In the second part of the article, the electric field distribution, electron beam trajectories, and their focal parameters are calculated using the known analytical expressions to determine the plasma boundary position relative to the cathode surface. The sequential upper relaxation method, the current tube method, the fourth-order Runge–Kutta method, and extreme analysis numerical methods are used to determine the electric field distribution in the electrode system, to calculate the spatial charge, to calculate the electron trajectories in the free drift region in the anode plasma, and to estimate the thickness of the electron beam in focus, respectively. The iterative calculation relations for the electric field distribution and electron beam trajectories are expressed as arithmetic-logical expressions and recurrence matrices to simplify program code implementation. The obtained relative difference between calculated and experimental data for the thickness of the electron beam in focus doesn’t exceed 15–20%. The theoretical and experimental results obtained are important for further engineering development of electron beam technological equipment intended for industrial use.
Melnyk et al. (2024) studied this question.