Abstract
A theoretical analysis of the formation of longitudinal and transverse emittance of bunches of charged particles in photoguns under the action of repulsive Coulomb fields is carried out. Numerical calculations have been performed to compare the characteristics of cylindrical and arbitrary-shape bunches with a uniform and Gaussian distribution of the charge density over the bunch volume. The problem of transverse dynamics of non-axisymmetric bunches is solved analytically. Comparison of the efficiency of the proposed numerical-analytical model with calculations using the Astra code is carried out. The obtained theoretical and numerical results can be useful in designing photoguns and choosing the optimal values of the parameters that determine the main characteristics of photoinjectors.
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