自由电子激光器的小信号时域研究

本文推导了自由电子激光器中光脉冲的时间进展方程,数值研究了它的定态解。给出了不同调谐参数和峰值增益参数时的本征值和同步失配的关系,以及不同耦合参数时的光脉冲形状。计算结果与Dattoli的超模理论结果作了比较。

A SMALL SIGNAL TIME DOMAIN ANALYSIS OF A FREE ELECTRON LASER

A evolution equation for a optical pulse in FEL is derived .Its steady solutions are studied by numerical method. The relations between the eigenvalues and the desynchronisms are given for different parameters. Some conclutions are presented. First, the eigenvalues decrease as go increase. Second, the eigenvalues are also related to detuning parameter, when it is equal to 2 .7 the eigenvalue reaches the maximum. Third, the relations between eigenvalues and coupling parameters coincide with Dattoli's scaling law. At last we present the results calculated with the parameters of the Beijing IR FEL project .The maximum steady gain coefficient G =0.39 and the FWHM of the optical pulse is about 1 ps.