Measurement and simulation of transverse Schottky noise with space charge

Abstract

The effect of moderate space charge on the transverse Schottky spectrum of a coasting beam is studied using measurements and simulations together with an analytic model. The measurements of transverse Schottky bands from heavy ion beams were performed in the SIS-18 synchrotron at GSI. In addition, we analyze the noise spectrum from a particle tracking code with self-consistent space charge. Both results are compared to an analytic model that is based on the dispersion relation for linear space charge forces and chromatic betatron tune spreads. The analytic model reproduces the characteristic deformation of Schottky bands with increasing space charge, observed in both measurement and simulation.