Title :
On the longitudinal stability of cooled coasting ion beams
Author :
Nagaitsev, Sergei
Author_Institution :
Cyclotron Facility, Indiana Univ., Bloomington, IN, USA
Abstract :
The longitudinal stability of intense, low momentum spread ion beams is of great interest today, especially in electron-cooled storage rings. Stability conditions are usually formulated as the limitations on the allowed value of beam-chamber coupling impedances. In the case of cooled beams, the effect of cooling can not be neglected if the cooling rate is comparable with the revolution frequency spread. The effect of the electron cooling can be described by the Fokker-Planck equation. In this paper we present a simple analytical method to derive dispersion relations for the longitudinal coasting beam instabilities using a perturbative approach. Numerical examples applied to 45 MeV protons in the IUCF cooling ring are presented
Keywords :
Fokker-Planck equation; beam handling techniques; ion beams; particle beam diagnostics; storage rings; 45 MeV; Fokker-Planck equation; IUCF cooling ring; coasting beam instabilities; coasting ion beams; dispersion relations; electron cooling; longitudinal stability; perturbative; storage rings; Cooling; Dispersion; Electrons; Equations; Frequency; Impedance; Ion beams; Optical coupling; Stability; Storage rings;
Conference_Titel :
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-1203-1
DOI :
10.1109/PAC.1993.309705
