Design method of wide field-of-view imaging systems using Gaussian radial basis functions freeform surfaces

Junhao Ni; Junhao Ni; Tong Yang; Tong Yang; Dewen Cheng; Yongtian Wang; Yongtian Wang

doi:10.1364/AO.423022

Applied Optics
Vol. 60,
Issue 15,
pp. 4491-4501
(2021)
•https://doi.org/10.1364/AO.423022

Design method of wide field-of-view imaging systems using Gaussian radial basis functions freeform surfaces

Junhao Ni, Tong Yang, Dewen Cheng, and Yongtian Wang

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Junhao Ni, Tong Yang, Dewen Cheng, and Yongtian Wang, "Design method of wide field-of-view imaging systems using Gaussian radial basis functions freeform surfaces," Appl. Opt. 60, 4491-4501 (2021)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Check for updates

Abstract

High optical performance systems with wide field-of-view (FOV) have important applications in remote sensing. The radial basis functions, which have a prominent local characteristic in surface description, have attracted much attention in recent years. In this paper, an effective design method for the wide FOV imaging system using Gaussian radial basis function freeform surfaces is proposed. The FOV of the optical system is extended from a relatively small value to a larger one, and the Gaussian radial basis function surfaces are extended stepwise based on certain criteria. A high image quality and small distortion off-axis freeform three-mirror system with a wide FOV (${{60}}^\circ \times {0.6}^\circ$) is designed as an example. Tolerance analysis considering both surface figure error and assembly error is performed. The design results demonstrate the effectiveness of the proposed method.

Full Article | PDF Article

More Like This

Design of a panoramic annular lens system with an ultra-wide angle via an annular Gaussian radial basis function freeform surface

Yingzhe Yang, Jia Wang, Yuejia Li, and Jian Bai
Appl. Opt. 62(15) 3941-3947 (2023)

Design of off-axis three-mirror systems with ultrawide field of view based on an expansion process of surface freeform and field of view

Qingyu Meng, Hongyuan Wang, Wenjing Liang, Zhiqiang Yan, and Bingwen Wang
Appl. Opt. 58(3) 609-615 (2019)

Designing reflective imaging systems with multiple-surfaces-integrated elements using a Gaussian function freeform surface

Tong Yang, Lijun Zhou, Dewen Cheng, and Yongtian Wang
Appl. Opt. 61(17) 5215-5225 (2022)

Previous Article Next Article

Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (13)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (3)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (6)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

	System I	System II	System III	System IV	System V
FOV	$4^{\circ} \times {0.6}^{\circ}$	$12^{\circ} \times {0.6}^{\circ}$	$52^{\circ} \times {0.6}^{\circ}$	$56^{\circ} \times {0.6}^{\circ}$	$60^{\circ} \times {0.6}^{\circ}$
MTF at 77 cycles/mm	$> 0.75$	$> 0.75$	$> 0.60$	$> 0.62$	$> 0.60$
RMS wavefront error	$0.004 λ$	$0.004 λ$	$0.056 λ$	$0.036 λ$	$0.051 λ$
Maximum radial distortion	0.08%	0.29%	10.03%	11.27%	7.6%
Relative distortion in $x$ direction of marginal field	0.008%	0.22%	10.02%	11.27%	2.51%
Number of sampled fields	6	12	24	24	36

	Maximum Allowable	Surface Decenter (mm)			Surface Tilt (″)
Tolerance Type	RMS Figure Error (nm)	DLX	DLY	DLZ	DLA	DLB	DLG
Primary mirror	15
Secondary mirror	10	$\pm 0 . 005$	$\pm 0 . 005$	$\pm 0 . 005$	$\pm 60$	$\pm 60$	$\pm 60$
Tertiary mirror	15	$\pm 0 . 005$	$\pm 0 . 005$	$\pm 0 . 005$	$\pm 60$	$\pm 60$	$\pm 60$
Image plane				Compensator	$\pm 60$	$\pm 60$

	In $x$ Direction			In $y$ Direction
Field	Nominal Value	Change	Predicted Final Value	Nominal Value	Change	Predicted Final Value
(0°,0°)	0.7584	$- 0.0762$	0.6822	0.7262	$- 0.0673$	0.6589
(0°,0.3°)	0.7542	$- 0.0901$	0.6641	0.7293	$- 0.0554$	0.6739
(0°, $- {0.3}^{\circ}$ )	0.7593	$- 0.0649$	0.6944	0.7277	$- 0.0563$	0.6714
(8°,0°)	0.7562	$- 0.0564$	0.6998	0.7300	$- 0.0509$	0.6791
(8°,0.3°)	0.7001	$- 0.1034$	0.5967	0.6631	$- 0.0992$	0.5639
(8°, $- {0.3}^{\circ}$ )	0.7070	$- 0.0927$	0.6143	0.6782	$- 0.0979$	0.5803
(16°,0°)	0.7527	$- 0.0530$	0.6997	0.7344	$- 0.0436$	0.6909
(16°,0.3°)	0.6489	$- 0.1148$	0.5341	0.6117	$- 0.1102$	0.5015
(16°, $- {0.3}^{\circ}$ )	0.6494	$- 0.1162$	0.5332	0.6314	$- 0.1132$	0.5182
(20°,0°)	0.7307	$- 0.0422$	0.6885	0.7243	$- 0.0449$	0.6794
(20°,0.3°)	0.6525	$- 0.0886$	0.5639	0.6357	$- 0.0990$	0.5367
(20°, $- {0.3}^{\circ}$ )	0.6632	$- 0.1001$	0.5631	0.6606	$- 0.0986$	0.5620
(24°,0°)	0.6985	$- 0.0350$	0.6635	0.7043	$- 0.0417$	0.6626
(24°,0.3°)	0.6578	$- 0.0632$	0.5946	0.6630	$- 0.0730$	0.5900
(24°, $- {0.3}^{\circ}$ )	0.6847	$- 0.0586$	0.6261	0.6958	$- 0.0475$	0.6483
(30°,0°)	0.6281	$- 0.0393$	0.5888	0.6635	$- 0.0753$	0.5882
(30°,0.3°)	0.6110	$- 0.0577$	0.5533	0.6752	$- 0.0707$	0.6046
(30°, $- {0.3}^{\circ}$ )	0.5995	$- 0.0537$	0.5458	0.6199	$- 0.0822$	0.5377

	System I	System II	System III	System IV	System V
FOV	$4^{\circ} \times {0.6}^{\circ}$	$12^{\circ} \times {0.6}^{\circ}$	$52^{\circ} \times {0.6}^{\circ}$	$56^{\circ} \times {0.6}^{\circ}$	$60^{\circ} \times {0.6}^{\circ}$
MTF at 77 cycles/mm	$> 0.75$	$> 0.75$	$> 0.60$	$> 0.62$	$> 0.60$
RMS wavefront error	$0.004 λ$	$0.004 λ$	$0.056 λ$	$0.036 λ$	$0.051 λ$
Maximum radial distortion	0.08%	0.29%	10.03%	11.27%	7.6%
Relative distortion in $x$ direction of marginal field	0.008%	0.22%	10.02%	11.27%	2.51%
Number of sampled fields	6	12	24	24	36

	Maximum Allowable	Surface Decenter (mm)			Surface Tilt (″)
Tolerance Type	RMS Figure Error (nm)	DLX	DLY	DLZ	DLA	DLB	DLG
Primary mirror	15
Secondary mirror	10	$\pm 0 . 005$	$\pm 0 . 005$	$\pm 0 . 005$	$\pm 60$	$\pm 60$	$\pm 60$
Tertiary mirror	15	$\pm 0 . 005$	$\pm 0 . 005$	$\pm 0 . 005$	$\pm 60$	$\pm 60$	$\pm 60$
Image plane				Compensator	$\pm 60$	$\pm 60$

Abstract

Data Availability

Cited By

Figures (13)

Tables (3)

Equations (6)

Applied Optics