Decoupling study and noise analysis of multi-degree-of-freedom deformation measurement method for space gravitational wave detection telescope

Luo Jian; Song Jie; Fang Sijun; Kong Fanle; Yan Yong

doi:10.12086/oee.2024.230211

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Luo J, Song J, Fang S J, et al. Decoupling study and noise analysis of multi-degree-of-freedom deformation measurement method for space gravitational wave detection telescope[J]. Opto-Electron Eng, 2024, 51(2): 230211. doi: 10.12086/oee.2024.230211

Citation:

Luo J, Song J, Fang S J, et al. Decoupling study and noise analysis of multi-degree-of-freedom deformation measurement method for space gravitational wave detection telescope[J]. Opto-Electron Eng, 2024, 51(2): 230211. doi: 10.12086/oee.2024.230211

Decoupling study and noise analysis of multi-degree-of-freedom deformation measurement method for space gravitational wave detection telescope

MOE Key Laboratory of TianQin Mission, TianQin Research Center for Gravitational Physics & School of Physics and Astronomy, Frontiers Science Center for TianQin, Gravitational Wave Research Center of CNSA, Sun Yat-sen University (Zhuhai Campus), Zhuhai, Guangdong 519082, China

Fund Project: Project supported by National Key Research and Development Program of China (2021YFC2202202)

More Information

^*Corresponding author: yanyong5@mail.sysu.edu.cn

Received Date 30 August 2023

Revised Date 07 February 2024

Accepted Date 07 February 2024

Published Date 29 February 2024

Abstract

Abstract

The space gravitational wave telescope is a key payload of gravitational wave detection satellites, responsible for both beam expansion and compression. Optical path stability is a crucial indicator for the telescope, closely related to its structural stability. To meet the stringent requirements for ultra-high optical path stability and structural stability in gravitational wave detection missions, it is necessary to investigate the measurement of structural deformations in the telescope. This paper presents a study on multi-degree of freedom deformation measurement for space gravitational wave telescopes, focusing on addressing the coupling issues in multi-degree of freedom measurement and conducting a detailed analysis of error sources. During the development phase of the space gravitational wave telescope, this measurement method is expected to meet the demands for multi-degree of freedom deformation measurement, providing data feedback on multi-degree of freedom deformations for telescope design and offering guidance for optical path stability research.
- the space gravitational wave detection telescope /
- deformation measurement /
- multi-degree-of-freedom /
- decoupling study /
- noise analysis

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References

[1]	Abbott B P, Abbott R, Abbott T D, et al. Observation of gravitational waves from a binary black hole merger[J]. Phys Rev Lett, 2016, 116(6): 061102. doi: 10.1103/PhysRevLett.116.061102 CrossRef Google Scholar
[2]	Danzmann K, The LISA Study Team. LISA: laser interferometer space antenna for gravitational wave measurements[J]. Class Quantum Grav, 1996, 13(11A): A247. doi: 10.1088/0264-9381/13/11A/033 CrossRef Google Scholar
[3]	Luo J, Chen L S, Duan H Z, et al. TianQin: a space-borne gravitational wave detector[J]. Class Quantum Grav, 2016, 33(3): 035010. doi: 10.1088/0264-9381/33/3/035010 CrossRef Google Scholar
[4]	Luo J, Bai Y Z, Cai L, et al. The first round result from the TianQin-1 satellite[J]. Class Quantum Grav, 37(18): 185013. https://doi.org/10.1088/1361-6382/aba66a. Google Scholar
[5]	Livas J, Sankar S. Optical telescope design study results[J]. J Phys Conf Ser, 2015, 610: 012029. doi: 10.1088/1742-6596/610/1/012029 CrossRef Google Scholar
[6]	王小勇,白绍竣,张倩,等. 空间引力波探测望远镜研究进展[J]. 光电工程, 2023, 50(11): 230219. doi: 10.12086/oee.2023.230219 CrossRef Google Scholar Wang X Y, Bai S J, Zhang Q, et al. Research progress of telescopes for space-based gravitational wave missions[J]. Opto-Electron Eng, 2023, 50(11): 230219. doi: 10.12086/oee.2023.230219 CrossRef Google Scholar
[7]	J. Sanjuán; A. Preston; D. Korytov, et al. Carbon fiber reinforced polymer dimensional stability investigations for use on the laser interferometer space antenna mission telescope[J]. Rev Sci Instrum, 2011, 82(12): 124501. Google Scholar
[8]	Desnoyers N, Goyette P, Leduc B, et al. Dimensional stability performance of a CFRP sandwich optical bench for microsatellite payload[J]. Proc SPIE, 2017, 10372: 103720G. doi: 10.1117/12.2274311 CrossRef Google Scholar
[9]	范纹彤, 赵宏超, 范磊, 等. 空间引力波探测望远镜系统技术初步分析[J]. 中山大学学报(自然科学版), 2021, 60(1-2): 178−185. doi: 10.13471/j.cnki.acta.snus.2020.11.02.2020B111 CrossRef Google Scholar Fan W T, Zhao H C, Fan L, et al. Preliminary analysis of space gravitational wave detection telescope system technology[J]. Acta Sci Nat Univ Sunyatseni, 2021, 60(1-2): 178−185. doi: 10.13471/j.cnki.acta.snus.2020.11.02.2020B111 CrossRef Google Scholar
[10]	Machado J C, Heinrich T, Schuldt T, et al. Picometer resolution interferometric characterization of the dimensional stability of zero CTE CFRP[J]. Proc SPIE, 2008, 7018: 70183D. doi: 10.1117/12.789495 CrossRef Google Scholar
[11]	Spannagel R, Hamann I, Sanjuan J, et al. Dilatometer setup for low coefficient of thermal expansion materials measurements in the 140 K-250 K temperature range[J]. Rev Sci Instrum, 2016, 87(10): 103112. doi: 10.1063/1.4965813. CrossRef Google Scholar
[12]	Spannagel R, Gohlke M, Schuldt T, et al. CTE measurement setup with 10 ppb/K sensitivity for characterizing lightweight and highly stable materials for space applications[J]. Proc SPIE, 2012, 8450: 84500Q. doi: 10.1117/12.926061 CrossRef Google Scholar
[13]	Sanjuán J, Korytov D, Mueller G, et al. Note: silicon carbide telescope dimensional stability for space-based gravitational wave detectors[J]. Rev Sci Instrum, 2012, 83(11): 116107. doi: 10.1063/1.4767247 CrossRef Google Scholar
[14]	Verlaan A L, Hogenhuis H, Pijnenburg J, et al. LISA telescope assembly optical stability characterization for ESA[J]. Proc SPIE, 2012, 8450: 845003. doi: 10.1117/12.925112 CrossRef Google Scholar
[15]	Sang B L, Deng X Q, Peng B, et al. Dimensional stability ground test and in-orbit prediction of SiC telescope frame for space gravitational wave detection[J]. IEEE Access, 2022, 10: 21041−21047. doi: 10.1109/ACCESS.2022.3152490 CrossRef Google Scholar
[16]	李博宏, 罗健, 丘敏艳, 等. 引力波探测望远镜超低热变形桁架支撑结构设计技术[J]. 光电工程, 2023, 50(11): 230155. doi: 10.12086/oee.2023.230155 CrossRef Google Scholar Li B H, Luo J, Qiu M Y, et al. Design technology of the truss support structure of the ultra-low thermal deformation gravitational wave detection telescope[J]. Opto-Electron Eng, 2023, 50(11): 230155. doi: 10.12086/oee.2023.230155 CrossRef Google Scholar
[17]	Yu X Z. Multi-degree of freedom optical metrology techniques[D]. Rochester: University of Rochester, 2017. Google Scholar
[18]	Klop W A, Verlaan A L. Dimensional stability testing in thermal vacuum of the CHEOPS optical telescope assembly[J]. Proc SPIE, 2016, 9904: 990437. doi: 10.1117/12.2232899 CrossRef Google Scholar
[19]	颜浩. 基于激光干涉的高精度多自由度光学传感研究[D]. 武汉: 华中科技大学, 2019. Google Scholar Yan H. Study on ultra-precision multi-degree-of-freedom optical measurement base on laser interferometry[D]. Wuhan: Huazhong University of Science and Technology, 2019. Google Scholar
[20]	余建平. 面向精密定位的平面电容式多自由度位移测量传感器关键技术研究[D]. 杭州: 浙江大学, 2013. Google Scholar Yu J P. Study on planar capacitive sensors for multiple-dimensional precision displacement measurement[D]. Hangzhou: Zhejiang University, 2013. Google Scholar
[21]	孙闯. 面向精密工程的多自由度测量方法研究[D]. 长春: 中国科学院大学(中国科学院长春光学精密机械与物理研究所), 2021. Google Scholar Sun C. Research on multi-degree-of-freedom measurement method for precision engineering[D]. Changchun: Changchun Institute of Optics, Fine Mechanics and Physics Chinese Academy of Sciences, 2021. Google Scholar
[22]	赵凯, 范纹彤, 海宏文, 等. 望远镜光程稳定性测量方案设计及噪声理论分析[J]. 光电工程, 2023, 50(11): 230158. doi: 10.12086/oee.2023.230158 CrossRef Google Scholar Zhao K, Fan W T, Hai H W, et al. Design of optical path stability measurement scheme and theoretical analysis of noise in telescope[J]. Opto-Electron Eng, 2023, 50(11): 230158. doi: 10.12086/oee.2023.230158 CrossRef Google Scholar

Overview

Overview

The space gravitational wave detection telescope is one of the core payloads of the gravitational wave detection satellite, simultaneously expanding and contracting the transmitted beam. Optical path stability is one of the core indices for the telescope, closely related to its structural stability. To meet the ultra-high path stability and structural stability requirements posed by the gravitational wave detection mission, it is essential to study the structural deformation measurement of the telescope. Currently, there are still several shortcomings in the research of multi-degree-of-freedom deformation measurement methods for gravitational wave detection telescopes, such as inaccurate selection of measurement points, inability to decouple multi-degree-of-freedom coupling, and unclear identification of error sources in multi-degree-of-freedom measurement. This paper deeply investigates the high-precision measurement of structural deformation of space-borne telescopes designed for space gravitational wave detection. It preliminarily establishes a framework and method system for measuring the structural deformation of space-borne telescopes, theoretically describing the measurement principle of the method. The feasibility of this method applied to space gravitational wave detection is verified through simulation analysis and error decomposition. The paper focuses on resolving the issue of decoupling multiple degrees of freedom, establishing a mathematical model using analytical methods, and conducting preliminary validation using Zemax. Finally, noise analysis of the measurement system is carried out, with experimental testing of the main noise components in the measurement system, validating the correctness of the theoretical noise model proposed in this paper. The experimental results show that near 1 Hz, the displacement noise background of the single-link interferometer is 100 pm/Hz^1/2. At 1 mHz in the low-frequency range, the displacement noise background reaches 10 nm/Hz^1/2. The noise level of the measurement system below 1 mHz is mainly limited by environmental temperature noise, while above 10 mHz, it is primarily constrained by laser frequency noise, phase acquisition background noise, and vibration noise. During the development phase of the space gravitational wave detection telescope, the research on this measurement method is expected to fulfill the telescope's multi-degree-of-freedom deformation measurement needs. It also provides data feedback for telescope design and offers guidance for the study of the telescope's optical path stability.