The dynamics of particles in a linear accelerator of ions on the base of alternating phase focusing with the moving center of a bunch

The version of the alternating phase focusing in an ion linear accelerator is discussed. It is based on a periodic shift of the bunch from the region of negative phases to that of positive ones and conversely, with a constant excess of the bunch center energy over the synchronous particle energy both in positive and negative phases. The compromise between the inconsistent requirements of radial and phase stability is achieved by the selection of phase shift deeps, the number of accelerating cells along the focusing and bunching regions, and by the excess of the bunch center energy over the synchronous particle energy. A high efficiency of this version is demonstrated by the example of calculations of the accelerating structure and beam dynamics of a linear accelerator of heavy ions with the high ratio of atomic mass to charge, A/q = 32