Title :
Coupled bunch motion in large size rings
Author :
Morton, P.L. ; Ruth, R.D. ; Thompson, K.A.
Author_Institution :
SLAC, Stanford, CA, USA
Abstract :
The growth of the quasi-steady-state motion of the coupled bunch oscillations in storage rings has been studied by means of a normal mode analysis to determine the beam stability. In this type of analysis, the initial amplitude displacements of the bunches are first written as a sum of the normal modes of the multiple bunch system, and then the stability of each mode is determined. If the amplitude of all modes decay then the amplitude of all of the individual bunches must eventually decay, and the motion is considered stable. However, if the beat frequency between the different modes is sufficiently high, compared to the decay rate of the modes, it is possible for the amplitude of some of the bunches to grow temporarily before eventually decaying.<>
Keywords :
particle beam diagnostics; storage rings; beam stability; beat frequency; coupled bunch oscillations; multiple bunch system; normal mode analysis; particle beam diagnostics; quasi-steady-state motion; storage rings; Coupled mode analysis; Damping; Difference equations; Frequency; Linear accelerators; Motion analysis; Optical coupling; Particle beams; Stability analysis; Storage rings;
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
DOI :
10.1109/PAC.1991.164800
