Numerical Simulations of X-Ray Free Electron Lasers (XFEL)

Numerical Simulations of X-Ray Free Electron Lasers (XFEL)
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X 射线自由电子激光器 (XFEL) 的数值模拟

DOI:
10.1137/130927838
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发表时间:
2014-01
影响因子:
1.6
通讯作者:
Markowich Peter A.
Markowich Peter A.
中科院分区:
数学3区
文献类型:
--
作者:
Antonelli Paolo;Athanassoulis Agissilaos;Zhongyi Huang;Markowich Peter A.

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研究了x射线自由电子激光器(XFEL)中一种有效的单粒子模型——非线性薛定谔方程。该方程作为在XFEL分子成像实验中发生的束-物质相互作用的第一性原理模型出现。Fratalocchi和G. Ruocco,物理学家。启。生态学报,106 (2011),105504 [j]。由于XFEL比传统激光器更强大几个数量级,对许多标准假设和近似的系统研究引起了越来越多的关注。在该模型中,电子在快速振荡的电磁场下运动,并检验了问题收敛到有效时均问题的收敛性。我们使用算子分裂伪谱方法来研究模型在复杂情况下的数值行为,即能量亚临界/质量超临界情况下和存在周期晶格时的时间平均版本。我们发现时间平均模式…
We study a nonlinear Schrodinger equation which arises as an effective single particle model in X-ray free electron lasers (XFEL). This equation appears as a first principles model for the beam-matter interactions that would take place in an XFEL molecular imaging experiment in [A. Fratalocchi and G. Ruocco, Phys. Rev. Lett., 106 (2011), 105504]. Since XFEL are more powerful by several orders of magnitude than more conventional lasers, the systematic investigation of many of the standard assumptions and approximations has attracted increased attention. In this model the electrons move under a rapidly oscillating electromagnetic field, and the convergence of the problem to an effective time-averaged one is examined. We use an operator splitting pseudospectral method to investigate numerically the behavior of the model versus that of its time-averaged version in complex situations, namely the energy subcritical/mass supercritical case and in the presence of a periodic lattice. We find the time-averaged mode...
DOI: 10.1103/physrevlett.106.105504
发表时间: 2011-03-09
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