关于轴向磁场的自由电子激光器增益特性
ON THE GAIN CHARACTERS OF FREE ELECTRON LASER WITH AN AXIAL MAGNETIC FIELD
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摘要: 本文从流体力学麦克斯韦方程组出发,用拉氏变换方法求得了考虑轴向磁场的自由电子激光器的增益公式。数值计算和色散关系的分析表明,当迴旋频率接近于入射波频率i与电子等离子体频率p之差#em/em#p时,增益会大大下降,并且增益与泵浦-信号失配关系曲线的峰值的位置也会由原来的p向低的方向移动,我们可以利用i-p时出现增益零点的现象来推算p。
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Abstract: Starting from fluid mechanics-Maxwell coupled equations, a gain formula of free electron laser with an axial magnetic field is obtained by use of Laplace transform. The numerieal calculations and the analyses of the dispersion relation indicate that when the electron cyclotron frequency approaches to i-p(i is the frequency of the incident pump wave and p is the electron plasma frequeney), there is a marked drop in the gain and the position of the peak of gain-pump signal mismatch curve shifts downwards from p. We can use the phenomenon of zero-gain to calculate p. -
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