Mathematical models for laser-plasma interaction

Mathematical models for laser-plasma interaction
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激光-等离子体相互作用的数学模型

DOI:
10.1051/m2an:2005014
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发表时间:
2005
期刊:
Mathematical Modelling and Numerical Analysis
影响因子:
--
通讯作者:
R. Sentis
R. Sentis
中科院分区:
--
文献类型:
--
作者:
R. Sentis

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我们在这里地址的数学模型有关的激光等离子体相互作用。在简单介绍了激光传播及其与等离子体相互作用的物理背景后,我们回顾了等离子体几何光学的一些经典结果。然后,我们处理众所周知的傍轴近似的解的麦克斯韦方程,我们之间的等离子体流体力学和激光传输的耦合模型。最后,我们考虑了与离子声波的耦合,这必须考虑到所谓的布里渊不稳定性模型。在这里,除了宏观密度和速度的等离子体,一个必须处理的时空包络的主激光波,时空包络的受激布里渊后向散射激光波和空间包络的布里渊离子声波。文中还介绍了处理与布里渊不稳定性有关的傍轴模型和三波耦合系统的数值方法。
We address here mathematical models related to the Laser-Plasma Interaction. After a simplified introduction to the physical background concerning the modelling of the laser propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we state a coupling model between the plasma hydrodynamics and the laser propagation. Lastly, we consider the coupling with the ion acoustic waves which has to be taken into account to model the so called Brillouin instability. Here, besides the macroscopic density and the velocity of the plasma, one has to handle the space-time envelope of the main laser wave, the space-time envelope of the stimulated Brillouin backscattered laser wave and the space envelope of the Brillouin ion acoustic waves. Numerical methods are also described to deal with the paraxial model and the three-wave coupling system related to the Brillouin instability.
DOI: 10.1006/jcph.1994.1159
发表时间: 1994-10-01
影响因子: 4.1
作者:
BERENGER, JP
通讯作者: BERENGER, JP