The paper presents the description of a self-consistent difference scheme and numerical algorithm of a joint solution of Maxwell equations and equation of charged particle motion on a regular non-uniform mesh. The given algorithm is applied to calculate non-stationary electromagnetic processes in axially symmetric structures consisting of components with different electric and magnetic properties as well as to simulate numerically the processes of high-current electron beam shaping, acceleration and transportation. The example of the program use for the calculation of electron beam characteristics in a STRAUS-2 accelerator diode is given. The obtained coincidence of calculation and experimental data lies within the limits of ±10%.
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