Optical design and precision analysis of a single-line-array pendulum sweep high-resolution mapping camera

Yazhen Cui; Yazhen Cui; Yazhen Cui; Chunyu Liu; Chunyu Liu; Shuai Liu; Shuai Liu; Minglin Xu; Minglin Xu; Peng Xie; Peng Xie

doi:10.1364/AO.481706

Applied Optics
Vol. 62,
Issue 5,
pp. 1183-1192
(2023)
•https://doi.org/10.1364/AO.481706

Optical design and precision analysis of a single-line-array pendulum sweep high-resolution mapping camera

Yazhen Cui, Chunyu Liu, Shuai Liu, Minglin Xu, and Peng Xie

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Yazhen Cui, Chunyu Liu, Shuai Liu, Minglin Xu, and Peng Xie, "Optical design and precision analysis of a single-line-array pendulum sweep high-resolution mapping camera," Appl. Opt. 62, 1183-1192 (2023)

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Table of Contents Category
- Optical Design and Fabrication
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The topics in this list come from the Optics and Photonics Topics applied to this article.

About this Article
History
- Original Manuscript: November 24, 2022
- Revised Manuscript: December 28, 2022
- Manuscript Accepted: December 28, 2022
- Published: February 2, 2023

Abstract

With the improvement of the satellite resolution, it is urgent to develop the single-line-array mapping camera. However, the camera accuracy is influenced by the satellite attitude’s rapid maneuvering during the imaging process. In our study, a coaxial four-mirror optical system with a field bias with a focal length of 7050 mm, F-number of 10.8, field of view of 1.2°, and spectral range of 450–800 nm is designed. By combining mathematical modeling and ray tracing, the offset of the camera interior orientation elements caused by the misalignment of the secondary mirror is derived. The simulation results show that the maximum relative error does not exceed 2.119%. Besides, a desensitization design method based on the magnification parameter control method is proposed, and the results show that the sensitivity of camera interior orientation elements to the secondary mirror is reduced, indicating the effectiveness of the system desensitization design, which is of great significance for the improvement of camera accuracy.

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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.

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Detector	Maximum Radiant Brightness $W / ({s r \cdot c m}^{2})$	Minimum Radiant Brightness $W / ({s r \cdot c m}^{2})$	Maximum SNR	Minimum SNR
Panchromatic	$6.234906 \times 10^{- 3}$	$4.067499 \times 10^{- 4}$	55.0993	43.2438
Multispectral–B1	$1.167390 \times 10^{- 3}$	$1.272638 \times 10^{- 4}$	46.5512	36.9241
Multispectral–B2	$1.021462 \times 10^{- 3}$	$7.520184 \times 10^{- 5}$	46.5957	35.2627
Multispectral–B3	$1.003343 \times 10^{- 3}$	$5.330783 \times 10^{- 5}$	47.2316	34.4813
Multispectral–B4	$2.167323 \times 10^{- 3}$	$8.826453 \times 10^{- 5}$	51.4659	37.5626

Parameters	Value
Spectral range	450–800 nm
Focal length	7050 mm
Relative aperture	1/10.8
Field of view	1.2°
MTF	$> 0.3 a t 71 l p / m m$
Distortion	$< 0.05 %$

Offset	Calculation/mm	Tracing/mm	Relative Error
	Value of	Value of
Y/0.1 mm	0.95936033598	0.95935916630	0.0001219%
X/0.1°	2.32779112449	2.30299294460	1.065%

Offset	Calculation/mm	Tracing/mm	Relative Error
	Value of	Value of
Y/0.1 mm	0.00006527462	0.00006527446	0.0002451%
X/0.1°	0.00038429862	0.00037615429	2.1119%

Offset/um	Calculation/mm	Tracing/mm	Relative Error
Z-Direction
Eccentricity	Value of	Value of
−2	−4.29124651440	−4.29124700000	0.00001132%
−1	−2.14627433420	−2.14627400000	0.00001557%
0	0.00000000000	0.00000000000	——
1	2.14757770633	2.14757800000	0.00001368%
2	4.29645996765	4.29646000000	0.0000007500%

Offset	Image Principal Point Before Desensitization/mm	Image Principal Point After Desensitization/mm	Desensitization Effect
Y/0.1 mm	0.95935916630	0.80710204144	15.87%
X/0.1°	2.30299294460	1.77530240530	22.91%

Offset	The Principal Distance Before Desensitization/mm	The Principal Distance After Desensitization/mm	Desensitization Effect
Y/0.1 mm	0.00006527446	0.00004619955	29.22%
X/0.1°	0.00037615429	0.00014703541	60.91%
Z/1 µm	2.14757800000	1.43986100000	32.95%

Abstract

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Applied Optics