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arXiv 2009.00526hep-ph
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非线性康普顿散射的横向形成长度

Unveiling the transverse formation length of nonlinear Compton scattering

A. Di Piazza

备注：
23 pages
发表信息：
Phys. Rev. A 103, 012215 (2021)
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摘要：

电磁辐射的发射过程并不是瞬间发生的，而是在一个有限的时间内“形成”的，称为辐射形成时间。在超相对论范围内，相应的（纵向）形成长度由形成时间乘以光速给出，并控制辐射的几个特征。在这里，我们阐明的横向形成长度（TFL）的重要性，通过调查的非线性康普顿散射的电子最初counterpropagating相对于\emph{flying focus}激光束。TFL与辐射形成“体积”的横向尺寸有关，并且与纵向形成长度不同，TFL具有量子原点。作为典型的康普顿波长量级的TFL，其中任何激光场都可以被假设为近似均匀的，相关的量子干涉效应已经被忽略。然而，我们分析表明，如果在一个飞行的焦点光束与$n_L\gg 1$周期移动的速度和向后相对于光束传播方向，TFL的效果进行了大的增强成比例的$n_L$，并可能会大大改变可行的飞行焦点脉冲的差分发射概率。

英文摘要：

The process of emission of electromagnetic radiation does not occur instantaneously but it is "formed" over a finite time known as radiation formation time. In the ultrarelativistic regime, the corresponding (longitudinal) formation length is given by the formation time times the speed of light and controls several features of radiation. Here, we elucidate the importance of the transverse formation length (TFL) by investigating nonlinear Compton scattering by an electron initially counterpropagating with respect to a \emph{flying focus} laser beam. The TFL is related to the transverse size of the radiation formation "volume" and, unlike the longitudinal formation length, has a quantum origin. Being the TFL typically of the order of the Compton wavelength, where any laser field can be assumed to be approximately uniform, related quantum interference effects have been ignored. However, we show analytically that if the focus in a flying focus beam with $n_L\gg 1$ cycles moves at the speed of light and backwards with respect to the beam propagation direction, the effects of the TFL undergo a large enhancement proportional to $n_L$ and may substantially alter the differential emission probability for feasible flying focus pulses.

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