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Zero-Offset Analysis on Differential Wavefront Sensing Technique in Gravitational Wave Detection Missions

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Abstract

Benefiting from ultra-high angular resolution, differential wavefront sensing (DWS) technique is widely used in gravitational wave detection missions for suppressing the laser pointing jitter as well as sensing jitter of the test mass. However, the zero-offset property of the DWS which leads to absolute angular measurement error is rarely mentioned in previous researches. In this paper, we describe the mechanisms causing the DWS zero-offset with an analytical model as well as numerical method. With the analytical results, we analyze the static pointing error of the gravitational wave detection satellite induced by the DWS. As the error is far larger than the requirement of 10 nrad magnitude, a zero-offset reduction scheme is proposed. We also construct an experiment system for verifying the theoretical results. The experimental results show that the DWS zero-offset can be effectively suppressed with the proposed scheme.

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Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

The authors would like to thank the National Key R &D Program of China (2020YFC2200104), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Project No. XDA1502110102, No. XDA1502110103) for the financial support.

Funding

This study was supported in part by grants from The National Key R &D Program of China (2020YFC2200104), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Project No. XDA1502110102, No. XDA1502110103).

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Author notes

  1. Ruihong Gao and Yikun Wang have contributed equally.

Authors and Affiliations

  1. Center for Gravitational Wave Experiment, National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China

    Ruihong Gao, Heshan Liu & Ziren Luo

  2. School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou, 310024, China

    Gang Jin

  3. University of Chinese Academy of Sciences, Beijing, 100049, China

    Jianjun Jia

  4. Key Laboratory of Gravitational Wave Precision Measurement of Zhejiang Province, Hangzhou Institute for Advanced Study, UCAS, Hangzhou, 310042, China

    Yikun Wang, Zhao Cui & Jianjun Jia

  5. School of Physics and Optoelectronic Engineering, Hangzhou Institute for Advanced Study, UCAS, Hangzhou, 310024, China

    Yikun Wang, Zhao Cui & Jianjun Jia

  6. Key Laboratory of Space Active Opto-Electronics Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai, 200083, China

    Yikun Wang & Jianjun Jia

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  1. Ruihong Gao
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Contributions

Ruihong Gao and Yikun Wang wrote the main manuscript text. Zhao Cui, Heshan Liu and Jianjun Jia provided technique support in manuscript preparation. Ziren Luo and Gang Jin provided the innovation of the manuscript. All authors reviewed the manuscript.

Corresponding authors

Correspondence to Ziren Luo or Gang Jin.

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Gao, R., Wang, Y., Cui, Z. et al. Zero-Offset Analysis on Differential Wavefront Sensing Technique in Gravitational Wave Detection Missions. Microgravity Sci. Technol. 35, 6 (2023). https://doi.org/10.1007/s12217-023-10036-1

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