.2	0.2	0.2	0.2	0.2	0.2	0.2	0.2
	Non	1544.93	1544.40	1545.41	1544.93	1544.45	1544.10	1544.55	1545.48	1545.02
λ_B /nm	Partially	1544.93	1544.71	1544.49	1544.93	1544.72	1544.55	1544.55	1544.78	1544.78
	Completely	1544.93	1544.93	1544.93	1544.93	1544.93	1544.88	1544.88	1544.88	1544.88
Parameter	Overlappling	Number of FBGs is 5
		FBG1	FBG2	FBG3	FBG4	FBG5
r		0.26	0.45	0.60	0.79	0.95
B_G /nm		0.2	0.2	0.2	0.2	0.2
	Non	1544.40	1544.85	1545.28	1545.82	1546.32
λ_B /nm	Partially	1545.05	1545.55	1545.55	1545.33	1545.33
	Completely	1545.28	1545.28	1545.28	1545.28	1545.28

Table 2. Reasonablesetting ranges of parameters c1 and c2
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Table 2. Reasonablesetting ranges of parameters c1 and c2
Number of FBGs E_max≤1 pm E_max≤10 pm
2 4.1<c₁+c₂<5.5 & $\begin{matrix} |c_{2} - c_{1}| \end{matrix}$ <3.5 4.1<c₁+c₂<8 & $\begin{matrix} |c_{2} - c_{1}| \end{matrix}$ <4
3 4.1<c₁+c₂<5 & $\begin{matrix} |c_{2} - c_{1}| \end{matrix}$ <3 4.1<c₁+c₂<6 & $\begin{matrix} |c_{2} - c_{1}| \end{matrix}$ <4
4 None 4.1<c₁+c₂<5.5 & $\begin{matrix} |c_{2} - c_{1}| \end{matrix}$ <3
5 None None

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Mei Zhang, Wei Zhang, Peng Zhang, Weimin Chen. Parameter Optimization in Particle Swarm Algorithm for Spectral Shape Multiplexing Demodulation of Fiber Bragg Grating[J]. Chinese Journal of Lasers, 2019, 46(7): 0706001

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