• Chinese Optics Letters
  • Vol. 16, Issue 1, 010605 (2018)
Xi Zhu1、2, Bo Wang1、*, Yichen Guo1, Yibo Yuan2, Romeo Gamatham3, Bruce Wallace3, Keith Grainge4, and Lijun Wang1、2
Author Affiliations
  • 1State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instrument, Tsinghua University, Beijing 100084, China
  • 2Department of Physics, Tsinghua University, Beijing 100084, China
  • 3SKA South Africa, Blend on Baker, Rosebank 2196, Johannesburg, South Africa
  • 4Jodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics & Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UK
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    DOI: 10.3788/COL201816.010605 Cite this Article Set citation alerts
    Xi Zhu, Bo Wang, Yichen Guo, Yibo Yuan, Romeo Gamatham, Bruce Wallace, Keith Grainge, Lijun Wang. Robust fiber-based frequency synchronization system immune to strong temperature fluctuation[J]. Chinese Optics Letters, 2018, 16(1): 010605 Copy Citation Text show less

    Abstract

    In order to make the fiber-based frequency synchronization system suitable for the use of large-scale scientific and engineering projects in which the ambient temperature of the fiber links change dramatically, we design a non-harmonic frequency dissemination system immune to strong temperature fluctuation. After the lab tests, in which the ambient temperature of the fiber fluctuates 40°C/day and 20°C/h, respectively, the relative frequency stabilities of this system reaches 4.0 × 10 14/s and 3.0 × 10 16/104 s. It is demonstrated that the proposed non-harmonic scheme shows a strong robustness to complicated working environment with strong temperature fluctuation.
    V0=cos(ω0t+ϕ0).(1)

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    V1=cos(ω1t+ϕ1),(2)

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    V2=cos(ω0t+ϕ0+ϕp),(3)

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    V3=cos(ω1t+ϕ1+ϕp).(4)

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    V4=cos[(ω0ω1)t+ϕ0+ϕpϕ1ϕp].(5)

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    V5=cos[(ω02ω1)t+ϕ0+ϕp2ϕ1ϕp].(6)

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    V5=cos(ϕ02ϕ1).(7)

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    V2=cos(ω0t+ϕ0+ϕp)+a1cos(2ω0t+2ϕ0+2ϕp)+a2cos(3ω0t+3ϕ0+3ϕp)+,(8)

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    V3=cos(ω1t+ϕ1+ϕp)+b1cos(2ω1t+2ϕ1+2ϕp)+b2cos(3ω1t+3ϕ1+3ϕp)+,(9)

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    V4=cos[(ω0ω1)t+ϕ0+ϕpϕ1ϕp]+ξcos(ω1t+ϕ1+ϕp)+ζcos[(3ω1ω0)t+3ϕ1+3ϕpϕ0ϕp]+,(10)

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    V5=cos(ϕ02ϕ1)+ξcos(ϕp)+ζcos(2ϕ1+2ϕpϕ0).(11)

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    dϕpdT=15.2πrad/°C.(12)

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    dϕpdt=dϕpdT·dTdt=15.2π·11080=0.014πrad/s.(13)

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    V1=cos[(ω1+130Hz)t+ϕ1],(14)

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    V3=cos[(ω1+130Hz)t+ϕ1+ϕp].(15)

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    V4=cos[(ω0ω1130Hz)t+ϕ0+ϕpϕ1ϕp]+ξcos[(ω1+130Hz)t+ϕ1+ϕp]+ζcos[(3ω1ω0+390Hz)t+3ϕ1+3ϕpϕ0ϕp].(16)

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    V6=cos[(ω1130Hz)t+ϕ6],(17)

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    V5=cos(ϕ0+ϕp2ϕ1ϕp)+ξcos(260Hz×t+ϕp)+ζcos(520Hz×t+2ϕ1+3ϕpϕ0ϕp).(18)

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    V5=cos(ϕ02ϕ11.3×107ϕp).(19)

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    ϕ0=2ϕ1+1.3×107ϕp.(20)

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    Xi Zhu, Bo Wang, Yichen Guo, Yibo Yuan, Romeo Gamatham, Bruce Wallace, Keith Grainge, Lijun Wang. Robust fiber-based frequency synchronization system immune to strong temperature fluctuation[J]. Chinese Optics Letters, 2018, 16(1): 010605
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