Comprehensive design analysis and verification of space-based short-wave infrared coded spectrometer via curved prism dispersion

Xin-Yin Jia; Xin-Yin Jia; Xi-Jie Li; Bing-Liang Hu; Li-Bo Li; Fei-Cheng Wang; Zhao-Hui Zhang; Ying Yang; Shan-Liang Ke; Chun-bo Zou; Jia Liu; Si-yuan Li

doi:10.1364/AO.449320

Applied Optics
Vol. 61,
Issue 8,
pp. 2125-2139
(2022)
•https://doi.org/10.1364/AO.449320

Comprehensive design analysis and verification of space-based short-wave infrared coded spectrometer via curved prism dispersion

Xin-Yin Jia, Xi-Jie Li, Bing-Liang Hu, Li-Bo Li, Fei-Cheng Wang, Zhao-Hui Zhang, Ying Yang, Shan-Liang Ke, Chun-bo Zou, Jia Liu, and Si-yuan Li

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Xin-Yin Jia, Xi-Jie Li, Bing-Liang Hu, Li-Bo Li, Fei-Cheng Wang, Zhao-Hui Zhang, Ying Yang, Shan-Liang Ke, Chun-bo Zou, Jia Liu, and Si-yuan Li, "Comprehensive design analysis and verification of space-based short-wave infrared coded spectrometer via curved prism dispersion," Appl. Opt. 61, 2125-2139 (2022)

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- Optical Devices, Sensors, and Detectors
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About this Article
History
- Original Manuscript: November 24, 2021
- Revised Manuscript: February 7, 2022
- Manuscript Accepted: February 12, 2022
- Published: March 9, 2022

Abstract

The spaceborne dispersive spectrometer is widely used in environmental, resource, and ocean observations. The coded spectrometer has higher energy advantages than the dispersion spectrometer, so it has great application prospects. In the current study, we developed an off-axis short-wave infrared coded optical system (SICOS) based on curved prism dispersion, and we further explored the design and optimization of the SICOS structure. Finite element analyses of a space-based short-wave infrared coded spectrometer based on curved prism dispersion (SSICS-CPD), including static simulation, modal analysis, sinusoidal vibration mechanical analysis, and random vibration mechanical analysis, were carried out. Simulation results showed that the SICOS support structure had excellent mechanical and thermal stability. As off-axis optical systems cannot meet the requirements of optical position accuracy through centering processing, a point source microscope and three-coordinate measuring machines were employed to complete the high-precision and rapid assembly of the SSICS-CPD. In addition, verification tests of surface shape error, stress relief, random vibration, and optical design parameters were carried out to validate the high stability and imaging performance of the SSICS-CPD. Results showed that the average modulation transfer function in the full field was 0.43 at 16.67 lp/mm, the spectral smile was ${\lt}{0.2}$ pixels, and the spectral keystone was ${\lt}{0.1}$ pixels. The design, analysis, assembly, and verification of the SSICS-CPD provide a useful reference for the development of other spaceborne prism dispersion spectrometers.

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Parameter	Value
Scan type	Pushbroom
Spectral range	0.9 µm–2.5 µm
Spectral resolution	10 nm
Working F-number	3.75
Magnification	1:1
Object field of view	$96 m m \times 19.8 m m$
Modulation transfer function	$> 0.4$ at 16.67 lp/mm
Spectral keystone	$< 0.2$ pixels
Spectral smile	$< 0.2$ pixels
Detector pixel size	$30 µ m \times 30 µ m$

Number	Optical Element	Dimension (mm)	Material	Mass (kg)
1	Coding board	$30 \times 110 \times 2$	JGS3	0.015
2	Curved prism 1	$184 \times 130$	HPFS 7979 Infrared	1.500
3	Curved reflection prism 1	$204 \times 132$	JGS2	1.547
4	Secondary mirror	$φ 89$	HPFS 7979 Infrared	0.272
5	Curved prism 2	$182 \times 166$	HPFS 7979 Infrared	2.138
6	Curved reflection prism 2	$206 \times 148$	JGS2	1.857
7	Plane mirror	$140 \times 104$	JGS2	0.571
8	Curved prism 3	$128 \times 64$	HPFS 7979 Infrared	0.317

Part Name	Minimum Bonding Area ( ${m m}^{2}$ )	Minimum Diameter of Bonding Area (mm)	Design Diameter of Bonding Area (mm)	Design Value of Bonding Area ( ${m m}^{2}$ )
CP1S	122	$4 \times φ 7$	$2 \times φ 13$ , $2 \times φ 20$	893
CRP1S	118	$4 \times φ 7$	$4 \times φ 18$	1 017
CP2S	146	$4 \times φ 7$	$2 \times φ 13$ , $2 \times φ 26$	1 327
CRP2S	168	$4 \times φ 8$	$4 \times φ 18$	1 017
PMS	45	$4 \times φ 4$	$4 \times φ 13$	531
CP3S	25	$4 \times φ 3$	$4 \times φ 8$	201

Mode	Frequency	Modal Effective Mass Factor (%)
Number	(Hz)	$X$	$Y$	$Z$
1	180.1	14.4	62.7	0.5
2	208.1	63.9	14.4	0.1
3	224.1	2.2	2.1	2.0
4	230.7	0.1	0.1	6.2
5	241.5	0.2	0.1	0.5
6	248.8	0.2	0.1	0.7
7	260.2	0.1	0.4	0.4
8	287.5	0.2	2.3	5.4
9	289.9	0.8	1.5	0.5
10	331.7	0.4	0.5	0.1
11	346.7	0.8	0.1	0.1
12	376.3	1.5	0.1	11.7
13	390.8	0.4	0.5	27.4
14	410.2	0.5	0.1	7.5
15	442.2	1.0	0.1	9.9
16	472.5	1.3	0.5	4.1
17	479.1	0.1	0.1	3.6
18	495.3	0.8	0.3	3.9
19	498.8	0.1	0.4	1.5
20	514.2	2.9	0.1	0.4
Total effective mass factor (%)		91.7	86.5	86.5

Direction	Frequency (Hz)	Magnitude
$X$	$5 - 12$	5.2 mm (one-side peak)
	12–25	3 g
	25–30	3 g–2.5 g
	30–100	2.5 g
$Y$	5–12	5.2 mm (one-side peak)
	12–25	3 g
	25–26	3 g–6 g
	26–30	6 g
	30–55	6 g–4 g
	55–100	4 g–2 g
$Z$	5–10	5.2 mm (one-side peak)
	10–30	2 g
	30–35	2 g–4 g
	35–70	4 g
	70–75	4 g–2 g
	75–100	2 g

Parameter	Range	Magnitude
Frequency (Hz)	20–90	$+ 3 d B / o c t a v e$
	90–500	$0.06 g^{2} / H z$
	500–750	$0.045 g^{2} / H z$
	750–2000	−9 dB/octave
Total RMS acceleration ( $g_{r m s}$ )	—	7.07
Test time (min)	—	1
Direction	—	$X$ , $Y$ , $Z$

Parameter	Requirement	Design Result
Mass	$< (50 k g)$	48 kg
Overall dimension	$< (800 \times 500 \times 500 m m)$	$760 \times 481 \times 380 m m$
First-order fundamental frequency	$> 100 H z$	180.1 Hz
Dynamic stress (support structure)	$< 800 M P a$	47.3 MPa (maximum)
Dynamic stress (optical elements)	$< 20 M P a$	1.10 MPa (maximum)
Amplification of RMS acceleration	$< 6$	3.24 (maximum)
Installation interface	—	$10 \times φ 7$ (through-hole), $2 \times φ 6$ (dowel-hole)

Optical element	$T_{X}$ (mm)	$T_{Y}$ (mm)	$T_{Z}$ (mm)	$φ$	$δ$	$θ$
Curved prism 1	0.05	0.02	0.02	$6^{'}$	$3 0^{''}$	$3 0^{''}$
Curved reflection prism 1	0.05	—	—	—	$2 0^{''}$	$2 0^{''}$
Secondary mirror	—	—	—	—	—	—
Curved prism 2	0.05	0.02	0.02	$6^{'}$	$3 0^{''}$	$3 0^{''}$
Curved reflection prism 2	0.05	—	—	—	$3 0^{''}$	$3 0^{''}$
Plane mirror	0.05	—	—	—	$3 0^{''}$	$3 0^{''}$
Curved prism 3	0.05	0.02	0.02	$6^{'}$	$3 0^{''}$	$3 0^{''}$

Optical Element	Surface Shape Error (RMS) of Bare Optical Element (λ)	Surface Shape Error (RMS) of Optical Element after Bonding and Curing (λ)
Curved prism 1	0.026	0.027
Curved reflection prism 1	0.028	0.028
Secondary mirror	0.025	0.025
Curved prism 2	0.026	0.025
Curved reflection prism 2	0.022	0.023
Plane mirror	0.020	0.021
Curved prism 3	0.023	0.023

Abstract

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Applied Optics