Simulating longitudinal phase space in the SLC, from the damping rings to the final focus

Abstract

At high currents the longitudinal phase space of the SLC beam is not simply described by gaussian distributions in both position and energy. The distorted ring beam, the curvature of the compressor rf, the limited energy aperture of the RTL, the wakefields in the linac, and the momentum compaction in the arc all contribute to some extent to a distortion of longitudinal phase space. In this paper we present simulation results that describe the phase space of the SLC beam, from the damping rings to the final focus area, and that include all these distorting effects. From bunch length measurements in the SLC it was discovered that the damping ring beam is lengthened and is clearly not gaussian. One author describes a potential well calculation for the ring bunch shape that agrees remarkably well with the measurements. These calculated shapes are the starting point for the simulations described in this paper. These initial distributions are propagated through the RTL, then the linac, and then the arcs. We will address questions of the bunch shape, beam tilt, beam loss, and tail population at the end of the RTL. Following this we discuss the energy spectrum at the end of the linacmore » and the bunch shape when the beam reaches the final focus. Finally, in Appendix A we describe a method of measuring the bunch shape and the induced voltage in the SLC linac. 22 refs., 9 figs.« less