Zhang Dake, Lei Shizhan, Chen Jianwen. Free-electron laser with gradient magnetic field[J]. Chinese Journal of Lasers, 1985, 12(3): 129
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In this article, Lorentz equation and energy equation for the relativistic electrons are solved order by order on the basis of the single-electron model. The gain expression for free-electron lasers with gradient magnetic field is obtained. The result show that when the amplitude of the periodic magnetic field varies along z direction, the gain is expected to be increased.