• Acta Physica Sinica
  • Vol. 69, Issue 18, 184217-1 (2020)
Jing Tian*, Mei-Jiang Hou, Yang Jiang, Hong-Xu Zhang, Guang-Fu Bai, and Hao Feng
Author Affiliations
  • College of Physics, Guizhou University, Guiyang 550025, China
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    DOI: 10.7498/aps.69.20200385 Cite this Article
    Jing Tian, Mei-Jiang Hou, Yang Jiang, Hong-Xu Zhang, Guang-Fu Bai, Hao Feng. High sensitivity fiber displacement sensor based compound ring laser cavity with linear variation of beat frequency signal[J]. Acta Physica Sinica, 2020, 69(18): 184217-1 Copy Citation Text show less

    Abstract

    A novel fiber sensor based compound ring laser cavity with linear variation of frequency is proposed and demonstrated experimentally. The compound ring laser cavity is comprised of a ring cavity and a straight cavity. This system can generate the beat frequency spectrum by employing an erbium doped fiber amplifier, a fiber Bragg grating is used as a sensor head and the straight cavity reflector, a π phase shifted fiber Bragg grating serves as a microwave photonic passband filter. The principle of the proposed sensor is theoretically analyzed, showing that as the displacement increases the beat frequency decreases, and there exists a linear relationship between displacement change and beat frequency shift. In experiment, it is shown that the sensor has a high sensitivity of about 86.19 kHz/mm and can achieve a good linear response (R2 = 0.9973), and that the minimum monitored displacement is about 10 μm. The measurement results demonstrate that the sensor is accurate, sensitive, and the proposed sensor system has a compact and simple structure, which makes it convenient for more applications in future.
    $\begin{split} & I\left( t \right) ={\left| {A\left( t \right)} \right|^2} \\ =\;& \frac{1}{2} \sum\limits_{i = 1}^\infty {\sum\limits_{j = 1}^\infty {{\alpha _i}} } {\alpha _j}\left\{ {\cos \left[ {2\pi \left( {{\nu _i} - {\nu _j}} \right)t \!+\! \left( {{\varphi _i} - {\varphi _j}} \right)} \right]} \right\} \\ & ~~~~ ( {i \ne j}),\\[-12pt]\end{split}$ (1)

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    ${\nu _N} = {\nu _i} - {\nu _j} = \dfrac{{(j - i)c}}{{nL}} = \dfrac{{Nc}}{{nL}}.$(2)

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    $\Delta \nu = c/nL.$(3)

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    $\Delta {\nu _N} = - \frac{{Nc}}{{nL}}\left( {\frac{{\Delta L}}{L} + \frac{{\Delta n}}{n}} \right) = - {\nu _N}\frac{1}{L}(1 - {P_{\rm{e}}})\Delta L, $(4)

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    Jing Tian, Mei-Jiang Hou, Yang Jiang, Hong-Xu Zhang, Guang-Fu Bai, Hao Feng. High sensitivity fiber displacement sensor based compound ring laser cavity with linear variation of beat frequency signal[J]. Acta Physica Sinica, 2020, 69(18): 184217-1
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