Structural Calculation and Optimal Design of Large-Aperture Long-Focal-Length Full-Frame Zoom Lens

Linkai Wen; Ying Liu; Yang Jiang; Yan Xing; Qiang Sun

doi:10.3788/LOP56.092201

Laser & Optoelectronics Progress, Volume. 56, Issue 9, 092201(2019)

Structural Calculation and Optimal Design of Large-Aperture Long-Focal-Length Full-Frame Zoom Lens

Linkai Wen^1,2, Ying Liu^1、*, Yang Jiang¹, Yan Xing¹, and Qiang Sun¹

¹ Precision Instrument and Equipment Research and Development Center, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin 130033, China

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

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Figures & Tables(12)

Fig. 1. Flow chart of optical design

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Fig. 2. Diagram of Gaussian structure of five groups of motion zoom lenses

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Fig. 3. Cam curves of zoom lens

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Fig. 4. Diagram of telephoto mode and its modulation transfer function. (a) Diagram of telephoto mode; (b) transfer function of telephoto mode under F#3.0

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Fig. 5. Diagram of wide-angle mode and modulation transfer function. (a) Diagram of wide-angle mode; (b) transfer function of wide-angle mode under F#3.0

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Fig. 6. Actual cam curves of 33-100 mm motion zoom lenses

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Table 1. Parameters of zoom lens
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Table 1. Parameters of zoom lens
Serial number Parameter Technical indicator
1 Wavelength range Visible light
2 Focal length /mm 33-100 (continuous)
3 F 3
4 Image size /mm 43.26 (diagonal length)
5 Angle of full fieldof view /(°) 24.421-66.510

Table 2. Lens group and total length boundary conditions for generalized Lagrangian multiplier method
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Table 2. Lens group and total length boundary conditions for generalized Lagrangian multiplier method
Mode D₁ D₂ D₃ D₄ Total length
Long focallength ≥25 ≥0 ≥1 ≥0 ≥155
Short focallength ≥1 ≥0 ≥0

Table 3. Lens group and total length boundary conditions for interior point method
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Table 3. Lens group and total length boundary conditions for interior point method
Mode D₁ D₂ D₃ D₄ Total length
Long focallength ≥0 ≥0 ≥0 ≥0 ≥130
Short focallength ≥2 ≥0 ≥0

Table 4. Lens group and total length boundary conditions for sequence quadratic programming method
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Table 4. Lens group and total length boundary conditions for sequence quadratic programming method
Mode D₁ D₂ D₃ D₄ D₅ Totallength
Long focallength ≥0 ≥0 ≥0 ≥0 ≥49 ≥120
Short focallength ≥0 ≥0 ≥0 ≥0

Table 5. Focal length and relative aperture of each lens group for three optimization algorithms

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Table 5. Focal length and relative aperture of each lens group for three optimization algorithms

AlgorithmRelative aperture	GLM method		Interior point method		SQP
AlgorithmRelative aperture	f'	D/f'	f'	D/f'	f'	D/f'
Group 1	67.36	1/0.80	113.05	1/1.17	138.78	1/1.30
Group 2	-25.33	1/0.54	-37.47	1/0.54	-44.12	1/0.72
Group 3	51.45	1/1.89	52.15	1/1.68	41.93	1/1.75
Group 4	-145.79	1/3.64	-118.83	1/3.25	-99.92	1/3.64
Group 5	74.86	1/1.48	84.85	1/1.82	85.23	1/1.97

Table 6. Calculation results of three optimization algorithms

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Table 6. Calculation results of three optimization algorithms

Algorithm	Total length oftelephoto mode /mm	Total length ofwide-angle mode /mm	Largest relativeaperture value(aperture/focal length)	Aperture ofgroup 1
GeneralizedLagrangian method	159.19	157.79	1/0.54	84
Interiorpoint method	180.58	182.42	1/0.54	97
Modified sequencequadratic programming	172.30	150.43	1/0.72	106

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Linkai Wen, Ying Liu, Yang Jiang, Yan Xing, Qiang Sun. Structural Calculation and Optimal Design of Large-Aperture Long-Focal-Length Full-Frame Zoom Lens[J]. Laser & Optoelectronics Progress, 2019, 56(9): 092201

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Paper Information

Category: Optical Design and Fabrication

Received: Nov. 21, 2018

Accepted: Nov. 28, 2018

Published Online: Jul. 5, 2019

The Author Email: Ying Liu (liuy613@qq.com)

DOI:10.3788/LOP56.092201

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Parameters of zoom lens

Table 1. Parameters of zoom lens

Table 2. Lens group and total length boundary conditions for generalized Lagrangian multiplier method

Table 2. Lens group and total length boundary conditions for generalized Lagrangian multiplier method

Table 3. Lens group and total length boundary conditions for interior point method

Table 3. Lens group and total length boundary conditions for interior point method

Table 4. Lens group and total length boundary conditions for sequence quadratic programming method

Table 4. Lens group and total length boundary conditions for sequence quadratic programming method

Table 5. Focal length and relative aperture of each lens group for three optimization algorithms

Table 5. Focal length and relative aperture of each lens group for three optimization algorithms

Table 6. Calculation results of three optimization algorithms

Table 6. Calculation results of three optimization algorithms