Title :
Theoretical model of longitudinal relaxation oscillations induced by HOMs
Author :
Sebek, J. ; Limborg, C.
Author_Institution :
SSRL-SLAC, Stanford, CA, USA
Abstract :
Taking advantage of the vastly different time scales of the problem, a simple analytical model of the relaxation oscillations has been developed. First a continuous approximation of the impulsive discrete forces is made. Then only the synchronous components of the force are retained to describe the slowly varying amplitude and frequency of the relaxation oscillation. A two particle version of this model reproduces the main characteristics of the system
Keywords :
accelerator cavities; particle beam stability; storage rings; continuous approximation; higher order modes; impulsive discrete forces; longitudinal relaxation oscillations; slowly varying amplitude; Character generation; Computer hacking; Contracts; Damping; Equations; Linear particle accelerator; Oscillators; Storage rings; Synchrotrons; Virtual manufacturing;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.792218
