Calculation of the maximum stored beam current considering the phase noise of a generator RF signal

Synchrotron motion was numerically simulated to examine the maximum stored beam current, which is limited by beam loading. In addition to the machine operating parameters, the simulation considers the influence of the phase noise of a generator voltage on the maximum stored beam current. The computed result shows that increasing the phase noise level can reduce the maximum stored beam current and the reducing of the maximum stored current, due to an increase in the noise level, escalates with increasing the cavity voltage.