Current Limitations for the Axially Symmetric Hollow Electron Beam in the Drift Tubes of Millimeter Wave Vacuum Electronic Devices
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 klystrontype 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 quasi3D Arsenal-MSU computer code and by the approximate analytical formulas of other authors.