• Chinese Journal of Lasers
  • Vol. 48, Issue 11, 1101004 (2021)
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
  • show less
    DOI: 10.3788/CJL202148.1101004 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    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
    Numerical algorithm model
    Fig. 2. Numerical algorithm model
    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)
    Algorithm flowchart. (a)Relaxation method; (b)shooting method
    Fig. 4. Algorithm flowchart. (a)Relaxation method; (b)shooting method
    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
    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
    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
    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
    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
    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
    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 1. lifetime of each energy-level and branching ratios[32]
    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
    Table 2. Simulated parameters[33-34]
    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
    Download Citation