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

Yan Yuan; Ding Jin; Lijuan Su

doi:10.3788/LOP55.052901

Journals >Laser & Optoelectronics Progress >Volume 55 >Issue 5 >Page 052901 > Article

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

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

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

Author Affiliations

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

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DOI: 10.3788/LOP55.052901 Cite this Article Set citation alerts

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 Copy Citation Text

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

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Test 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; (e) aluminum plate blasted with brown corundum

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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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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 1. Modeling results of 2024 aluminum alloy sample with different roughnesses

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 2. Modeling results of material samples with rough surface

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

Table 3. Modeling results of different optimization algorithms

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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