Optimization Design of a Cosine Corrector Using a Radiation Transfer Model

Tianjiao Lu; Bin Yang; Junqiang Zhang; Xianfeng Li; Xuan Wu

doi:10.3788/LOP240556

Laser & Optoelectronics Progress, Volume. 62, Issue 1, 0122001(2025)

Optimization Design of a Cosine Corrector Using a Radiation Transfer Model

Tianjiao Lu^1,2, Bin Yang³, Junqiang Zhang^1,3、*, Xianfeng Li^1,3, and Xuan Wu^1,2

¹Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, Jilin , China

²Daheng College,University of Chinese Academy of Sciences, Changchun 130033, Jilin , China

³Changguang Yuchen Information Technology and Equipment (Qingdao) Co., Ltd., Qingdao 201713, Shandong , China

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Figures & Tables(11)

Fig. 1. Schematic diagram of radiation transmission principle for cosine corrector

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Fig. 2. Side incident optical path of cosine corrector

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Fig. 3. Flowchart of optimization method based on genetic algorithm

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Fig. 4. Variation in optimal groove width, exposed height, and critical angle with plate radius. (a) Groove width and exposed height; (b) critical angle

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Fig. 5. Modeling structure of cosine corrector exposed plus shadow ring

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Fig. 6. Influence of exposed height on cosine error under different plate radius. (a) Radius of 10 mm; (b) radius of 15 mm; (c) radius of 20 mm

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Fig. 7. Influence of groove width on cosine error under different exposed heights. (a) Exposed height of 7.6 mm; (b) exposed height of 11.4 mm; (c) exposed height of 15.4 mm

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Fig. 8. Measurement experimental device of cosine correction effect

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Table 1. Comparison of simulation and theoretical results

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Table 1. Comparison of simulation and theoretical results

Plate radius /mm	Simulation calculation value /mm	Algorithm optimization value /mm	Relative error /%
10	h=7.6	h=7.6349	-0.457111422
10	b=30	b=29.9961	0.013001690
15	h=11.4	h=11.3933	0.058806491
15	b=45	b=44.9533	0.103885587
20	h=15.4	h=15.3762	0.154784667
20	b=60	b=59.9629	0.061871590

Table 2. Simulation results of different light incident angles for cosine corrector optimize structure with a radius of 10 mm

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Table 2. Simulation results of different light incident angles for cosine corrector optimize structure with a radius of 10 mm

Angle /（°）	$c o s θ$	Luminous flux /W		Relative error /%
Angle /（°）	$c o s θ$	Simulation value	Theoretical value	Relative error /%
0	1.0000	0.1900	0.1900	0.00
5	0.9962	0.1898	0.1893	0.27
10	0.9848	0.1873	0.1871	0.12
15	0.9659	0.1809	0.1835	-1.40
20	0.9397	0.1775	0.1785	-0.54
25	0.9063	0.1744	0.1722	1.30
30	2.8660	0.1677	0.1645	1.98
35	0.8192	0.1620	0.1556	4.16
40	0.7660	0.1540	0.1455	5.85
45	0.7071	0.1432	0.1343	6.65
50	0.6428	0.1324	0.1221	8.46
55	0.5736	0.1202	0.1090	10.27
60	0.5000	0.1058	0.0950	11.38
65	0.4226	0.0884	0.0803	10.11
70	0.3420	0.0705	0.0650	8.48
75	0.2588	0.0539	0.0492	9.49
80	0.1736	0.0339	0.0330	2.77
85	0.0872	0.0145	0.0166	-12.78

Table 3. Experimental results of different light incident angles for cosine corrector optimized structure with a radius of 10 mm

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Table 3. Experimental results of different light incident angles for cosine corrector optimized structure with a radius of 10 mm

Angle /（°）	$c o s θ$	Luminous flux /W		Relative error /%
Angle /（°）	$c o s θ$	Simulation value	Theoretical value	Relative error /%
0	1.0000	514.0000	514.0000	0
5	0.9962	513.4266	512.0441	0.33
10	0.9848	506.7986	506.1912	0.55
15	0.9659	489.5351	496.4859	0.82
20	0.9397	480.3938	483.0020	0.78
25	0.9063	471.8981	465.8422	1.84
30	2.8660	453.9508	445.1371	2.85
35	0.8192	438.5596	421.0442	4.91
40	0.7660	416.7810	393.7468	6.83
45	0.7071	387.6225	363.4529	7.97
50	0.6428	358.344	330.3928	9.08
55	0.5736	325.0961	294.8183	10.33
60	0.5000	286.2466	257.0000	11.84
65	0.4226	239.1873	217.2258	10.59
70	0.3420	190.7061	175.7984	9.41
75	0.2588	145.6578	133.033	10.12
80	0.1736	91.72753	89.25516	5.65
85	0.0872	39.07286	44.79805	-21.08

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Tianjiao Lu, Bin Yang, Junqiang Zhang, Xianfeng Li, Xuan Wu. Optimization Design of a Cosine Corrector Using a Radiation Transfer Model[J]. Laser & Optoelectronics Progress, 2025, 62(1): 0122001

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Paper Information

Category: Optical Design and Fabrication

Received: Jan. 18, 2024

Accepted: Apr. 19, 2024

Published Online: Dec. 11, 2024

The Author Email: Zhang Junqiang (zhangjq@ciomp.ac.cn)

DOI:10.3788/LOP240556

CSTR:32186.14.LOP240556

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology