Optimization Modeling and Verification of Bidirectional Reflectance Distribution Function for Rough Surfaces

Yan Yuan; Ding Jin; Lijuan Su

doi:10.3788/LOP55.052901

Laser & Optoelectronics Progress, Volume. 55, Issue 5, 052901(2018)

Optimization Modeling and Verification of Bidirectional Reflectance Distribution Function for Rough Surfaces

Yan Yuan, Ding Jin, and Lijuan Su^*;

Key Laboratory of Precision Opto-Mechatronics Technology of Ministry of Education, Beihang University, Beijing 100191, China

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Figures & Tables(8)

Fig. 1. REFLET goniophotometer. (a) Integral structure; (b) optical table and darkroom

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Fig. 3. Measurement results of the BRDF of samples. (a) 2024 aluminum alloy, R=0.8 μm; (b) 2024 aluminum alloy, R=6.3 μm; (c) 2024 aluminum alloy, R=50 μm; (d) cement plate, PTFE, aluminum plate blasted with brown corundum (θi=0°)

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Fig. 4. BRDF model fitting results and experimental measurement results of 2024 aluminum alloy sample with R=6.3 μm

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Fig. 5. BRDF model fitting results and experimental measurement results of material samples with rough surface

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Table 1. Modeling results of 2024 aluminum alloy sample with different roughnesses
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Table 1. Modeling results of 2024 aluminum alloy sample with different roughnesses
2024 aluminum alloys ample k_b k_d k_r a b E(x) /%
R=0.8 μm 20.066 0.075 1.376 0.479 -64.439 6.08
R=6.3 μm 17.695 0.003 2.704 0.537 -46.122 2.38
R=50 μm 7.526 0.155 1.229 0.689 -58.648 3.19

Table 2. Modeling results of material samples with rough surface
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Table 2. Modeling results of material samples with rough surface
Sample a b E(x) /%
PTFE 0.982 1.004 1.43
CEMENT 0.282 0.985 1.16
BROWN 0.419 1.190 1.30

Table 3. Modeling results of different optimization algorithms

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Table 3. Modeling results of different optimization algorithms

Sample	Algorithm	k_b	k_d	k_r	a	b	E(x) /%	Time /s
2024aluminum alloy(R=6.3 μm)	GA	18.951	0.143	1.532	0.630	-63.265	4.52	933
	PSO	15.958	0.611	5.894	0.557	-50.354	4.61	679
	SAPSO	17.695	0.003	2.704	0.537	-46.122	2.38	696
BROWN	GA	-	-	-	0.428	1.103	1.45	598
	PSO	-	-	-	0.435	1.211	1.51	404
	SAPSO	-	-	-	0.419	1.190	1.30	427

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Yan Yuan, Ding Jin, Lijuan Su. Optimization Modeling and Verification of Bidirectional Reflectance Distribution Function for Rough Surfaces[J]. Laser & Optoelectronics Progress, 2018, 55(5): 052901

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