On the Evolution of Ion Bunch Profile in the Presence of Longitudinal Coherent Electron Cooling

Abstract

In the presence of longitudinal coherent electron cooling, the evolution of the line-density profile of a circulating ion bunch can be described by the 1-D Fokker-Planck equation. We show that, in the absence of diffusion, the 1-D equation can be solved analytically for certain dependence of cooling force on the synchrotron amplitude. For more general cases with arbitrary diffusion, we solved the 1-D Fokker-Planck equation numerically and the numerical solutions have been compared with results from macro-particle tracking.

References in corpus (2)

• Cooling Rate for Microbunched Electron Cooling without Amplification
• Microbunched Electron Cooling with Amplification Cascades

Cited by in corpus (1)

• Simulation of the transit-time optical stochastic cooling process in the Cornell Electron Storage Ring