Apochromatic Design of Machine Vision Optical System

Kuizhen Luo; Fangjin Yu; Xingyu Gao

doi:10.3788/LOP202158.2415003

Laser & Optoelectronics Progress, Volume. 58, Issue 24, 2415003(2021)

Apochromatic Design of Machine Vision Optical System

Kuizhen Luo^1,2, Fangjin Yu¹, and Xingyu Gao^1、*

¹Guangxi's Key Laboratory of Manufacturing Systems and Advanced Manufacturing Technology, School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China

²School of Electronics Engineering and Automation, Guilin University of Electronics Technology, Guilin, Guangxi 541004, China

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Figures & Tables(13)

Fig. 1. Initial structure of the ideal optical system

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Fig. 2. Optical structure of four segments. (a) First segment; (b) second segment; (c) third segment; (d) fourth segment

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Fig. 3. Chromatic aberration curves of four segments. (a) First segment; (b) second segment; (c) third segment; (d) fourth segment

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Fig. 4. Initial structure of the optical system

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Fig. 5. Optical system performance after the second optimization. (a) MTF; (b) chromatic aberration curve

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Fig. 6. Buchdahl dispersion coefficients of some glass materials

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Fig. 7. Dispersion vector diagram of the second optimization result

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Fig. 8. Dispersion vector diagram of the third optimization result

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Fig. 9. Optical system performance after the third optimization. (a) MTF; (b) chromatic aberration curve

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Fig. 10. Final apochromatic optical system. (a) Structure diagram; (b) aberration curve; (c) point diagram; (d) MTF; (e) chromatic aberration diagram

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Table 1. Optical parameters of the optical system
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Table 1. Optical parameters of the optical system
Parameter Value
Focal length f /mm 60
Field of view 2ω /(°) 15.2
Size of image /mm 16
Resolution /(lp·mm^-1) 200
Size of pixel /(μm×μm) 3.1×3.1

Table 2. Tracing parameters of the light and the dispersion coefficient of the glass in the second optimization

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Table 2. Tracing parameters of the light and the dispersion coefficient of the glass in the second optimization

Group	1	2	3	4	5	6	7	8	9	10
Material	H-FK71	H-BaK1	H-ZF1	H-FK1	H-ZF1	H-K3	H-F2	H-FK71	H-ZF1	H-FK71
ϕ_j	0.0106	-0.0175	0.0161	0.0318	-0.0416	-0.0260	0.0463	0.0339	-0.0370	-0.0231
Y_j	6.9050	6.5310	6.2490	5.3420	4.8840	6.0660	6.3660	6.5280	6.4690	6.8480
α_j	0.6335	-0.9379	0.7888	1.1403	-1.2495	-1.2048	2.3593	1.8180	-1.9471	-1.3610
η₁	-0.0613	-0.0913	-0.1608	-0.0613	-0.1608	-0.0854	-0.1473	-0.0613	-0.1608	-0.0613
η₂	-0.0017	0.0015	0.0535	-0.0017	0.0535	-0.0092	0.0416	-0.0017	0.0535	-0.0017

Table 3. Tracing parameters of the light and the dispersion coefficient of the glass in the third optimization

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Table 3. Tracing parameters of the light and the dispersion coefficient of the glass in the third optimization

Group	1	2	3	4	5	6	7	8	9	10
Material	H-FK71	H-BaK3	H-ZF1	H-FK1	H-ZF1	H-K3	H-F2	H-FK71	H-ZF1	H-FK71
ϕ_j	0.0118	-0.0151	0.0120	0.0317	-0.0416	-0.0272	0.0485	0.0347	-0.0359	-0.0249
Y_j	9.3520	8.0680	7.7060	5.2570	5.0170	5.7430	6.0790	6.3860	6.3290	6.9340
α_j	0.7067	-0.6740	0.4870	0.6013	-0.7186	-0.6153	1.2292	0.9702	-0.9862	-0.8211
η₁	-0.0613	-0.0881	-0.1608	-0.0613	-0.1608	-0.0854	-0.1473	-0.0613	-0.1608	-0.0613
η₂	-0.0017	-0.0043	0.0535	-0.0017	0.0535	-0.0092	0.0416	-0.0017	0.0535	-0.0017

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Kuizhen Luo, Fangjin Yu, Xingyu Gao. Apochromatic Design of Machine Vision Optical System[J]. Laser & Optoelectronics Progress, 2021, 58(24): 2415003

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Paper Information

Category: Machine Vision

Received: Dec. 28, 2020

Accepted: Mar. 3, 2021

Published Online: Nov. 29, 2021

The Author Email: Xingyu Gao (gxy1981@guet.edu.cn)

DOI:10.3788/LOP202158.2415003

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Optical parameters of the optical system

Table 1. Optical parameters of the optical system

Table 2. Tracing parameters of the light and the dispersion coefficient of the glass in the second optimization

Table 2. Tracing parameters of the light and the dispersion coefficient of the glass in the second optimization

Table 3. Tracing parameters of the light and the dispersion coefficient of the glass in the third optimization

Table 3. Tracing parameters of the light and the dispersion coefficient of the glass in the third optimization