The conditions providing the equilibrium stationary state of high-density solid and annular electron beams, transported in cylindrical drift tubes and focused by a homogeneous magnetic field, have been investigated. An efficient numerical model is proposed to determine the distributions of the electrostatic potential, charge density, and electron velocities in the stationary state of these beams, with allowance for the space-charge forces. The results of the numerical calculations for the limiting currents, determined by the longitudinal deceleration (caused by space-charge forces) and conditions for equilibrium transverse magnetic focusing for transported beams of different configurations on the length of a klystrontype vacuum electronic device, are presented. The limitations on the device working length, related to the excitation of diocotron instability, are estimated. The calculation results are compared with the data obtained using the quasi-three-dimensional program “Arsenal-MSU” and analytical formulas suggested by other researchers.

中文翻译：

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毫米波真空电子设备的圆柱形漂移管中的电流限制

已经研究了提供高密度固体和环形电子束平衡稳态的条件，该条件在圆柱形漂移管中传输并由均匀磁场聚焦。提出了一个有效的数值模型来确定这些电子束在静止状态下的静电势，电荷密度和电子速度的分布，并考虑了空间电荷力。给出了极限电流的数值计算结果，该极限电流由纵向减速（由空间电荷力引起）和在速调型真空电子器件的长度上不同构造的传输束的平衡横向磁聚焦条件确定。设备工作时间的限制，估计了与电子整流子不稳定性的激发有关。将计算结果与使用准三维程序“ Arsenal-MSU”和其他研究人员建议的分析公式获得的数据进行比较。