An Optimal Modeling of Bidirectional Reflectance Distribution Function for Coating Metals in 1550 nm

Meng Wang; Wei Yan; Zhenhua Li; Jiancheng Lai; Chunyong Wang; Yunjing Ji

doi:10.3788/LOP202259.2129001

Laser & Optoelectronics Progress, Volume. 59, Issue 21, 2129001(2022)

An Optimal Modeling of Bidirectional Reflectance Distribution Function for Coating Metals in 1550 nm

Meng Wang, Wei Yan, Zhenhua Li^*, Jiancheng Lai^**, Chunyong Wang^***, and Yunjing Ji

Author Affiliations

School of Science, Nanjing University of Science & Technology, Nanjing 210094, Jiangsu, China

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Figures & Tables(12)

Fig. 1. Geometric relation of BRDF

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Fig. 2. TSM calculation flow chart

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Fig. 3. Experimental sample

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Fig. 4. Schematic of experimental device

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Fig. 5. Experimental device. (a) Detector patr; (b) light source part

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Fig. 6. GA, GSAA, and GTSA minimum value of per generation

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Fig. 7. Comparison of experimental and calculated values of black coated aluminum plate at 30° incidence

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Fig. 8. Comparison between experimental and calculated values of black coated. (a) Incidence is 45°; (b) incidence is 60°

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Fig. 9. Calculated and experimental values of the two samples. (a) Green coated; (b) yellow coated

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Table 1. Experimental value of 30° incident angle of black coating
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Table 1. Experimental value of 30° incident angle of black coating
Detection angle /（°） $f_{r}$ /sr^-1 Variance
0 0.08 2.8 $\times$ 10^-4
15 1.20 9.9 $\times$ 10^-4
30 4.04 5.3 $\times$ 10^-4
45 1.56 7.7 $\times$ 10^-4
60 0.14 4.5 $\times$ 10^-4

Table 2. Calculation results of GA, GSAA, and GTSA

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Table 2. Calculation results of GA, GSAA, and GTSA

Arithmetic	$σ$	$n$	$k$	$k_{s}$	$k_{d}$	$Δ_{m i n}$ /%	Calculation time in 50 iterations /s	Number of iterations that converge to the minimum
GA	0.1197	1.5437	3.0274	0.6643	0.2061	0.25	0.2907	38
GSAA	0.1164	1.6937	3.8844	0.6108	0.2096	0.17	1.8850	23
GTSA	0.1195	1.6600	3.6509	0.6542	0.1850	0.10	2.6876	15

Table 3. Calculation results of green coated and yellow coated
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Table 3. Calculation results of green coated and yellow coated
Sample $σ$ $n$ $k$ $k_{s}$ $k_{d}$ $Δ_{m i n}$ /%
Green coated 0.1239 1.6637 3.4927 0.7991 0.1202 0.28
Yellow coated 0.1181 1.7317 4.8388 0.8934 0.1116 0.19

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Meng Wang, Wei Yan, Zhenhua Li, Jiancheng Lai, Chunyong Wang, Yunjing Ji. An Optimal Modeling of Bidirectional Reflectance Distribution Function for Coating Metals in 1550 nm[J]. Laser & Optoelectronics Progress, 2022, 59(21): 2129001

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