We report an exact solution of the Hartemann–Luhmann equation of motion for a charged particle interacting with an intense electromagnetic wave/pulse. It is found that the radiation reaction force has a significant affect on the charged particle dynamics and the particle shows, on average, a net energy gain over a period of time. Further, using a MATHEMATICA based single particle code, the net energy gained by the particle is compared with that obtained using Landau–Lifshitz and Ford–O’Connell equation of motion, for different polarizations of the electromagnetic wave. It is found that the average energy gain is independent of both the chosen model equation and polarization of the electromagnetic wave. Our results thus show that the simpler and hence analytically tractable Hartemann–Luhmann equation of motion (as compared to Landau–Lifshitz and Ford–O’Connell equation of motion) is adequate for calculations of practical use (for e.g. energy calculation).

我们报告了带电粒子与强电磁波/脉冲相互作用的 Hartemann-Luhmann 运动方程的精确解。发现辐射反作用力对带电粒子动力学具有显着影响，并且粒子在一段时间内平均显示净能量增益。此外，使用基于 MATHEMATICA 的单粒子代码，对于不同的电磁波极化，粒子获得的净能量与使用 Landau-Lifshitz 和 Ford-O'Connell 运动方程获得的净能量进行比较。发现平均能量增益与所选的模型方程和电磁波的极化无关。