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An analysis of the plane influence separating the interaction space from the electron beam-forming region is made by the particle-particle simulation method with the delay effect. During the simulation, it was shown that the boundary conditions on the surface have a significant effect on the electron beam dynamics in a longitudinal magnetic field and affect the time of formation of the virtual cathode and the particle velocity in the interaction space.

Peculiar properties of the electron beam dynamics simulation by particle-particle methods taking into account delay effects