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arXiv · 1905.03373

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

Gang Wang
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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.

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Gang Wang. 2019-05-08. On the Evolution of Ion Bunch Profile in the Presence of Longitudinal Coherent Electron Cooling. https://doi.org/10.1103/physrevaccelbeams.22.111002

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