摘要
建立了有阻尼项的摆方程 ,在小信号情况下 ,对方程进行了迭代求解 .由解得的结果得到了增益函数的表达式 .特别对弱阻尼和过阻尼情况进行了计算 ,分别得到了相应的增益函数简化公式 .
In this paper a simple pendulum equation with damping term is found for a free\|electron laser. The equation is solved by using iteration in small signal regime and the formula of the gain function obtained corresponds to the iteration solution. Particularly, the simplified formulae are also derived of the gain function in both weak damping and overdamping regimes in free\|electron lasers, and the origin and the physical meaning of the damping term in the simple pendulum equation are discussed in detail.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2000年第5期893-897,共5页
Acta Physica Sinica
