One Dimensional Nonlinear Wake-fields Excited in a Cold Plasma by Charged Bunches

One dimensional nonlinear plasma wake-fields excited by a single bunch and by series of bunches are considered. Essential differences are brought to light between negatively charged bunch case and positively one. The bunches with nonuniform distributions of density are investigated. The obtained results show dependence of excited potential electric fields on bunches parameters and allows to choose these parameters optimal.