Abstract
The nonlinear space charge effect of a bunched beam with Gaussian type longitudinal distribution is discussed in this paper. Some useful formulae are derived for calculating the potential induced by a cylinder model of space charge in the waveguide of a linac with longitudinal density distribution of Gaussian type combining with transverse density distributions of Kapchinskij-Vladimirskij, waterbag, parabolic and Gaussian types, respectively.
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