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    Journals >Chinese Optics Letters >Volume 13 >Issue 10 >Page 100601 > Article
    • Chinese Optics Letters
    • Vol. 13, Issue 10, 100601 (2015)
    FFPI-FBG hybrid sensor to measure the thermal expansion and thermo-optical coefficient of a silica-based fiber at cryogenic temperatures
    Litong Li1,2,*, Dongsheng Zhang1, Xiaoyan Wen3, and Sisi Peng4
    Author Affiliations
  • 1National Engineering Laboratory for Fiber Optic Sensing Technology, Wuhan University of Technology, Wuhan 430070, China
  • 2Key Laboratory of Fiber Optic Sensing Technology and Information Processing, Ministry of Education, Wuhan University of Technology, Wuhan 430070, China
  • 3School of Science, Wuhan University of Technology, Wuhan 430070, China
  • 4Wuhan Institute of Marine Electric Propulsion, CSIC, Wuhan 430070, China
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    DOI: 10.3788/COL201513.100601 Cite this Article Set citation alerts
    Litong Li, Dongsheng Zhang, Xiaoyan Wen, Sisi Peng, "FFPI-FBG hybrid sensor to measure the thermal expansion and thermo-optical coefficient of a silica-based fiber at cryogenic temperatures," Chin. Opt. Lett. 13, 100601 (2015) Copy Citation Text show less

    Abstract

    In this Letter, a sensor consisting of a fiber Bragg grating (FBG) and a fiber Fabry–Perot interferometer (FFPI) sensor is developed to measure the coefficient of thermal expansion (CTE) and the thermo-optical coefficient (TOC) of a silica-based optical fiber at cryogenic temperatures. The FFPI is fabricated by welding together two acid-etched fibers. The temperature performance of the FFPI-FBG hybrid sensor is studied in the temperature range of 30–273 K. The CTE and TOC of the optical fiber at cryogenic temperatures are derived analytically and verified by experiments.
    ΔλBλB=(ξ+α)×ΔT,(1)

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    ΔL=ξLΔT,(2)

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    L=λ1λ22(λ2−λ1),(3)

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    α=ΔλBλBΔT−ξ.(4)

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    ΔL=−λ222(λ2−λ1)2Δλ1,(7)

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    ΔλB=−1015.6−0.2622T+0.0145T2,(8)

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    ΔL=0.008−(3.97×10−5)T−(2.03×10−7)T2+(9.9×10−10)T3.(9)

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    ΔλB=−1010.76−0.0277T+0.0136T2,(10)

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    ΔL=0.008−(5.78×10−5)T−(5.09×10−8)T2+(5.49×10−10)T3,(11)

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    ξ=(0.4×10−10)T2−(0.625×10−8)T−(0.611×10−6).(12)

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    ξ=(0.253×10−10)T2−(0.156×10−8)T−(0.89×10−6).(13)

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    ξ=(0.3265×10−10)T2−(0.39×10−8)T−(0.75×10−6).(14)

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    α+ξ=ΔλBλBΔT=(2.24×10−8)T−(2.02×10−7).(15)

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    α+ξ=ΔλBλBΔT=(2.1×10−8)T−(2.14×10−8).(16)

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    α=(0.3265×10−10)T2+(1.7795×10−8)T−(8.615×10−7).(17)

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    Litong Li, Dongsheng Zhang, Xiaoyan Wen, Sisi Peng, "FFPI-FBG hybrid sensor to measure the thermal expansion and thermo-optical coefficient of a silica-based fiber at cryogenic temperatures," Chin. Opt. Lett. 13, 100601 (2015)
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