Longitudinal Beam Dynamics for the Heavy-Ion Synchrotron Booster Ring at HIAF

Figure 6

RF voltage programs and of the RF cavity at different operating frequencies, , , and E during the whole process from capture to bunch merging. Black solid line and black short dash dot line are and of the main RF cavity with f = 1.79 MHz (h = 4), respectively. Red solid line and blue solid line are and , respectively. Beam capture: 0–0.02 s; acceleration: 0.02–0.1856 s; the 4 : 2 bunch merging: 0.1856–0.2106 s; the 2 : 1 bunch merging: 0.2106–0.2406 s.