Simulation of the required operation modes and analysis of their stability for multipurpose isochronous cyclotrons

A mathematical and computer simulation of the operation modes of multipurpose isochronous cyclotrons is based on a calculation of current values in trim coils correcting the main magnetic field (I i , i = 1, 2, ..., n) for a certain current level in the main coil (I mc). This calculation is performed for the given kinetic energy (E k ) at a certain radius or for the particle orbital frequency (F 0). The results of this calculation provide a formation with the necessary precision of the required magnetic field in the range from the ion source to the particle extraction system. A number of numerical and physical experiments on calculating the main operation mode of the multipurpose isochronous cyclotron AIC-144 (Institute of Nuclear Physics, Polish Academy of Sciences, Krakow) (p, E k = 60 MeV, F 0 = 26.25 MHz) proved the necessity of taking into account the estimate of the stability of the sought solution and the possibility of obtaining accelerated ion beams in the whole range of acceleration radii for small phase losses in the isochronization range of the required magnetic field.