计算相对论电子束与等离子体波导系统色散关系的格林函数方法

A GREEN'S FUNCTION METHOD OF CALCULATING THE DISPERSION RELATIONS OF A RELATIVISTIC ELECTRON BEAM-PLASMA WAVEGUIDE SYSTEM

本文对于有限和无限磁场下的电子束——冷等离子体系统,应用格林函数方法得出了色散方程,此方程可用逐级近似求解,在一阶近似下,对不太复杂的几何形状,求得了相应的色散关系.本文发展的分析方法适合于研究有限磁场强度和不同的电子束几何形式对电磁辐射的影响.

The dispersion,equations of a beam-plasma waveguide system in the presence of finite and infinite magnetic fields arc obtained by means of the Green's func- tion method.The equations can be solved in series.In the first approxi-mation the corre- sponding dispersion relations are derived for an uncomplicated geometry.The method developed in this paper is very suitable to the investigation of the effects of finite magnet- ic field and different beam profiles on the electromagnetic radiation.