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Chinese Journal of Lasers, Volume. 48, Issue 11, 1101004(2021)

Algorithm Optimization for Fast Simulation of 3.5 μm Dual-Wavelength Pumped Er∶ZBLAN Fiber Laser

Luo Wang, Chuanfei Yao, Pingxue Li*, Xi Zhang, Yongjing Wu, Xuan Wang, and Linjing Yang
Author Affiliations
  • Institute of Ultrashort Pulsed Laser and Application, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (12)
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    References (39)
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    Figures & Tables(12)
    Energy-level diagram of 3.5-μm-DWP-Er∶ZBLAN fiber laser

    Fig. 1. Energy-level diagram of 3.5-μm-DWP-Er∶ZBLAN fiber laser

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    Numerical algorithm model

    Fig. 2. Numerical algorithm model

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    Evolution of particle number density at z=0 (Pp1=4.47 W, Pp2=5 W)

    Fig. 3. Evolution of particle number density at z=0 (Pp1=4.47 W, Pp2=5 W)

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    Algorithm flowchart. (a)Relaxation method; (b)shooting method

    Fig. 4. Algorithm flowchart. (a)Relaxation method; (b)shooting method

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    Power distribution in the laser cavity at Pp1=4.46 W, Pp2=5 W

    Fig. 5. Power distribution in the laser cavity at Pp1=4.46 W, Pp2=5 W

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    Relationship between Ps2 and Pp2. (a) Maes et al experimental and simulated results; (b) simulatied results of the proposed algorithm

    Fig. 6. Relationship between Ps2 and Pp2. (a) Maes et al experimental and simulated results; (b) simulatied results of the proposed algorithm

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    Relationship between number of cycles and power guess value of 3.44 μm signal light at three pump schemes(δ=10-5). (a) Pp1=4.17 W, Pp2=4 W; (b) Pp1=4.46 W, Pp2=5 W; (c) Pp1=4.74 W, Pp2=6 W

    Fig. 7. Relationship between number of cycles and power guess value of 3.44 μm signal light at three pump schemes(δ=10-5). (a) Pp1=4.17 W, Pp2=4 W; (b) Pp1=4.46 W, Pp2=5 W; (c) Pp1=4.74 W, Pp2=6 W

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    Relationship between absolute error and number of cycles at three pump schemes(δ=10-8). (a) Pp1=4.17 W, Pp2=4 W; (b) Pp1=4.46 W, Pp2=5 W; (c) Pp1=4.74 W, Pp2=6 W

    Fig. 8. Relationship between absolute error and number of cycles at three pump schemes(δ=10-8). (a) Pp1=4.17 W, Pp2=4 W; (b) Pp1=4.46 W, Pp2=5 W; (c) Pp1=4.74 W, Pp2=6 W

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    Relationship between computation time and number of cycles at three pump schemes. (a) Pp1=4.17 W, Pp2=4 W; (b) Pp1=4.46 W, Pp2=5 W; (c) Pp1=4.74 W, Pp2=6 W

    Fig. 9. Relationship between computation time and number of cycles at three pump schemes. (a) Pp1=4.17 W, Pp2=4 W; (b) Pp1=4.46 W, Pp2=5 W; (c) Pp1=4.74 W, Pp2=6 W

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    Relationship between total computation time and convergence accuracy at three pump schemes. (a)Pp1=4.17 W, Pp2=4 W; (b)Pp1=4.46 W, Pp2=5 W; (c)Pp1=4.74 W, Pp2=6 W

    Fig. 10. Relationship between total computation time and convergence accuracy at three pump schemes. (a)Pp1=4.17 W, Pp2=4 W; (b)Pp1=4.46 W, Pp2=5 W; (c)Pp1=4.74 W, Pp2=6 W

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    • Table 1. lifetime of each energy-level and branching ratios[32]

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      Table 1. lifetime of each energy-level and branching ratios[32]

      ParameterValue
      τ1 /ms9.9
      τ2 /ms7.9
      τ3 /μs8.0
      τ4 /μs177
      τ5 /μs530
      τ6 /μs5.0
      β21, β200.182, 0.818
      β32, β300.999, 0.001
      β43, β42, β41, β400.808, 0.008, 0.009, 0.175
      β54, β53, β52, β51, β500.285, 0.029, 0.014, 0.193, 0.479
      β65, β600.99, 0.01

    • Table 2. Simulated parameters[33-34]

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      Table 2. Simulated parameters[33-34]

      ParameterValueParameterValue
      Pp1(0) /W4.174.464.74σ02 /(10-26 m2)3.553.773.96
      NEr /(1026 m3)1.6σ20 /(10-26 m2)1.521.641.74
      Rs200.86σ26 /(10-26 m2)26.026.426.8
      Rs2L0.55σ62 /(10-26 m2)31.131.931.7
      λp1 /nm964.6964.8965.0σ21 /(10-26 m2)9.0
      λp1 /nm1976σ12 /(10-26 m2)5.085
      λs2 /μm3.44σ24 /(10-26 m2)30
      αs2 /m-10.035σ42 /(10-26 m2)37.5
      W1103 /(10-23 m3/s)1.3σ36 /(10-26 m2)2.10
      W2206 /(10-23 m3/s)0.16σ46 /(10-26 m2)0.7
      W4251 /(10-23 m3/s)2.5σ43 /(10-26 m2)10.8
      W5031 /(10-23 m3/s)0.48σ34 /(10-26 m2)15.0
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    Luo Wang, Chuanfei Yao, Pingxue Li, Xi Zhang, Yongjing Wu, Xuan Wang, Linjing Yang. Algorithm Optimization for Fast Simulation of 3.5 μm Dual-Wavelength Pumped Er∶ZBLAN Fiber Laser[J]. Chinese Journal of Lasers, 2021, 48(11): 1101004

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    Paper Information

    Category: laser devices and laser physics

    Received: Nov. 9, 2020

    Accepted: Jan. 5, 2021

    Published Online: May. 20, 2021

    The Author Email: Li Pingxue (pxli@bjut.edu.cn)

    DOI:10.3788/CJL202148.1101004

    Topics

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