In the present analysis, we study effects of the radiation reaction (RR) on the dynamics of charged particles submitted to the action of localized longitudinal high-frequency carriers travelling at the speed of light. As the wave's crests and troughs keep overtaking particles, dissipative RR forces tend to drag particles alongside the wave in an effort to reduce the relative wave–particle speed. Particles of course never reach the phase velocity of the wave, but are instead driven to an ever-growing velocity, towards the speed of light, while in the wave localization region. We developed a modified average Hamiltonian formalism capable of describing the intricacies of the corresponding dynamics. The modified formalism agrees with simulations and is of particular usefulness in the study of optimum values for the localization length and maximum wave amplitude.

中文翻译：

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由辐射反应的相关效应驱动的带电粒子的非共振加速

在本分析中，我们研究了辐射反应 (RR) 对带电粒子动力学的影响，这些带电粒子受到以光速行进的局部纵向高频载流子的作用。随着波的波峰和波谷不断超越粒子，耗散的 RR 力倾向于将粒子拖到波旁边，以降低波粒子的相对速度。粒子当然永远不会达到波的相速度，而是在波定位区域中被驱动到一个不断增长的速度，朝着光速发展。我们开发了一种改进的平均哈密顿形式，能够描述相应动力学的复杂性。