Within the framework of the second order of perturbation theory and the dipole approximation, we derived simple formulas describing the temporal dynamics of ultrashort laser pulse scattering in terms of the scattering tensor and the Fourier transform of the strength of the electric field in a pulse. This expression was used for description of resonant scattering of an ultrashort pulse by an atom. We study the dependence of the spectral scattering probability as a function of time and scattering frequency. In particular, it is shown that the time dependence of the spectral scattering probability for certain values of parameters is of oscillatory character, while the integral scattering probability is always a monotonically increasing function of time.

中文翻译：

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原子对超短激光脉冲共振散射的时间动力学

在二阶微扰理论和偶极子近似的框架内，我们推导出了描述超短激光脉冲散射的时间动力学的简单公式，根据散射张量和脉冲中电场强度的傅立叶变换。该表达式用于描述原子对超短脉冲的共振散射。我们研究了光谱散射概率作为时间和散射频率的函数的依赖性。特别是，它表明对于某些参数值的光谱散射概率的时间依赖性具有振荡特性，而积分散射概率始终是时间的单调递增函数。