含等离子体柱的介质慢波波导中的注波互作用分析

ANALYSES OF BEAM WAVE INTERACTION IN A DIELECTRIC LINED SLOW WAVE WAVEGUIDE WITH A PLASMA COLUMN

提出了一种新的注波互作用慢波系统———在部分填充介质的波导中放置一等离子体柱．利用线性自洽场理论，对这一新慢波系统中的相对论电子注与波的互作用进行了分析．具体针对薄环形相对论电子注包围等离子体柱和在等离子体柱内穿过慢波系统这两种情况，分别导出了决定注波互作用的色散方程．并对色散方程直接进行了数值求解，求得了系统的截止频率、工作频率和波增长率等．讨论了等离子体柱等有关参数对它们的影响．

A new type of slow wave system (SWS) for the beam wave interaction——putting a plasma column into a dielectric partially filled waveguide, is presented. By use of the linear self consistent field theory, the interaction of a relativistic electron beam with the wave in the SWS is analysed. Determinative dispersion equations are derived for a thin annular relativistic electron beam propagating through the SWS surrounding and existing inside the plasma column, respectively. These dispersion equations are directly solved numerically, and the cut off frequency, the operation frequency and the growth rate of the waves are obtained. Finally, the effects of the parameters of the plasma column on them are discussed.