Numerical simulation of short laser pulse amplification
Numerical simulation of short laser pulse amplification
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DOI：
10.1364/josab.36.000717
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发表时间：
2019-03
期刊：
影响因子：
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通讯作者：
Ramon Springer;I. Alexeev;J. Heberle;C. Pflaum
中科院分区：
文献类型：
--
作者：
Ramon Springer;I. Alexeev;J. Heberle;C. Pflaum
在这项工作中，数值解的光子传输方程的脉冲放大。介绍了几种离散方案，使计算之间的耦合的输运方程和粒子数反转。证明了所提出的离散格式相对于Frantz-Nodvik解析解是收敛的。具体而言，应用的预测校正方法的基础上Heun的方法导致的精度相比，纯显式方法的改善。最后，新的离散化方案被应用于模拟不同的再生放大器的基础上钛：蓝宝石和Ho：YAG。此外，Ho：YAG系统的分岔进行了分析，这导致在脉冲放大的稳定工作制度的确定。
Within this work, the numerical solution of the photon transport equation for pulse amplification is presented. Several discretization schemes are introduced that enable the calculation of the coupling between the transport equation and population inversion. It is demonstrated that the presented discretization schemes are convergent with respect to the analytic Frantz–Nodvik solution. Specifically, the application of a prediction-correction approach based on Heun’s method leads to an improvement in accuracy compared to the pure explicit approach. Finally, novel discretization schemes are applied to simulate different regenerative amplifiers based on Ti:Sapphire and Ho:YAG. Moreover, bifurcation of the Ho:YAG system is analyzed, which results in the determination of stable operating regimes for pulsed amplification.