Title: An exact solution of the space charge problem for the motion of a spherically symmetric beam in a homogeneous electric field.
Authors: Perepelkin, E.; Repnikova, N.; Inozemtseva, N.
Abstract: We obtain an exact solution of the space charge problem for a uniformly charged ball moving in an exterior constant homogeneous electric field. The results obtained can be used as tests in the numerical simulation of the effect of a space charge of actual beams and for estimating the accuracy of the numerical methods used in the solution of the space charge problem.
Subjects: SPACE charge; ELECTRIC fields; ION beams; CHARGED particle accelerators; NEWTON'S second law of motion; CAUCHY problem; DISTRIBUTION (Probability theory)
Publication: Mathematical Notes, 2015, Vol 98, Issue 3/4, p448
ISSN: 0001-4346
Publication type: Academic Journal
DOI: 10.1134/S0001434615090102

An exact solution of the space charge problem for the motion of a spherically symmetric beam in a homogeneous electric field.

Perepelkin, E.; Repnikova, N.; Inozemtseva, N.