Electron Acceleration by Longitudinal Electric Field of Laser Beam with Large Power

分析表明，真空中高斯激光束的纵向电场将电子加速到超相对论能量。最有利的电子在两倍于瑞利范围的长度内被加速。结果表明，单束激光作用下电子的最终能量增量由横场强度与束腰的乘积给出。讨论了电子轨道的稳定性和俘获条件。增益可以是每单级100MeV的量级，然后多级加速使得在现有技术的情况下在几公里的长度内实现TeV级加速。

It is analytically shown that the longitudinal electric field of a Gaussian laser beam in vacuum accelerates an electron to an ultra-ralativistic energy. The most favorable electron is accelerated in a length of twice the Rayleigh range. It is found that the ultimate energy increment of the electron with a single laser beam is given by the product of transverse field intensity and the beam waist. Also stability of the elctron orbit and the trapping condition are discussed. The gain can be of the order of 100MeV per single stage and then a multi-stage acceleration enables TeV-order-acceleration in a length of a few kilometers with the present state of the art.