• High Power Laser Science and Engineering
  • Vol. 7, Issue 3, 03000e44 (2019)
Chenyi Su, Binglin Shen, Xingqi Xu, Chunsheng Xia, and Bailiang Pan
Author Affiliations
  • Department of Physics, Zhejiang University, Hangzhou 310027, China
  • show less
    DOI: 10.1017/hpl.2019.28 Cite this Article Set citation alerts
    Chenyi Su, Binglin Shen, Xingqi Xu, Chunsheng Xia, Bailiang Pan. Simulation and analysis of the time evolution of laser power and temperature in static pulsed XPALs[J]. High Power Laser Science and Engineering, 2019, 7(3): 03000e44 Copy Citation Text show less
    Schematic diagram of the XPAL configuration.
    Fig. 1. Schematic diagram of the XPAL configuration.
    Four-level system of XPAL.
    Fig. 2. Four-level system of XPAL.
    Flow diagram of iterative operation.
    Fig. 3. Flow diagram of iterative operation.
    Temperature and output laser power as functions of time in an XPAL under single long-time pulse pumping.
    Fig. 4. Temperature and output laser power as functions of time in an XPAL under single long-time pulse pumping.
    Schematic diagram of the temperature distribution in the cell after the pump light is turned on for 8 ms.
    Fig. 5. Schematic diagram of the temperature distribution in the cell after the pump light is turned on for 8 ms.
    (a) Relationship between the output laser power and time under different initial temperature conditions; (b) peak optical–optical efficiency of laser at different initial temperatures.
    Fig. 6. (a) Relationship between the output laser power and time under different initial temperature conditions; (b) peak optical–optical efficiency of laser at different initial temperatures.
    Power and temperature as functions of time in a multi-pulse XPAL with a rectangular shape pump light. (a) Turn on the pump light again when the temperature rise drops to $1/3$ of its maximum; (b) turn on the pump light again when the temperature rise drops to $1/2.5$ of its maximum; (c) turn on the pump light again when the temperature rise drops to $1/2$ of its maximum.
    Fig. 7. Power and temperature as functions of time in a multi-pulse XPAL with a rectangular shape pump light. (a) Turn on the pump light again when the temperature rise drops to $1/3$ of its maximum; (b) turn on the pump light again when the temperature rise drops to $1/2.5$ of its maximum; (c) turn on the pump light again when the temperature rise drops to $1/2$ of its maximum.
    Graphical representation of the data in Table 2.
    Fig. 8. Graphical representation of the data in Table 2.
    Power and temperature as functions of time in a multi-pulse XPAL with different initial temperatures. All the pump light is turned on again when the temperature rise drops to $1/2$ of its maximum. (a) $T_{0}=410$ K; (b) $T_{0}=420$ K; (c) $T_{0}=430$ K; (d) $T_{0}=440$ K.
    Fig. 9. Power and temperature as functions of time in a multi-pulse XPAL with different initial temperatures. All the pump light is turned on again when the temperature rise drops to $1/2$ of its maximum. (a) $T_{0}=410$  K; (b) $T_{0}=420$  K; (c) $T_{0}=430$  K; (d) $T_{0}=440$  K.
    Graphical representation of the data in Table 3.
    Fig. 10. Graphical representation of the data in Table 3.
    ParameterDescriptionValue
    $L$Length of the cell2 cm
    $R$Radius of the cell1.2 cm
    $[\text{Ar}]$Concentration of Ar$2.5\times 10^{25}~\text{m}^{-3}$
    $P_{\text{Cs}}$Pressure of Cs vapor at a temperature of $T_{0}$$10^{9.171{-}3830/T_{0}}$
    $\unicode[STIX]{x1D70F}_{D1}$Lifetime of a particle at the $\text{B}^{2}\unicode[STIX]{x03A3}_{1/2}^{+}$ state30.5 ns
    $\unicode[STIX]{x1D70E}_{D2}$Stimulated emission cross-section of the D2 line$5.54\times 10^{-17}~\text{m}^{2}$
    $\unicode[STIX]{x1D708}_{\text{abs}}$Central frequency of the absorption line$3.5830\times 10^{14}~\text{Hz}$
    $\unicode[STIX]{x0394}\unicode[STIX]{x1D708}_{\text{abs}}$Linewidth of the absorption line${\sim}2$ nm
    $\unicode[STIX]{x1D708}_{p}$Central frequency of the pump line$3.5830\times 10^{14}~\text{Hz}$
    $\unicode[STIX]{x0394}E_{10}$Energy gap between the states 1 and 0$10~\text{cm}^{-1}$
    $\unicode[STIX]{x0394}E_{23}$Energy gap between the states 2 and 3$249~\text{cm}^{-1}$
    $R_{0}$Internuclear distance$4.5\times 10^{-10}~\text{m}$
    $\unicode[STIX]{x0394}R$Range of the internuclear distance$1\times 10^{-10}~\text{m}$
    $k_{ij}$Equilibrium constant between the energy levels[10]
    $k_{\text{abs}}$Reduced absorption coefficient$1.3\times 10^{-36}~\text{cm}^{5}$
    $R_{oc}$Reflectivity of the output coupler0.75
    $R_{p}$Reflectivity of the back reflector0.98
    $T_{l}$Single-pass cell window transmission0.98
    $T_{s}$Intra-cavity single-pass losses0.9
    $w_{0,p}$Waist of the pump beam$5\times 10^{-4}~\text{m}$
    $w_{0,l}$Waist of the laser beam$4\times 10^{-4}~\text{m}$
    Table 1. Parameters in the simulation.
    Parameter (a) (b) (c)
    Thermal relaxation time (ms) 3.88 2.53 1.65
    Recovery coefficient 0.77 0.73 0.68
    Temporal linewidth of the laser (except the first pulse) (ms) 0.95 0.83 0.68
    Average power of the laser for a single pulse (except the first pulse) (W)13.3012.9112.38
    Number of pulses in 12 ms 3 4 5
    Total energy of the laser in 12 ms (mJ)54.3561.7063.17
    Table 2. Data for the multi-pulse XPAL at $T_{0}=410$  K in Figure 7.
    Parameter (a) (b) (c) (d)
    Initial temperature (K) 410 420 430 440
    Maximum temperature rise (K)170.3195.8206.4229.5
    Thermal relaxation time (ms) 1.88 1.38 1.18 1.08
    Maximum optical–optical efficiency (%)0.0850.1350.2080.315
    Recovery coefficient 0.68 0.65 0.64 0.63
    Temporal linewidth of the laser (except the first pulse) (ms) 0.68 0.43 0.28 0.18
    Average power of the laser for a single pulse (except the first pulse) (W)12.3818.7228.6142.38
    Number of pulses in 7 ms 3 4 5 6
    Total energy of the laser in 7 ms (mJ)46.4651.6457.1662.37
    Table 3. Data for the multi-pulse XPAL with different $T_{0}$ in Figure 9.
    Chenyi Su, Binglin Shen, Xingqi Xu, Chunsheng Xia, Bailiang Pan. Simulation and analysis of the time evolution of laser power and temperature in static pulsed XPALs[J]. High Power Laser Science and Engineering, 2019, 7(3): 03000e44
    Download Citation