V.A. Syrovoy
RSPC All-Russian Electrotechnical Institute, Moscow, Russia

   The survey of calculational methods for multi-beam systems with interacting micro-beams is presented. This survey includes the theory of non-relativistic system with large-structure ruling drid; the theory of electrostatic relativistic injrctor wich triode-type potential distribution at the axis; the theory of one-layer molti-beam relativistic systems in external magnetic field with arbitrary orientation.

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