High Power Laser Science and Engineering, Volume. 7, Issue 3, 03000e42(2019)
Modeling of the 3D spatio-temporal thermal profile of joule-class 
-based laser amplifiers
Figures & Tables(8)
Fig. 1. Numerical calculation of the normalized pump intensity within a Yb:YAG crystal in comparison to the Lambert–Beer and saturated absorption models.
Fig. 3. Pump profile (a) and thermal image (b) of the end-pumped and water-cooled
Fig. 4. Comparison of measured (solid) and simulated (dashed) thermal profiles. The measured temperature profiles for (a) Yb:YAG and (b)
Fig. 5. Schematic of the 3D pumping configuration of the Yb:FP15-based (perimeter in blue) A4 multi-pass amplifier at POLARIS with thermal images of an example of a single pump spot (top left) and the full pump profile (top right).
Fig. 6. Comparison of measured (solid) and simulated (dashed) thermal profiles of the pumped and thermalized Yb:FP15 within the A4 amplifier. A slice through the pumped Yb:FP15 model in COMSOL is shown in (a). The front and back Yb:FP15 profiles are displayed in (b) for times 0 (directly before the 2.7 ms pump pulse), 0.1, 5, 10, 25, and 50 s within the pump cycle (repetition rate 0.02 Hz). The temperature on the front and back centers of the Yb:FP15 material is plotted in (c) throughout the pump cycle.
Fig. 7. Comparison of the measured (solid) and simulated (dashed) front, back, and middle thermal profiles of the pumped Yb:FP15 within the A4 amplifier.
Table 1. Relevant optical and thermal properties of the considered active materials.
View tableView in ArticleTable 1. Relevant optical and thermal properties of the considered active materials.
Material $\text{Yb}^{3+}$ $\left[\displaystyle \frac{\text{ions}}{\text{cm}^{3}}\right]$ $K_{\text{th}}$ $\left[\displaystyle \frac{\text{W}}{\text{m}\cdot \text{K}}\right]$ $\unicode[STIX]{x1D70C}$ $\left[\displaystyle \frac{\text{kg}}{\text{m}^{3}}\right]$ $\unicode[STIX]{x1D6FC}_{T}$ $\left[10^{-6}\displaystyle \frac{1}{\text{K}}\right]$ $C_{p}$ $\left[\displaystyle \frac{\text{J}}{\text{kg}\cdot \text{K}}\right]$ $\unicode[STIX]{x1D6FC}$ $\left[\displaystyle \frac{1}{\text{m}}\right]$ $\unicode[STIX]{x1D702}_{h}$ Yb:YAG $4.2\times 10^{20}$ 9.2[ 16 ]4660[ 16 ]7[ 16 ]615[ 16 ]296[ 19 ]0.07[ 19 ]$\text{Yb:CaF}_{2}$ $3.8\times 10^{20}$ 6.3[ 17 ]3180[ 18 ]18.5[ 18 ]816[ 16 ]67[ 19 ]0.06[ 19 ]Yb:FP15 $6\times 10^{20}$ 0.88[ 20 ]3800[ 20 ]14[ 20 ]720[ 20 ]187[ 15 ]0.13[ 15 ]
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Issa Tamer, Sebastian Keppler, Jörg Körner, Marco Hornung, Marco Hellwing, Frank Schorcht, Joachim Hein, Malte C. Kaluza. Modeling of the 3D spatio-temporal thermal profile of joule-class -based laser amplifiers[J]. High Power Laser Science and Engineering, 2019, 7(3): 03000e42
Paper Information
Category: Research Articles
Received: Mar. 8, 2019
Accepted: Jun. 4, 2019
Published Online: Jul. 24, 2019
The Author Email: Issa Tamer (issa.tamer@uni-jena.de)
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