• Chinese Optics Letters
  • Vol. 17, Issue 8, 080601 (2019)
Shun Liu1, Ping Lu1、*, Enci Chen1, Wenjun Ni1, Deming Liu1, Jiangshan Zhang2, and Zhenggang Lian3
Author Affiliations
  • 1School of Optical and Electronic Information, National Engineering Laboratory for Next Generation Internet Access System, Huazhong University of Science and Technology, Wuhan 430074, China
  • 2Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
  • 3Yangtze Optics Electronics Co., Wuhan 430074, China
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    DOI: 10.3788/COL201917.080601 Cite this Article Set citation alerts
    Shun Liu, Ping Lu, Enci Chen, Wenjun Ni, Deming Liu, Jiangshan Zhang, Zhenggang Lian. Vernier effect of fiber interferometer based on cascaded PANDA polarization maintaining fiber[J]. Chinese Optics Letters, 2019, 17(8): 080601 Copy Citation Text show less

    Abstract

    This Letter shows the Vernier effect based on two segments of PANDA polarization maintaining fiber (PMF), whose lengths are 28 and 23 cm, respectively. The two PMFs are spliced together, and the angle between the fast axes is set to 45°. This cascaded PMF is inserted in a Sagnac loop to form an interferometer that can generate the Vernier effect. The spectrum consists of finesse fringe and envelope and realizes simultaneous measurement of strain and temperature. The envelope can provide strain and temperature sensitivities of 58.0 pm/με and 1.05 nm/°C. The finesse fringe provides sensitivities of 5.9 pm/με and 1.36 nm/°C.
    (EoutxEouty)=[R(β)MCWR(α)R(α)MCCWR(β)](EinxEiny).(1)

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    R(x)=(cosxsinxsinxcosx).(2)

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    MCW=(ejφ2200ejφ22)(cosθsinθsinθcosθ)(ejφ1200ejφ12),(3)

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    MCCW=(ejφ1200ejφ12)(cosθsinθsinθcosθ)(ejφ2200ejφ22),(4)

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    T=|Eoutx|2+|Eouty|2|Einx|2+|Einy|2={sin(α+β)cosθcos[πB(L1+L2)λ]+cos(α+β)sinθcos[πB(L1L2)λ]}2.(5)

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    Δλε=λΔLεB+LΔBεBL=Kε·Δε,(6)

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    ΔλT=λΔLTB+LΔBTBL=KT·ΔT,(7)

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    Δλε,E=λΔL0B+L0ΔBεB(L1L2)=Kε,E·Δε,(8)

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    Kε,E=L0L1L2Kε.(9)

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    M=L0L1L2.(10)

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    Kε,F=λΔL0B+L0ΔBεΔεB(L1+L2)=L0L1+L2Kε,(11)

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    KT,E=λΔ(L1L2)B+(L1L2)ΔBTΔTB(L1L2)=KT,(12)

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    KT,F=λΔ(L1+L2)B+(L1+L2)ΔBTΔTB(L1+L2)=KT.(13)

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    [ΔλEΔλF]=[Kε,EKT,EKε,FKT,F][ΔεΔT],(14)

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    [ΔεΔT]=[Kε,EKT,EKε,FKT,F]1[ΔλEΔλF].(15)

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    Shun Liu, Ping Lu, Enci Chen, Wenjun Ni, Deming Liu, Jiangshan Zhang, Zhenggang Lian. Vernier effect of fiber interferometer based on cascaded PANDA polarization maintaining fiber[J]. Chinese Optics Letters, 2019, 17(8): 080601
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