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The paper considers the diocotron instability arising in relativistic beams in crossed fields. Using analytical and numerical models, a degree of instability growth is analyzed at different beam parameters and external crossed fields' intensity. The shape of the extended electron beam is analyzed after the excitation of the instability in it.
Created a hardware and software system employing the spatial optimization and parallelization for the simulation of relativistic and non-relativistic electron beams with arbitrary orientation of the external fields. The model is based on the implementation of large-particle method and calculation of spacecharge forces by the "particle-particle" with regard of delay.
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