Modeling of electron sources for high voltage glow discharge forming profiled electron beams

Abstract

The methodology of simulation of high voltage glow discharge electrodes’ systems with anode plasma, formed the profile electron beams with the ring-like focus, is considered in the article. The universality of proposed model is confirmed by the fact, that the slope angle of generatrix line of conic anode surface correspond to the axis of the electrodes system have been chosen as one of model parameters. Such novel solution has led to simulating the different types of electrodes’ systems, which form the profiled electron beams. The position of plasma boundary in considered high voltage glow discharge electrodes’ systems is firstly calculated on the basis of one-dimensional model of discharge gap, and after that recalculated with taking into account the real geometry of electrodes’ system. Such approach allows to significantly simplify the proposed mathematical model and to avoid using the sophisticated iteration numerical methods for defining plasma boundary form and position without decreasing the accuracy of simulation results. The results of simulation of plasma boundary position are compared with obtained experimental data and disagreement between simulation and experimental results is nearly 10–15%. The results of simulation of distribution of electric field in the cathode-fall region as well as results of simulation of distribution of beam current density in the ring-like focus of formed hollow electron beam are presented in the article. The simplicity and universality are the main advantages of the proposed model.