Coupled bunch motion in large size rings

Author

Morton, P.L. ; Ruth, R.D. ; Thompson, K.A.

Author_Institution

SLAC, Stanford, CA, USA

fYear

1991

fDate

6-9 May 1991

Firstpage

1854

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/PAC.1991.164800

Filename

164800