On the basis of equations obtained in the framework of second-order quantum-mechanical perturbation theory, the standard approach to the calculation of scattering radiation probability is extended to the case of ultrashort laser pulses. We investigate the mechanism of the appearance of plasmon peaks in the spectrum of the plasma form factor for different parameters of the problem. For the case in which scattering on plasmons dominates over scattering on electron density fluctuations caused by chaotic thermal motion, we derive analytical expressions describing the scattering probability of ultrashort laser pulses on plasmons. Together with this, we obtain a simple expression connecting the frequency of scattered radiation and the energy transmitted from the incident pulse to plasmon, and vice versa. In considering the scattering probability, our emphasis is on the dependence on the pulse duration. We assess in detail the trends of this dependence for various relations between pulse carrier frequency and plasmon energy.

中文翻译：

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超短激光脉冲在麦克斯韦等离子体中的等离子体上的散射

在二阶量子力学微扰理论框架下获得的方程的基础上，计算散射辐射概率的标准方法扩展到超短激光脉冲的情况。我们针对问题的不同参数研究了等离子体形状因子光谱中等离子体峰出现的机制。对于等离子激元上的散射优于由混沌热运动引起的电子密度波动的散射的情况，我们推导出描述超短激光脉冲在等离子激元上的散射概率的解析表达式。与此一起，我们获得了一个简单的表达式，将散射辐射的频率与从入射脉冲传输到等离子体的能量联系起来，反之亦然。在考虑散射概率时，我们的重点是对脉冲持续时间的依赖。我们详细评估了脉冲载波频率和等离子体能量之间的各种关系的这种依赖性的趋势。