Deflection Angle Control Bidirectional Attenuation and Its Application in Lens Design

Shuai Lu; Hemeng Qu; Haijun Guan; Jizhen Zhang; Chao Wang; Xiaolin Xie; Ning Wang

doi:10.3788/AOS241032

Acta Optica Sinica, Volume. 44, Issue 21, 2122001(2024)

Deflection Angle Control Bidirectional Attenuation and Its Application in Lens Design

Shuai Lu^1,2,3,4, Hemeng Qu^{1,2,3,4,5、*}, Haijun Guan^1,5、**, Jizhen Zhang^1,2,3,4,5, Chao Wang^1,5, Xiaolin Xie^1,5, and Ning Wang⁵

Author Affiliations

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

²University of Chinese Academy of Sciences, Beijing 100049, China

³State Key Laboratory of Applied Optics, Changchun 130033, Jilin , China

⁴Key Laboratory of Advanced Manufacturing Technology of Optical Systems, Chinese Academy of Sciences, Changchun 130033, Jilin , China

⁵Changguang Smart Optics Technology Co., Ltd., Changchun 130102, Jilin , China

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Figures & Tables(22)

Fig. 1. Hypothetical ideal lens model

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Fig. 2. Relationship between bidirectional attenuation of front and rear surfaces of lens and incident angle

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Fig. 3. Relationship between bidirectional attenuation and incident/exiting angles of front and back surfaces of lens. (a) Front incident angle; (b) front exiting angle; (c) back incident angle; (d) back exiting angle

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$Relationship between bidirectional attenuation and deflection angle of lenses with different refractive indexes$

Fig. 4. Relationship between bidirectional attenuation and deflection angle of lenses with different refractive indexes

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Fig. 5. Curve relationship between light deflection angle and bidirectional attenuation data

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Fig. 6. Fitting diagram of light deflection angle and bidirectional attenuation

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Fig. 7. Fitting residual diagram of light deflection angle and bidirectional attenuation

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Fig. 8. Object incident angle model. (a) Bending to object form; (b) Not bending to object form

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Fig. 9. Initial structural selection

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Fig. 10. First half of initial structure

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Fig. 11. Symmetric lens structure

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Fig. 12. Saidel diagram of symmetric lens structure

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Fig. 13. Final lens structure

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Fig. 14. Field curvature and distortion

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Fig. 15. RMS of wavefront in each field of view

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Fig. 16. Light deflection angle of each lens

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Table 1. Relationship between light angle and bidirectional attenuation

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Table 1. Relationship between light angle and bidirectional attenuation

Incident angle /（°）	Exitingangle /（°）	Deflection angle /（°）	Bidirectional attenuation /%
0	0	0	0
1	0.67	0.33	<2×10^-3
2	1.33	0.67	<7×10^-3
3	2.00	1.00	0.02
10	6.65	3.35	0.17
15	9.94	5.06	0.39
20	13.18	6.82	0.71
25	16.37	8.63	1.14
30	19.47	10.53	1.70
35	22.49	12.51	2.40
40	25.38	14.62	3.29
45	28.13	16.87	4.40
50	30.72	19.28	5.77

Table 2. Optical system design index

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Table 2. Optical system design index

Index	Value
F_number	1
Effective focal length /mm	≤20
Wavelength /nm	266
Field of view /mm	3.7
Magnification	$-$ 11.4 $\times$
Bidirectional attenuation of optical system /%	≤10
Bidirectional attenuation of single lens /%	≤1

Table 3. Initial data of first half of initial structure
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Table 3. Initial data of first half of initial structure
Surface Radius of curvature /mm Thickness /mm
Front surface of lens 1 $-$ 80 —
Rear surface of lens 1 $-$ 34.275 0
Front surface of lens 2 29.984 —
Rear surface of lens 2 Infinity —

Table 4. Design process that breaks symmetry

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Table 4. Design process that breaks symmetry

Magnification	Layout	W₀₄₀/W₁₃₁/W₂₂₂/W_220P/W₃₁₁ （in wavelength units）
1×		0.007/0/23.755/6.591/0
1.34×		30.238/3.107/8.967/6.584/1.833
1.4×		28.198/3.098/10.629/6.915/2.2
2×		63.567/14.617/10.793/8.87/5.615
-3.2×		19.28/-3.247/0.616/6.82/15.79
-4.2×		2.093/6.259/6.716/5.271/9.786
5.5×		11.234/0.755/2.11/1.568/6.888
5.5×		2.191/1.513/1.656/0.391/5.515
6.8×		0.434/0.032/0.679/0.005/3.345
8.2×		0.654/0.073/0.956/0.219/2.444
9.85×		1.591/0.434/1.168/0.094/8.508
11.1×		0.738/0.954/0.089/1.092/8.299
11.4×		1.144/0.241/0.332/0.368/7.530

Table 5. Final lens structure data

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Table 5. Final lens structure data

Surface	Type	Radius of curvature /mm	Thickness /mm	Glass
Object	Standard	Infinity	149.323	—
1	Standard	$-$ 87.920	10.000	C79‒80
2	Even asphere	60.617	4.464	—
3	Standard	$-$ 32.876	14.000	C79‒80
4	Standard	$-$ 37.844	154.976	—
5	Standard	$-$ 598.216	13.000	C79‒80
6	Standard	$-$ 216.027	71.548	—
7	Standard	308.507	14.000	C79‒80
8	Standard	$-$ 429.693	0.100	—
9	Standard	137.218	14.000	C79‒80
10	Standard	107.894	50.000	—
11	Standard	115.920	8.000	C79‒80
12	Standard	114.638	40.170	—
13	Standard	$-$ 108.917	18.701	C79‒80
14	Standard	$-$ 187.698	40.000	—
15	Standard	222.415	14.000	C79‒80
16	Standard	$-$ 352.728	24.717	—
Stop	Standard	Infinity	63.224	—
18	Standard	242.455	8.618	C79‒80
19	Standard	$-$ 442.415	0.100	—
20	Standard	122.157	14.261	C79‒80
21	Standard	517.718	0.100	—
22	Standard	65.027	7.999	C79‒80
23	Standard	114.107	0.100	—
24	Standard	53.164	20.599	C79‒80
25	Standard	67.821	33.999	—
Image	Standard	Infinity	—	—

Table 6. Accurate bidirectional attenuation data
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Table 6. Accurate bidirectional attenuation data
Number Field of view Mean bidirectionalattenuation /% Maximum bidirectionalattenuation /%
1 0 1.2215 3.9619
2 0.707 1.2174 4.0202
3 1 1.2132 4.0237

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Shuai Lu, Hemeng Qu, Haijun Guan, Jizhen Zhang, Chao Wang, Xiaolin Xie, Ning Wang. Deflection Angle Control Bidirectional Attenuation and Its Application in Lens Design[J]. Acta Optica Sinica, 2024, 44(21): 2122001

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