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Acta Optica Sinica, Volume. 38, Issue 10, 1006003(2018)

Characteristics of Fabry-Perot Cavity Based on Dynamic Grating in Er-Doped Fiber and Fiber Bragg Grating

Yu Meng1,2、*, Xuemei Su2、*, and Yan Pang2
Author Affiliations
  • 1 College of Optical and Electronical Information, Changchun University of Science and Technology, Changchun, Jilin 130012, China
  • 2 College of Physics, Jilin University, Changchun, Jilin 130012, China
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    Figures & Tables(10)
    Structure diagram of F-P cavity based on DBG and FBG

    Fig. 1. Structure diagram of F-P cavity based on DBG and FBG

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    Energy schematic of a two-level system of DBG

    Fig. 2. Energy schematic of a two-level system of DBG

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    Reflection spectra of DBG varying with different lengths of EDF and Rabi frequencies of the probe field.a1: Ωp=1.0×105Γ21,L1=0.2 m; b1: Ωp=1.5×105Γ21, L1=0.2 m; c1: Ωp=2.0×105Γ21, L1=0.2 m; d1: Ωp=2.5×105Γ21, L1=0.2 m; a2: Ωp=1.0×105Γ21, L1=0.35 m; b2: Ωp=1.5×105Γ21, L1=0.35 m; c2: Ωp=2.0×105Γ21, L1=0.35 m; d2: Ωp=2.5×105Γ21, L1=0.35 m; a3: Ωp=1.5×105Γ21, L1=0.5 m; b3: Ωp=2.0×105Γ21, L1=0.5 m; c3: Ωp=2.5×105Γ21, L1=0.5 m; d3: Ωp=3.0×105Γ21, L1=0.5 m

    Fig. 3. Reflection spectra of DBG varying with different lengths of EDF and Rabi frequencies of the probe field.a1: Ωp=1.0×105Γ21,L1=0.2 m; b1: Ωp=1.5×105Γ21, L1=0.2 m; c1: Ωp=2.0×105Γ21, L1=0.2 m; d1: Ωp=2.5×105Γ21, L1=0.2 m; a2: Ωp=1.0×105Γ21, L1=0.35 m; b2: Ωp=1.5×105Γ21, L1=0.35 m; c2: Ωp=2.0×105Γ21, L1=0.35 m; d2: Ωp=2.5×105Γ21, L1=0.35 m; a3: Ωp=1.5×105Γ21, L1=0.5 m; b3: Ωp=2.0×105Γ21, L1=0.5 m; c3: Ωp=2.5×105Γ21, L1=0.5 m; d3: Ωp=3.0×105Γ21, L1=0.5 m

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    Experimental setup used to measured DBG

    Fig. 4. Experimental setup used to measured DBG

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    Measured signals of DBG with different lengths of EDF and input powers

    Fig. 5. Measured signals of DBG with different lengths of EDF and input powers

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    Reflection spectra of the F-P cavity varying with different Rabi frequencies of the probe field.a: Ωp=0.5×107; b: Ωp=1.0×107; c: Ωp=2.0×107; d: Ωp=2.5×107

    Fig. 6. Reflection spectra of the F-P cavity varying with different Rabi frequencies of the probe field.a: Ωp=0.5×107; b: Ωp=1.0×107; c: Ωp=2.0×107; d: Ωp=2.5×107

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    Reflection spectra of the F-P cavity varying with different lengths of EDF. a: L1=0.2 m; b: L1=0.3 m; c: L1=0.4 m; d: L1=0.5 m

    Fig. 7. Reflection spectra of the F-P cavity varying with different lengths of EDF. a: L1=0.2 m; b: L1=0.3 m; c: L1=0.4 m; d: L1=0.5 m

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    Reflection spectra of the F-P cavity varying with different refractive index modulation depths of Bragg grating. a: δn=0.305×10-4, R=0.3; b: δn=0.435×10-4, R=0.5; c: δn=0.598×10-4, R=0.7; d: δn=0.898×10-4, R=0.9

    Fig. 8. Reflection spectra of the F-P cavity varying with different refractive index modulation depths of Bragg grating. a: δn=0.305×10-4, R=0.3; b: δn=0.435×10-4, R=0.5; c: δn=0.598×10-4, R=0.7; d: δn=0.898×10-4, R=0.9

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    Reflection spectra of the F-P cavity varying with different cavity lengths. (a) L=0.1 m; (b) L=0.2 m; (c) L=0.3 m ;(d) L=0.4 m

    Fig. 9. Reflection spectra of the F-P cavity varying with different cavity lengths. (a) L=0.1 m; (b) L=0.2 m; (c) L=0.3 m ;(d) L=0.4 m

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    • Table 1. Parameters used for DBG and F-P cavity

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      Table 1. Parameters used for DBG and F-P cavity

      ParameterNumerical value
      Lifetime of metastable level τ21 /ms10
      Inhomogeneous-broadening linewidth for transition |2>→|1> at room temperature Δω /(1012 Hz)9.26[28]
      Resonance frequency for transition |2>→|1> ω21 /(1014 rad·s-1)12.1548
      Erbium ion density N0 /(1025 m-3)6.6
      Dipole moment matrix element for the transition |2>→|1> μ21 /(10-32 C·m)1.36
      Fiber core refractive index n01.452
      Fiber mode field diameter 2w0 /μm6.5
      Length of the EDF L1 /m0.35
      Length of the FBG L2 /m0.01
      Cavity length L /m0.2
      Bragg wavelength of FBG λB /μm1.55
      Refractive index modulation depth of the FBG δn /10-55.1
      Fringe visibility of Bragg grating ν1
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    Yu Meng, Xuemei Su, Yan Pang. Characteristics of Fabry-Perot Cavity Based on Dynamic Grating in Er-Doped Fiber and Fiber Bragg Grating[J]. Acta Optica Sinica, 2018, 38(10): 1006003

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    Paper Information

    Category: Fiber Optics and Optical Communications

    Received: Mar. 21, 2018

    Accepted: May. 8, 2018

    Published Online: May. 9, 2019

    The Author Email:

    DOI:10.3788/AOS201838.1006003

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology