Calculation of an ion beam evolution in a section of a linear accelerator with spatial-uniform quadrupole focusing on the base of the multilevel method of beam particle representation

Program simulating the dynamics of proton beam in spatial-uniform quadrupole channel is described. Results of some calculations are presented. Lienard-Wiechert potentials in combination with multilevel method of formation of macroparticle representing the beam were used for calculation of beam eigenfield. Formation of macroparticles of 2 and 3 levels is accomplished by group averaging of 1 level macroparticles simulating beam dynamics. This enables to reduce sufficienly the sizes of macroparticle exhaustion field required for counting and reduce the counting time. Calculation of longitudinal beam movement in spatial-uniform quadrupole channel is presented on model examples. 7 refs.; 3 figs