相对论电子注在分裂腔中的辐射不稳定性
Radiation instability of a relativistic electron beam into a split-cavity resonator
摘要：
在相对论情况下，研究了分裂腔非对称谐振腔中的辐射不稳定性。考虑了电子束的空间电荷。在小信号近似下，研究了粒子通过谐振腔的能量损失和束流的调制。基于分析和数值计算，它表明，对称配置的分裂腔谐振器提供了最高的不稳定性增长率。结果表明，随着初始电子能量的增加，电子束的调制和能量从粒子到电磁场的传递效率降低。束流密度的增加对辐射不稳定性的增长有积极的影响。重要的是要考虑到所获得的结果时，开发的电磁辐射发生器和系统调制的束流的基础上分裂腔谐振器。
英文摘要：
The radiation instability in a split-cavity asymmetric resonator is considered for the relativistic case. The space charge of an electron beam is taken into account. In the small-signal approximation, the energy loss by particles passing through the resonator and the modulation of beam current are investigated. Based on analytical and numerical calculations, it is shown that the symmetric configuration of a split-cavity resonator provides the highest rate of instability growth. It is shown that the beam modulation and the efficiency of energy transfer from particles to electromagnetic field decrease with the increase in the initial electron energy. The increase in beam density has a positive effect on the radiation instability growth. It is important to take into account the obtained results when developing generators of electromagnetic radiation and systems for modulating the beam current based on a split-cavity resonator.
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