• Acta Photonica Sinica
  • Vol. 54, Issue 2, 0254107 (2025)
Yi ZHANG, Mingzhe LI, Tong WANG, Yulin SHEN..., Jie YANG and Ming XIN*|Show fewer author(s)
Author Affiliations
  • School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China
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    DOI: 10.3788/gzxb20255402.0254107 Cite this Article
    Yi ZHANG, Mingzhe LI, Tong WANG, Yulin SHEN, Jie YANG, Ming XIN. The Arm Locking Controller Design for Space-based Gravitational Wave Observatories[J]. Acta Photonica Sinica, 2025, 54(2): 0254107 Copy Citation Text show less
    Principle of arm locking (S: spacecraft; PM: phase meter)
    Fig. 1. Principle of arm locking (S: spacecraft; PM: phase meter)
    The layered architecture for the design of the arm locking system
    Fig. 2. The layered architecture for the design of the arm locking system
    Noise-coupled single arm locking system
    Fig. 3. Noise-coupled single arm locking system
    The amplitude responses in the noise-coupled single arm locking system
    Fig. 4. The amplitude responses in the noise-coupled single arm locking system
    Simulation diagram of noise-coupled single arm locking system
    Fig. 5. Simulation diagram of noise-coupled single arm locking system
    Equivalent phase noise spectral density of different noises in the noise-coupled single arm locking system
    Fig. 6. Equivalent phase noise spectral density of different noises in the noise-coupled single arm locking system
    Noise-coupled dual arm locking system
    Fig. 7. Noise-coupled dual arm locking system
    The amplitude responses in the noise-coupled dual arm locking system
    Fig. 8. The amplitude responses in the noise-coupled dual arm locking system
    Simulation diagram of noise-coupled dual arm locking system
    Fig. 9. Simulation diagram of noise-coupled dual arm locking system
    Equivalent phase noise spectral density of different noises in the noise-coupled dual arm locking system
    Fig. 10. Equivalent phase noise spectral density of different noises in the noise-coupled dual arm locking system
    Noise-coupled common arm locking system
    Fig. 11. Noise-coupled common arm locking system
    The amplitude responses in the noise-coupled common arm locking system
    Fig. 12. The amplitude responses in the noise-coupled common arm locking system
    Simulation diagram of noise-coupled common arm locking system
    Fig. 13. Simulation diagram of noise-coupled common arm locking system
    Equivalent phase noise spectral density of different noises in the noise-coupled common arm locking system
    Fig. 14. Equivalent phase noise spectral density of different noises in the noise-coupled common arm locking system
    NoisePhase noise spectral density
    Laser frequency noiseϕf(f)=30Hzf×1+3mHzf4[rad/Hz1/2]
    Clock noiseϕclock(f)=2.4×10-12f3/2×2π×20MHz[rad/Hz1/2]
    Shot noiseϕshot(f)=1.065×10-5[rad/Hz1/2]
    Readout noiseϕread(f)=2π×2×10-121064×10-9×1+2.8mHzf4[rad/Hz1/2]
    Table 1. Noise parameters of simulation
    Yi ZHANG, Mingzhe LI, Tong WANG, Yulin SHEN, Jie YANG, Ming XIN. The Arm Locking Controller Design for Space-based Gravitational Wave Observatories[J]. Acta Photonica Sinica, 2025, 54(2): 0254107
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