非线性Compton和Thomson散射的频率标度律：自旋和极化效应的相关性
Frequency scaling law for nonlinear Compton and Thomson scattering: Relevance of spin and polarization effects
摘要：
分别在量子电动力学和经典电动力学框架下计算了整形激光脉冲与自由电子碰撞的康普顿辐射和汤姆逊辐射的分布。我们介绍了一个标度律的康普顿和汤姆逊频率分布，普遍适用于长和短的入射脉冲。因此，我们扩展了之前比较非线性康普顿和汤姆森过程的研究中假设的频率缩放的有效性。本文介绍的标度律与康普顿无自旋翻转过程的汤姆逊过程几乎在整个光谱的发射辐射，包括其高能量部分。通过应用频率标度，我们确定，自旋和极化效应是负责经典和量子结果之间的差异。相同的频率标度适用于角分布和时间功率分布的发射辐射，我们说明了数值。
英文摘要：
The distributions of Compton and Thomson radiation for a shaped laser pulse colliding with a free electron are calculated in the framework of quantum and classical electrodynamics, respectively. We introduce a scaling law for the Compton and the Thomson frequency distributions which universally applies to long and short incident pulses. Thus, we extend the validity of frequency scaling postulated in previous studies comparing nonlinear Compton and Thomson processes. The scaling law introduced in this paper relates the Compton no-spin flipping process to the Thomson process over nearly the entire spectrum of emitted radiation, including its high-energy portion. By applying the frequency scaling, we identify that both spin and polarization effects are responsible for differences between classical and quantum results. The same frequency scaling applies to angular distributions and to temporal power distributions of emitted radiation, which we illustrate numerically.
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