摘要
The nonlinear space charge effect of bunched beam with nonuniform densitydistribution in both longitudinal and transverse directions is discussed.Some usefulformulae are derived for calculating the potential induced by a cylinder model of spacecharge in the waveguide of a linac with longitudinal density distributions of waterbag(WB) or parabolic (PA) type combining with transverse density distributions ofKapchinskij-Vladimirskij (K-V).waterbag,parabolic and Gaussian (GA) types,resepectively.
The nonlinear space charge effect of bunched beam with nonuniform density distribution in both longitudinal and transverse directions is discussed.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 distributions of waterbag (WB) or parabolic (PA) type combining with transverse density distributions of Kapchinskij-Vladimirskij (K-V).waterbag,parabolic and Gaussian (GA) types, resepectively.
基金
the project supported by National Natural Science Foundation of ChinaNSFC
China Science Foundation of Nuclear Indusitry.
