Simulation of a flat electron beam in cross fields

The majority of researches in the field of electron beams interaction with medium (solid targets, electromagnetic waves) are more or less directly connected with determining of an influence of space charge forces upon these beams. It is impossible to define the shape of electron beam and discover the conditions for subsiding electrons on electrodes during their movement without taking into account forces of interaction between electrons under static conditions. Under dynamic conditions, especially while interaction of electron beam with electromagnetic waves, a space charge leads to changing the conditions of electrons grouping, and it considerably have an influence on "precise" interaction effects, such as generating (or amplifying) of upper time harmonies of the main frequency, appearance of combination components in the spectrum of output signal due to cross modulation, etc. All mentioned above makes it necessary to study the behavior of electron beams taking into consideration the influence of a space charge fields