电子在强平面线极化电磁波上散射的性质：经典处理
Properties of electrons scattered on a strong plane electromagnetic wave with a linear polarization: classical treatment
摘要：
利用包含辐射反应的运动方程（Landau-Lifshitz方程）的精确解，建立了超相对论电子在低频线极化强电磁波上散射的出射动量分量之间的关系。结果表明，穿过电磁波的电子动量分量对动量初值的依赖性很弱。这些电子大多以与电磁波的传播方向成小角度散射。通过电磁波的电子的最大洛伦兹因子与电磁场所做的功成正比，而与初始动量无关。平行于电磁波的电场强度矢量的动量分量仅由以经典电子半径为单位测量的激光束的直径确定。至于被反射的电子，它们大部分失去了能量，但仍保持相对论性。对于这些电子，存在与入射角和反射角相关的反射定律，并且与任何参数无关。
英文摘要：
The relations among the components of the exit momenta of ultrarelativistic electrons scattered on a strong electromagnetic wave of a low (optical) frequency and linear polarization are established using the exact solutions to the equations of motion with radiation reaction included (the Landau-Lifshitz equation). It is found that the momentum components of the electrons traversed the electromagnetic wave depend weakly on the initial values of the momenta. These electrons are mostly scattered at the small angles to the direction of propagation of the electromagnetic wave. The maximum Lorentz factor of the electrons crossed the electromagnetic wave is proportional to the work done by the electromagnetic field and is independent of the initial momenta. The momentum component parallel to the electric field strength vector of the electromagnetic wave is determined only by the diameter of the laser beam measured in the units of the classical electron radius. As for the reflected electrons, they for the most part lose the energy, but remain relativistic. There is a reflection law for these electrons that relates the incident and the reflection angles and is independent of any parameters.
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