Theoretical Study of 4.3 μm Dual-Wavelength Pumped Dy∶InF<sub>3</sub> High-Energy Mid-Infrared Fiber Lasers

Fig. 3. Effect of pump powers on output power and conversion efficiency for 4.3 μm laser. (a) Output power versus pump powers; (b) pump-laser conversion efficiency versus pump powers

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Fig. 4. Pump power, laser power and population density versus position during stable oscillation. (a) q₁; (b) q₂; (c) q_S; (d) population density

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Fig. 5. Influence of reflectivity of output mirror (FBG 1) on q_S under each pump power

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Fig. 6. Influence of fiber losson q_S under each pump power

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Fig. 7. Influence of stimulated absorption cross-section σ₂₄ on q_S

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Fig. 8. Influence of fiber length on q_S

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Fig. 9. Influence of efficient reflectivity R_eff on q_S

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Table 1. Spectroscopic parameters for Dy³⁺

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Table 1. Spectroscopic parameters for Dy³⁺

Parameter	Value	Reference No.
τ₂ /μs	500	[21]
τ₃ /μs	1	[21]
τ₄ /μs	0.05	[21]
$\begin{matrix} λ_{P_{1}} \end{matrix}$ /μm	1.7	[22]
$\begin{matrix} λ_{P_{2}} \end{matrix}$ /μm	2.3	[22]
λ_S /μm	4.3	[22]
W₂₁ /s^-1	17.83	[22]
W₃₂ /s^-1	4.01	[22]
W₃₁ /s^-1	64.80	[22]
W₄₃ /s^-1	4.62	[22]
W₄₂ /s^-1	50.79	[22]
W₄₁ /s^-1	315.77	[22]
M₄₃ /s^-1	2×10⁷	[21]
M₃₂ /s^-1	1×10⁶	[21]
σ₁₃ /m²	6.3×10^-25	[16]
σ₃₁ /m²	6.0×10^-25	[16]
σ₂₃ /m²	6.0×10^-25	[16]
σ₃₂ /m²	9.2×10^-25	[16]

Table 2. Variable spectral parameters and parameters related to fiber laser
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Table 2. Variable spectral parameters and parameters related to fiber laser
Parameter Value
N /m^-3 3×10²⁵
L /m 0.2
r_core /μm 6
$\begin{matrix} Γ_{P_{1}} \end{matrix}$ 0.8
$\begin{matrix} Γ_{P_{2}} \end{matrix}$ 0.8
Γ_S 0.9
$\begin{matrix} α_{P_{1}} \end{matrix}$ /(dB·m^-1) 0.1
$\begin{matrix} α_{P_{2}} \end{matrix}$ /(dB·m^-1) 0.1
α_S /(dB·m^-1) 0.1
R₁ 0.8
R₂ 0.99
R₃ 0.99
R_eff 0.9

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Qu Chongbing, Kang Minqiang, Xiang Xiangjun, Li Jianbin, Zhou Song, Zheng Jiangang, Zhu Qihua, Deng Ying. Theoretical Study of 4.3 μm Dual-Wavelength Pumped Dy∶InF₃ High-Energy Mid-Infrared Fiber Lasers[J]. Chinese Journal of Lasers, 2020, 47(8): 801003

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