TY - GEN
T1 - Analytical studies of ion beam evolution under coherent electron cooling
AU - Wang, G.
AU - Litvinenko, V. N.
AU - Blaskiewicz, M.
N1 - Publisher Copyright:
Copyright © 2016 CC-BY-3.0 and by the respective authors.
PY - 2016
Y1 - 2016
N2 - In the presence of coherent electron cooling (CeC), the evolution of the longitudinal 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 finite diffusion, we solved the 1-D Fokker-Planck equation numerically and the numerical solutions have been used to benchmark our simulation code as well as providing fast estimations of the cooling effects.
AB - In the presence of coherent electron cooling (CeC), the evolution of the longitudinal 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 finite diffusion, we solved the 1-D Fokker-Planck equation numerically and the numerical solutions have been used to benchmark our simulation code as well as providing fast estimations of the cooling effects.
UR - https://www.scopus.com/pages/publications/85015263497
M3 - Conference contribution
AN - SCOPUS:85015263497
T3 - IPAC 2016 - Proceedings of the 7th International Particle Accelerator Conference
SP - 1247
EP - 1249
BT - IPAC 2016 - Proceedings of the 7th International Particle Accelerator Conference
PB - Joint Accelerator Conferences Website (JACoW)
T2 - 7th International Particle Accelerator Conference, IPAC 2016
Y2 - 8 May 2016 through 13 May 2016
ER -