Infrared and Laser Engineering, Volume. 51, Issue 1, 20210857(2022)

Ultra-short pulse fiber amplifier model based on recurrent neural network (Invited)

Yiwen Zhang... Yu Cai, Lixin Yuan and Minglie Hu |Show fewer author(s)
Author Affiliations
  • Ultrafast Laser Laboratory, College of Precision Instruments and Opto-Electronics Engineering, Tianjin University, Tianjin 300072, China
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    Figures & Tables(7)
    Schematic of numerical calculationsmodel of fiber amplifiers
    Schematic of the recurrent neural network architecture
    Evolution of pulses calculated using NLSE&RE and RNN respectively. (a) Time domain evolution; (b) Frequency domain evolution; (c) Pulse width (blue line) and spectral width (red line)
    Time domain and frequency of pulses at different transmission distances calculated using NLSE&RE (red dotted line) and RNN (blue solid line) respectively
    Calculation time versus number of grid points and calculation steps by using NLSE&RE and RNN respectively
    Comparison of experimental results with simulation results. (a) Amplifier power; (b) Time domain of output pulses; (c) Spectrum of output pulses, where GNLSE&RE calculated results are red dotted lines, RNN predicted results are blue solid lines and experimental results are black solid lines
    • Table 1. Parameters used in the simulation

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      Table 1. Parameters used in the simulation

      ParametersValueSourceParametersValueSource
      ${\lambda _0}/ {{\text{nm}}} $1 975Measured${\lambda _{\text{p}}}/ {{\text{nm}}} $793Measured
      ${\sigma _{\text{a} } } \left({ {\lambda _j} } \right)/ { { {\text{m} }^{\text{2} } } }$FittedJackson[16]${\sigma _{\text{a} } } \left( { {\lambda _{\text{p} } } } \right)/ { { {\text{m} }^{\text{2} } } }$$6 \times {10^{ - 25}}$Smith[20]
      ${\sigma _{\text{e} } } \left({ {\lambda _j} } \right)/ { { {\text{m} }^{\text{2} } } }$FittedJackson[16]${\sigma _{\text{e} } }\left( { {\lambda _{\text{p} } } } \right)/ { { {\text{m} }^{\text{2} } } }$$5 \times {10^{ - 26}}$Smith[20]
      ${N_{\text{d}}}/ {{{\text{m}}^{-3}}} $$1.7 \times {10^{26}}$NUFERN$V$3.02NUFERN
      ${D_{ {\text{core} } } }/ { {\text{μ} }{\rm{m} } }$10NUFERN${D_{ {\text{clad} } } }/ { {\text{μ } } }{\rm{m} }$130NUFERN
      ${A_{\rm{eff} } }/{ {\text{μ } }{ {\rm{m} }^{\text{2} } } }$72.7Calculated[21]${A_{\text{p} } }/ {\text{μ } } {\text{m} }^{\text{2} }$$1.40 \times {10^4}$Calculated[21]
      $ {\varGamma _{\text{s}}} $0.88Calculated[21]$ {\varGamma _{\text{p}}} $$5.6 \times {10^{ - 3}}$Calculated[21]
      ${A_{30}}/ {{{\text{s}}^{{{ - 1}}}}} $0${A_{31}}/ {{{\text{s}}^{{{ - 1}}}}} $$7 \times {10^4}$Jackson[16]
      ${A_{32}}/ {{{\text{s}}^{{{ - 1}}}}} $0${A_{20}}/ {{{\text{s}}^{{{ - 1}}}}} $0
      ${A_{21}}/ {{{\text{s}}^{{{ - 1}}}}} $0${A_{10}}/ {{{\text{s}}^{{{ - 1}}}}} $3000Jackson[16]
      ${k_{3011} }/ { { {\text{m} }^{\text{3} } } \cdot { {\text{s} }^{ { { - 1} } } } }$$2 \times {10^{ - 22}}$Smith[20]$ {k_{1130}}/ {{{\text{m}}^{\text{3}}} \cdot {{\text{s}}^{{{ - 1}}}}} $$2 \times {10^{ - 23}}$Smith[20]
      ${k_{2011} }/ { { {\text{m} }^{\text{3} } } \cdot { {\text{s} }^{ { { - 1} } } } } $0$ {k_{1120}}/ {{{\text{m}}^{\text{3}}} \cdot {{\text{s}}^{{{ - 1}}}}} $0
      ${\alpha _{\text{s} } }/ { { {\text{m} }^{ { { - 1} } } }}$$2.3 \times {10^{ - 3}}$Jackson[16]${\alpha _{_{\text{p} } } } / { { {\text{m} }^{ { { - 1} } } }}$$1.2 \times {10^{ - 2}}$Jackson[16]
      ${\beta _2}/ { {\text{p} }{ {\text{s} }^{\text{2} } }\cdot{\text{k} }{ {\text{m} }^{ { { - 1} } } } }$−88NUFERN${\beta _3}/ { {\text{p} }{ {\text{s} }^{\text{3} } }\cdot{\text{k} }{ {\text{m} }^{ { { - 1} } } }}$+0.28NUFERN
      ${n_2}/ { { {\text{m} }^{\text{2} } }\cdot{ {\text{W} }^{ { { - 1} } } } }$$2.3 \times {10^{ - 20}}$Agrawal[18]$\gamma / { { {\text{m} }^{ - 1} }\cdot{ {\text{W} }^{ { { - 1} } } }}$0.0010Calculated[18]
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    Yiwen Zhang, Yu Cai, Lixin Yuan, Minglie Hu. Ultra-short pulse fiber amplifier model based on recurrent neural network (Invited)[J]. Infrared and Laser Engineering, 2022, 51(1): 20210857

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    Paper Information

    Category: Lasers & Laser optics

    Received: Nov. 25, 2021

    Accepted: Dec. 27, 2021

    Published Online: Mar. 8, 2022

    The Author Email:

    DOI:10.3788/IRLA20210857

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