Design of the freeform imaging system with large field of view and large relative aperture

Bingxu Chen; Zhiyuan Liao; Chao Cao; Yu Bai; Da Mu

doi:10.3788/IRLA20200005

Journals >Infrared and Laser Engineering >Volume 49 >Issue 8 >Page 20200005 > Article

Infrared and Laser Engineering
Vol. 49, Issue 8, 20200005 (2020)

Design of the freeform imaging system with large field of view and large relative aperture

Bingxu Chen¹, Zhiyuan Liao², Chao Cao², Yu Bai², and Da Mu¹

Author Affiliations

¹School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun 130022, China

²Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China

show less

DOI: 10.3788/IRLA20200005 Cite this Article

Bingxu Chen, Zhiyuan Liao, Chao Cao, Yu Bai, Da Mu. Design of the freeform imaging system with large field of view and large relative aperture[J]. Infrared and Laser Engineering, 2020, 49(8): 20200005 Copy Citation Text

show less

Fig. 1. Flow chart of design process

Download full size | View in the Article

Fig. 2. Change trend of RMS diameter of spot diagram

Download full size | View in the Article

Fig. 3. Interval constraint range

Download full size | View in the Article

Fig. 4. In-progress and final results for design of the initial configuration. (a) Initial system; (b) Results for system construction using Φ(X1, Y1); (c) Final result

Download full size | View in the Article

Fig. 5. Field map of RMS wavefront error for final system

Download full size | View in the Article

Fig. 6. MTF for the final system

Download full size | View in the Article

Fig. 7. Encircled energy distribution of all field

Download full size | View in the Article

Fig. 8. (a) PM 3D free-form surface; (b) SM 3D free-form surface; (c) TM 3D free-form surface

Download full size | View in the Article

Fig. 9. Tolerance probability curve

Download full size | View in the Article

Term	Zernike polynomial	XY polynomial	Corresponding aberration type
1			Piston(constant)
1			0th order in wavefront
2			Distortion-tilt(x-axis)
2			2nd order in wavefront
3			Distortion-tilt(y-axis)
3			2nd order in wavefront
4			Defocus
4			2nd order in wavefront
5			Astigmatism, primary (axis at 0°or 90°)
5			4th order in wavefront
6			Astigmatism, primary (axis at ±45°)
6			4th order in wavefront
7			Coma,Primary(x-axis)
7			4th order in wavefront
8			Coma,Primary(y-axis)
8			4th order in wavefront
9			Spherical aberration,Primary
9			4th order in wavefront

Table 1.

Zernike polynomials and XYpolynomials correspond to aberration relations

Zernike多项式与XY多项式对应像差关系

View in the Article

Parameter	Specification
Wavelength range/μm	8-12
Focal length/mm	400
F-number	2
Field of view
Pixel size/μm	30

Table 2.

Optical system specification

光学系统参数

View in the Article

Parameter	Range	Result
d₁/mm	[−250,−100]	−201.4271
d₂/mm	[100,250]	210.6225
r₁/mm	[−800,−50]	−780.0523
r₂/mm	[−800,−50]	−115.2459
r₃/mm	[−800,−50]	−279.4206
k₁	[−10,10]	9.0266
k₂	[−10,10]	2.5360
k₃	[−10,10]	0.1883
α₁/(°)	[10,30]	15
α₂/(°)	[10,30]	25.0181
α₃/(°)	[10,30]	10.0006

Table 3.

Ranges of configuration parameters and optimization result

解空间结构参数范围和求解结果

View in the Article

Surface	△R/mm	△K	RMS surface error(λ=9 μm)	Displacement			Tilt
Surface	△R/mm	△K	RMS surface error(λ=9 μm)	X/μm	Y/μm	Z/μm	X/(″)	Y/(″)	Z/(″)
PM	0.02	0.10%	1/50λ	20	20	25	30	30	20
SM	0.05	0.05%	1/40λ	40	40	20	20	20	20
TM	0.05	0.10%	1/50λ	20	20	20	20	20	30

Table 4.

Tolerances distribution of the system

系统公差分配表

View in the Article

Cumulative probability	Change in MTF
Cumulative probability	F1	F2	F3	F4	F5	F6	F7	F8	F9
50.0%	0.002 4	0.004 3	0.004 6	0.010 5	0.006 4	0.012 8	0.015 6	0.007 6	0.005 4
84.1%	0.012 7	0.012 5	0.017 4	0.036 8	0.017 7	0.024 5	0.038 9	0.026 3	0.024 7
97.7%	0.018 5	0.025 6	0.029 8	0.073 7	0.028 8	0.039 7	0.062 2	0.045 0	0.031 6
99.9%	0.022 4	0.037 8	0.052 5	0.103 0	0.048 4	0.068 5	0.098 4	0.063 7	0.046 7

Table 5.

Tolerances performance of all field

全视场公差变动表现

Download Citation

Save the article for my favorites

Paper Information