Abstract

An expression for the momentum diffusion coefficient for an ultrarelativistic electron beam moving in the spatially periodic magnetic field of an undulator has been obtained taking into account the initial energy spread of electrons. The dependences of the diffusion coefficient both on the distance traveled by electrons in the undulator and on the initial energy spread of electrons have been analyzed. It has been shown that the longitudinal momentum spread of electrons increases in the process of motion of the beam in the undulator. It has been found that the diffusion coefficient in the kinetic stage is independent of the distance traveled by the beam in the undulator. The possibility development of X-ray free electron lasers is discussed.

中文翻译：

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增加波动器中超相对论电子束的动量传播

摘要

考虑到电子的初始能量扩散，已经获得了在波荡器的空间周期磁场中运动的超相对论电子束的动量扩散系数的表达式。已经分析了扩散系数对波荡器中电子行进距离和电子初始能量传播的依赖性。已经表明，电子的纵向动量扩展在波束中的波束运动过程中增加。已经发现，动力学阶段的扩散系数与波束中光束行进的距离无关。讨论了X射线自由电子激光器的发展可能性。