电子回旋共振放大器的理论分析

本文利用动功率定理求解静磁场中运动的相对论性电子束与波导中电磁行波的相互作用问题。引入电子群聚函数这一概念,它有利于分析放大器中电子群聚过程。通过数值计算分析了互作用区中回旋电子与行波场之间能量交换全过程。计算结果表明:纵向波数的虚部不为常量,因此增益特性并非线性;在高效率、高功率输出下要求静磁场B₀高度稳定;调整工作参量降低输出功率值,则对磁场稳定度要求也降低。这些性质可通过对电子群聚过程的分析得到解释。 关键词：

THEORETICAL ANALYSIS OF ELECTRON CYCLOTRON RESONANCE AMPLIFIER

In this paper, the kinetic power theorem is used for solving the problem of interaction between a relativistic electron beam moving in a static magnetic field and a travelling electromagnetic wave. The electron bunching function suggested here is specially suitable for analyzing the electron bunching process in this amplifier. By using numerical calculation, the whole process of energy exchange between the gyrating electrons and waves in the interaction region is analysed. The results of calculation show that the imaginary part of the axial wa-venumber is not a constant, so that the gain characteristics is nonlinear. Under the situation of high efficiency and high power output operation, very high stability is required for the static magnetic field. By adjusting the operation parameters to lower the output power, the high stability requirement may be somewhat.relaxed By analysing the electron bunching process, these properties of this amplifier can be well explained.