• Chinese Optics Letters
  • Vol. 18, Issue 8, 081201 (2020)
Wenjie Chen1、2、3、4, Junfeng Jiang1、2、3、*, Kun Liu1、2、3, Shuang Wang1、2、3, Zhe Ma1、2、3, Guanhua Liang1、2、3, Zhenyang Ding1、2、3, Tianhua Xu1、2、3, and Tiegen Liu1、2、3
Author Affiliations
  • 1School of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China
  • 2Key Laboratory of Opto-electronics Information Technology (Tianjin University), Ministry of Education, Tianjin 300072, China
  • 3Tianjin Optical Fiber Sensing Engineering Center, Institute of Optical Fiber Sensing of Tianjin University, Tianjin 300072, China
  • 4Science and Technology on Communication Networks Laboratory, Shijiazhuang 050002, China
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    DOI: 10.3788/COL202018.081201 Cite this Article Set citation alerts
    Wenjie Chen, Junfeng Jiang, Kun Liu, Shuang Wang, Zhe Ma, Guanhua Liang, Zhenyang Ding, Tianhua Xu, Tiegen Liu. Self-copy-shift-based differential phase extracting method for fiber distributed acoustic sensing[J]. Chinese Optics Letters, 2020, 18(8): 081201 Copy Citation Text show less

    Abstract

    A differential phase extracting method based on self-copy-shift for distributed acoustic sensing is proposed. Heterodyne and optical hybrids are used to realize high signal-to-noise ratio in-phase and quadrature-phase (IQ) signal measurement. The measured signals are self-copied and shifted for certain data points, and then they are digitally mixed with the original signals to construct the differential phase. The four produced signals are then combined to carry out IQ demodulation. An experiment with strain having an amplitude modulation waveform is carried out. The results showed that waveform information can be recovered well, and the signal-to-noise ratio achieves 32.8 dB.
    V1(t)=VDrect(tW)cos(2πfst),(1)

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    V2(t)=VDrect(tW)sin(2πfst),(2)

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    I=A(t)sin[2πfst+ϕ(Z)ϕLoc],(3)

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    Q=A(t)cos[2πfst+ϕ(Z)ϕLoc],(4)

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    IShift=A(tW0)sin[2πfs(tW0)+ϕ(ZL)ϕLoc],(5)

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    QShift=A(tW0)cos[2πfs(tW0)+ϕ(ZL)ϕLoc],(6)

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    S1=A(t)A(tW0)sin(φ1)sin(φ2),(7)

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    S2=A(t)A(tW0)cos(φ1)sin(φ2),(8)

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    S3=A(t)A(tW0)sin(φ1)cos(φ2),(9)

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    S4=A(t)A(tW0)cos(φ1)cos(φ2),(10)

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    SI=A(t)A(tW0)sin[Φ(t)+ψ0],(11)

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    SQ=A(t)A(tW0)cos[Φ(t)+ψ0],(12)

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    ΔΦ(Z)=4πLλ{nn32[p12μ(p11+p12)]}·ε,(13)

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    Wenjie Chen, Junfeng Jiang, Kun Liu, Shuang Wang, Zhe Ma, Guanhua Liang, Zhenyang Ding, Tianhua Xu, Tiegen Liu. Self-copy-shift-based differential phase extracting method for fiber distributed acoustic sensing[J]. Chinese Optics Letters, 2020, 18(8): 081201
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