Author Affiliations
Institute of Ultrashort Pulsed Laser and Application, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, Chinashow less
Fig. 1. Energy-level diagram of 3.5-μm-DWP-Er∶ZBLAN fiber laser
Fig. 2. Numerical algorithm model
Fig. 3. Evolution of particle number density at z=0 (Pp1=4.47 W, Pp2=5 W)
Fig. 4. Algorithm flowchart. (a)Relaxation method; (b)shooting method
Fig. 5. Power distribution in the laser cavity at Pp1=4.46 W, Pp2=5 W
Fig. 6. Relationship between Ps2 and Pp2. (a) Maes et al experimental and simulated results; (b) simulatied results of the proposed algorithm
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
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
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
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
Parameter | Value |
---|
τ1 /ms | 9.9 | τ2 /ms | 7.9 | τ3 /μs | 8.0 | τ4 /μs | 177 | τ5 /μs | 530 | τ6 /μs | 5.0 | β21, β20 | 0.182, 0.818 | β32, β30 | 0.999, 0.001 | β43, β42, β41, β40 | 0.808, 0.008, 0.009, 0.175 | β54, β53, β52, β51, β50 | 0.285, 0.029, 0.014, 0.193, 0.479 | β65, β60 | 0.99, 0.01 |
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Table 1. lifetime of each energy-level and branching ratios
[32] Parameter | Value | Parameter | Value |
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Pp1(0) /W | 4.17 | 4.46 | 4.74 | σ02 /(10-26 m2) | 3.55 | 3.77 | 3.96 | NEr /(1026 m3) | | 1.6 | | σ20 /(10-26 m2) | 1.52 | 1.64 | 1.74 | Rs20 | | 0.86 | | σ26 /(10-26 m2) | 26.0 | 26.4 | 26.8 | Rs2L | | 0.55 | | σ62 /(10-26 m2) | 31.1 | 31.9 | 31.7 | λp1 /nm | 964.6 | 964.8 | 965.0 | σ21 /(10-26 m2) | | 9.0 | | λp1 /nm | | 1976 | | σ12 /(10-26 m2) | | 5.085 | | λs2 /μm | | 3.44 | | σ24 /(10-26 m2) | | 30 | | αs2 /m-1 | | 0.035 | | σ42 /(10-26 m2) | | 37.5 | | W1103 /(10-23 m3/s) | | 1.3 | | σ36 /(10-26 m2) | | 2.10 | | W2206 /(10-23 m3/s) | | 0.16 | | σ46 /(10-26 m2) | | 0.7 | | W4251 /(10-23 m3/s) | | 2.5 | | σ43 /(10-26 m2) | | 10.8 | | W5031 /(10-23 m3/s) | | 0.48 | | σ34 /(10-26 m2) | | 15.0 | |
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Table 2. Simulated parameters
[33-34]