Title :
Simulations of the the longitudinal instability in the new SLC damping rings
Author :
Bane, K.L.F. ; Oide, K.
Author_Institution :
Stanford Linear Accel. Center, Stanford Univ., CA, USA
Abstract :
In the present paper we repeat the exercise of an earlier paper but with a new wakefield. The impedance which used to be inductive has become resistive, leading to different phenomena. In a recent paper the instability in a purely resistive ring is analyzed using a Vlasov equation approach. It is demonstrated that such an instability is a weak instability, with a growth rate proportional to intensity squared, and one that can be described as the coupling of two quadrupole modes with different radial mode numbers. We will compare our results with this paper
Keywords :
Vlasov equation; colliding beam accelerators; electron accelerators; linear colliders; particle beam stability; storage rings; SLC damping rings; Vlasov equation; growth rate; longitudinal instability simulations; purely resistive ring; quadrupole modes coupling; radial mode numbers; wakefield; weak instability; Compaction; Current measurement; Damping; Equations; Impedance; Particle beams; Particle tracking; Potential well; Synchrotrons; Voltage;
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
DOI :
10.1109/PAC.1995.505799
