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A grid-projectional method of self-consistent electron beams simulation. (Russian. English summary) Zbl 1018.78007

In problems of planning and analysis of physical experiments in impulse energetics it is necessary to investigate motion of high-power electron beams inside of technological apparatus. For all that it is required to take into account both the nonlinear processes of self-consistence of the beam dynamics in an electromagnetic field and a geometrical shape of the objects. On the base of Galerkin’s method a numerical algorithm appropriate to a simulation of the propagation of high-energetic relativistic electron beams in technological devices is developed. A direct solution of the Vlasov-Maxwell system of equations by means of its approximation using a fixed grid mesh in the phase space is the base of the algorithm. An hierarchy of the discrete models – 1D, 1,5D, 2D – is proposed and the corresponding conservative grid-projectional schemes are constructed and investigated. Some numerical results are presented which show a good accuracy of the algorithm.

MSC:

78M25 Numerical methods in optics (MSC2010)
78A35 Motion of charged particles
81V10 Electromagnetic interaction; quantum electrodynamics
78A25 Electromagnetic theory (general)
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