The conditions for ensuring the equilibrium steady-state of a high-density hollow electron beam transported in cylindrical drift tubes and focused by a uniform magnetic field are investigated. The results of numerical calculations of the currents limited due to the longitudinal deceleration of electrons by the space charge and the violation of equilibrium transverse magnetic focusing conditions when transporting beams of different configurations in klystron-type devices are presented. The limitations of the working length of the device associated with the excitation of diocotron instability are estimated. The calculation results were compared with the data obtained by the quasi-3D Arsenal—MSU computer code and by the approximate analytical formulas of other authors.

中文翻译：

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毫米波真空电子器件漂移管中轴对称空心电子束的电流限制

研究了确保在圆筒形漂移管中传输并受到均匀磁场聚焦的高密度空心电子束平衡稳态的条件。提出了数值计算的结果，该结果是由于在速调管型器件中传输不同结构的电子束时，由于空间电荷引起的电子的纵向减速和违反平衡横向磁聚焦条件而受到限制的。估计了与电子整流子不稳定性激发相关的设备工作长度的限制。将计算结果与通过准3D Arsenal-MSU计算机代码和其他作者的近似分析公式获得的数据进行比较。