Optomechanical integrated optimization of a lightweight mirror for space cameras

Mengqi Shao; Mengqi Shao; Lei Zhang; Lei Zhang; Lei Zhang; Xuezhi Jia; Xuezhi Jia

doi:10.1364/AO.409658

Applied Optics
Vol. 60,
Issue 3,
pp. 539-546
(2021)
•https://doi.org/10.1364/AO.409658

Optomechanical integrated optimization of a lightweight mirror for space cameras

Mengqi Shao, Lei Zhang, and Xuezhi Jia

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Mengqi Shao, Lei Zhang, and Xuezhi Jia, "Optomechanical integrated optimization of a lightweight mirror for space cameras," Appl. Opt. 60, 539-546 (2021)

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Table of Contents Category
- Optical Devices, Sensors, and Detectors
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About this Article
History
- Original Manuscript: September 9, 2020
- Revised Manuscript: November 11, 2020
- Manuscript Accepted: December 10, 2020
- Published: January 11, 2021

Abstract

In order to improve the optical quality and lightweight ratio of a mirror, optomechanical analysis and optimization for the primary mirror of a space camera are carried out. The mirror surface performance under multiple load conditions is considered, including static gravity and uniform temperature rise load, as well as nonuniform temperature distribution loads. Sensitivities of the surface performance to the size parameters of the mirror are analyzed. The numerical simulations show that the size parameters obviously affect the performance and which parameters are key. The computed surface performance is analyzed with the help of ray-tracing software, and the contribution of size parameters to system optical performance is further evaluated. A size parameter optimization model is established to optimize the optical quality of the mirror. Finally, engineering analysis and dynamic tests are carried out. The results show that mechanical properties of the mirror are excellent, and the relative error of finite element analysis and dynamic test is within 10%. This verifies the accuracy of the model and the effectiveness of the optimization method.

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Material	SiC (Mirror)	Invar (Flexure)	Backplate (Ti alloy)
Elastic modulus ( $10^{9} P a$ )	330	141	109
Poisson ratio	0.25	0.25	0.34
Density ( ${g c m}^{- 3}$ )	3.05	8.1	4.44
Thermal conductivity ( $W^{- 6} m^{- 1} K^{- 1}$ )	155	13.7	7.4
Heat capacity ( ${J k g}^{- 1} K^{- 1}$ )	672	502	612
CTE ( $10^{- 6} K^{- 1}$ )	2.5	2.5	9.1

Subcase	$G_{X}$	$T_{U}$	$T_{A}$	$T_{R}$
Bias (mm)	6.83 E-04	3.15 E-04	9.40 E-05	1.42 E-05
Tilt (radians)	1.10 E-06	1.84 E-10	1.15 E-10	2.47 E-10
Defocus (mm)	−2.11 E-08	7.77 E-03	−6.26 E-02	2.34 E-02

Load Cases	1 g Gravity	4°C Rise	1°C $T_{A}$	1°C $T_{R}$
X-LOS (µm)	3.61	1.22 E-02	−6.40 E-03	−5.97 E-03
Y-LOS (µm)	3.63	1.10 E-02	−5.87 E-03	−3.47 E-03
WFE ( $λ$ )	2.01 E-02	2.16 E-02	2.01 E-02	2.05 E-02
MASS (g)	615

Random Vibration Direction ( $x$ , $y$ , $z$ )
Frequency range/Hz	10–80	80–800	800–2000
$P S D / (g^{2} / H z)$	$+ 3 d B / o c t$	0.01	−6 dB/oct
GRMS/g	3.56

Direction		$x$	$y$	$z$
Comparison of the results	Analysis (Hz)	635.6	634.8	1735.4
of $f$ test	Test (Hz)	627.3	625.9	1700.1
with analysis	Relative error (%)	1.3	1.4	2.0
Comparison of the	Analysis (g)	12.8	13.1	15.6
results of test	Test (g)	13.4	14.2	17.1
with analysis	Relative error (%)	4.7	8.4	9.6

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Applied Optics