Configuration of the thermal gap in magnetron-injection guns complying with the hydrodynamic flow model

Abstract

An exact solution of the exterior problem for a planar magnetron is constructed in the case of emission limited by the temperature and the space charge. The configuration of the lateral cathode surface and the electrode with a negative potential, which form a profiled thermal gap, is calculated. In contrast to an arbitrary geometry of the electrode in this region, this configuration does not violate the adopted hydrodynamic flow model. The case of a planar diode with the T-mode emission is also studied.