• Photonics Research
  • Vol. 2, Issue 1, 1 (2014)
Daisy Williams*, Xiaoyi Bao, and and Liang Chen
Author Affiliations
  • Fiber Optics Group, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada
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    DOI: 10.1364/PRJ.2.000001 Cite this Article Set citation alerts
    Daisy Williams, Xiaoyi Bao, and Liang Chen. Characterization of high nonlinearity in Brillouin amplification in optical fibers with applications in fiber sensing and photonic logic[J]. Photonics Research, 2014, 2(1): 1 Copy Citation Text show less
    (a) Schematic arrangement of SBS in a fiber of length L. Pump and probe configuration: A1(z)—continuous wave, A2(z)—probe wave. (b) Schematic distribution of the pump and probe intensities during SBS.
    Fig. 1. (a) Schematic arrangement of SBS in a fiber of length L. Pump and probe configuration: A1(z)—continuous wave, A2(z)—probe wave. (b) Schematic distribution of the pump and probe intensities during SBS.
    Relative error of linear approximation of 3D parametric model of output CW. L=1000 m, 0<Ppump<10 mW, 0<Pprobe<40 mW.
    Fig. 2. Relative error of linear approximation of 3D parametric model of output CW. L=1000m, 0<Ppump<10mW, 0<Pprobe<40mW.
    Relative error of quadratic approximation of 3D parametric model of output CW. L=1000 m, 0<Ppump<10 mW, 0<Pprobe<40 mW.
    Fig. 3. Relative error of quadratic approximation of 3D parametric model of output CW. L=1000m, 0<Ppump<10mW, 0<Pprobe<40mW.
    Linear approximation of 3D parametric model of output CW. Dimensionless output intensity of the CW versus dimensionless parameters β1 and β3. γe=0.902, v=5616 m/s, n=1.48, λ=1.319 μm, ρ0=2.21 g/cm3, ΓB=0.1 GHzL=1000 m, 0<Ppump<10 mW, 0<Pprobe<40 mW.
    Fig. 4. Linear approximation of 3D parametric model of output CW. Dimensionless output intensity of the CW versus dimensionless parameters β1 and β3. γe=0.902, v=5616m/s, n=1.48, λ=1.319μm, ρ0=2.21g/cm3, ΓB=0.1GHzL=1000m, 0<Ppump<10mW, 0<Pprobe<40mW.
    Linear approximation of 3D parametric model of output PW. Dimensionless output intensity of the PW versus dimensionless parameters β1 and β3. γe=0.902, v=5616 m/s, n=1.48, λ=1.319 μm, ρ0=2.21 g/cm3, ΓB=0.1 GHzL=1000 m, 0<Ppump<10 mW, 0<Pprobe<40 mW.
    Fig. 5. Linear approximation of 3D parametric model of output PW. Dimensionless output intensity of the PW versus dimensionless parameters β1 and β3. γe=0.902, v=5616m/s, n=1.48, λ=1.319μm, ρ0=2.21g/cm3, ΓB=0.1GHzL=1000m, 0<Ppump<10mW, 0<Pprobe<40mW.
    Analytical results, normalized intensity units. PPW (mW) = ○ 0.01; ▵ 1.8; × 6.6; ◻ 12.1; ▿ 17.1; + 22.4; * 27.2; --- 31.8; ─ 36.3. n=1.48, γe=0.902, λ=1319 nm, ρ0=2.21 g/cm3, v=5616 m/s, L=1000 m, ΓB=0.1 GHz, PCW=1.0 mW.
    Fig. 6. Analytical results, normalized intensity units. PPW (mW) = ○ 0.01; ▵ 1.8; × 6.6; ◻ 12.1; ▿ 17.1; + 22.4; * 27.2; --- 31.8; ─ 36.3. n=1.48, γe=0.902, λ=1319nm, ρ0=2.21g/cm3, v=5616m/s, L=1000m, ΓB=0.1GHz, PCW=1.0mW.
    Pump depletion as a function of probe spectral distortion. PPW (mW) = ○ 0.01; ▵ 1.8; × 6.6; ◻ 12.1; ▿ 17.1; + 22.4; * 27.2; ▪ 31.8; ♦ 36.3. n=1.48, γe=0.902, λ=1319 nm, ρ0=2.21 g/cm3, v=5616 m/s, L=1000 m, ΓB=0.1 GHz, PCW=1.0 mW.
    Fig. 7. Pump depletion as a function of probe spectral distortion. PPW (mW) = ○ 0.01; ▵ 1.8; × 6.6; ◻ 12.1; ▿ 17.1; + 22.4; * 27.2; ▪ 31.8; ♦ 36.3. n=1.48, γe=0.902, λ=1319nm, ρ0=2.21g/cm3, v=5616m/s, L=1000m, ΓB=0.1GHz, PCW=1.0mW.
    Shaded area depicts range of β1 and β3 values that yield curvatures within 20% of the Lorentz curvature for both CW and PW spectra.
    Fig. 8. Shaded area depicts range of β1 and β3 values that yield curvatures within 20% of the Lorentz curvature for both CW and PW spectra.
    Experimental setup.
    Fig. 9. Experimental setup.
    Experimental results, normalized intensity units. PPW (mW) = ○ 0.01; ▵ 1.8; × 6.6; ◻ 12.1; ▿ 17.1; + 22.4; * 27.2; --- 31.8; ─ 36.3. n=1.48, γe=0.902, λ=1319 nm, ρ0=2.21 g/cm3, v=5616 m/s, L=1000 m, ΓB=0.1 GHz, PCW=1.0 mW.
    Fig. 10. Experimental results, normalized intensity units. PPW (mW) = ○ 0.01; ▵ 1.8; × 6.6; ◻ 12.1; ▿ 17.1; + 22.4; * 27.2; --- 31.8; ─ 36.3. n=1.48, γe=0.902, λ=1319nm, ρ0=2.21g/cm3, v=5616m/s, L=1000m, ΓB=0.1GHz, PCW=1.0mW.
    Daisy Williams, Xiaoyi Bao, and Liang Chen. Characterization of high nonlinearity in Brillouin amplification in optical fibers with applications in fiber sensing and photonic logic[J]. Photonics Research, 2014, 2(1): 1
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