Bunching of Intense Proton Beams with Six-Dimensional Matching to the Linac Acceptance

A method has been developed for the determination of bunching parameters in the frame of a six-dimensional beam-matching to the linac acceptance. In the absence of space charge, initial solutions for the buncher distance, voltage and efficiency, which satisfy the matching requirements, are found analytically or with ancillary computer programs. Then an iterative calculation is applied to solve the more general bunching problem in the presence of space charge. In the above-mentioned analysis, the beam is represented as an entity, described by the second momenta of particle coordinates and velocities. All the forces are linearized; the evolution of r.m.s. values depends primarily on the linear force component.