• Acta Optica Sinica
  • Vol. 38, Issue 10, 1006003 (2018)
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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    DOI: 10.3788/AOS201838.1006003 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Structure diagram of F-P cavity based on DBG and FBG
    Fig. 1. Structure diagram of F-P cavity based on DBG and FBG
    Energy schematic of a two-level system of DBG
    Fig. 2. Energy schematic of a two-level system of DBG
    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
    Experimental setup used to measured DBG
    Fig. 4. Experimental setup used to measured DBG
    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
    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
    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
    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
    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
    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
    Table 1. Parameters used for DBG and F-P cavity
    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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