LED Spectral Matching Based on Adaptive Differential Evolution Algorithm

Zhen Cheng; Ganshang Si; Zhengang Li; Zhiqiang Ning; Jiaxiang Liu; Wenbiao Huang; Beibei Si; Changping Yang; Yonghua Fang

doi:10.3788/AOS202242.0930004

Acta Optica Sinica, Volume. 42, Issue 9, 0930004(2022)

LED Spectral Matching Based on Adaptive Differential Evolution Algorithm

Zhen Cheng^1,2, Ganshang Si², Zhengang Li², Zhiqiang Ning², Jiaxiang Liu², Wenbiao Huang^1,2, Beibei Si², Changping Yang^1,2, and Yonghua Fang^1,2、*

Author Affiliations

¹School of Environment Science and Optoelectronic Technology, University of Science and Technology of China, Hefei 230026, Anhui, China

²Key Laboratory of Environment Optics and Technology, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031, Anhui, China

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Figures & Tables(11)

Fig. 1. Improved variation factor F varying with number of iterations

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Fig. 2. Improved crossover probability factor M_CR varying with number of iterations

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Fig. 3. Flow chart of SADE spectrum matching algorithm

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Fig. 4. AM1.5 spectrum fitted by equally distributed LEDs. (a) 15 nm; (b) 20 nm; (c) 30 nm

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Fig. 5. Vegetation spectrum fitted by equally distributed LEDs. (a) 15 nm; (b) 20 nm; (c) 30 nm

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Fig. 6. AM1.5 spectrum and vegetation spectrum fitted by SADE algorithm. (a) AM1.5 spectrum; (b) vegetation spectrum

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Fig. 7. AM1.5 spectrum and vegetation spectrum fitted by SA algorithm. (a) AM1.5 spectrum; (b) vegetation spectrum

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Fig. 8. AM1.5 spectrum and vegetation spectrum fitted by GA algorithm. (a) AM1.5 spectrum; (b) vegetation spectrum

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Table 1. Results of spectral curves fitted by SADE algorithm

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Table 1. Results of spectral curves fitted by SADE algorithm

Target spectrum	Band range /nm	LED type	R²	RMSE
		Peak wavelength with 15 nm interval	0.9934	0.1045
AM1.5 spectrum	380--800	Peak wavelength with 20 nm interval	0.9913	0.1197
		Peak wavelength with 30 nm interval	0.9824	0.1703
		Peak wavelength with 15 nm interval	0.9978	0.0131
Vegetation spectrum	400--780	Peak wavelength with 20 nm interval	0.9969	0.0154
		Peak wavelength with 30 nm interval	0.9849	0.0342

Table 2. Peak wavelengths and FWHMs of 25 kinds of LEDs in laboratory
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Table 2. Peak wavelengths and FWHMs of 25 kinds of LEDs in laboratory
Peak wavelength /nm FWHM /nm Peak wavelength /nm FWHM /nm
380 10 560 40
395 15 590 20
400 17 600 15
410 17 610 15
420 16 630 15
430 19 645 17
450 20 660 17
460 22 680 20
480 26 700 22
500 25 730 22
520 30 760 24
530 30 780 25
545 40

Table 3. Comparison of results of different algorithms
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Table 3. Comparison of results of different algorithms
Method R² RMSE
AM1.5 spectrum Vegetation spectrum AM1.5 spectrum Vegetation spectrum
SA 0.9404 0.9036 0.3132 0.0864
GA 0.9547 0.9137 0.2731 0.0817
SADE 0.9715 0.9528 0.2166 0.0604

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Zhen Cheng, Ganshang Si, Zhengang Li, Zhiqiang Ning, Jiaxiang Liu, Wenbiao Huang, Beibei Si, Changping Yang, Yonghua Fang. LED Spectral Matching Based on Adaptive Differential Evolution Algorithm[J]. Acta Optica Sinica, 2022, 42(9): 0930004

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