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Theoretical model of longitudinal relaxation oscillations induced by HOMs
By: Sebek, J.; Limborg, C.;
1999 / IEEE / 0-7803-5573-3
This item was taken from the IEEE Conference ' Theoretical model of longitudinal relaxation oscillations induced by HOMs ' 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.
Particle Beam Stability
Higher Order Modes
Longitudinal Relaxation Oscillations
Impulsive Discrete Forces
Linear Particle Accelerator
Slowly Varying Amplitude