Title :
Robinson instability and longitudinal mode coupling
Author :
Wang, Tai-Sen F.
Author_Institution :
Los Alamos Nat. Lab., NM, USA
Abstract :
K.W. Robinson´s (1956) stability conditions for a beam-cavity interaction system in a synchrotron or a storage ring are rederived by using F.J. Sacherer´s (1977) integral equation. The relation between the maximum stable beam current and the cavity detuning is reproduced with a correction to account for the equilibrium phase-space distribution of beam particles. The coupling between the longitudinal dipole and quadrupole modes is also studied. It is found that the coupling modifies Robinson´s stability conditions significantly in the small cavity detuning region
Keywords :
particle beam diagnostics; storage rings; synchrotrons; Robinson instability; beam particles; beam-cavity interaction system; cavity detuning; dipole modes; equilibrium phase-space distribution; longitudinal mode coupling; maximum stable beam current; quadrupole modes; stability conditions; storage ring; synchrotron; Circuit stability; Equivalent circuits; Integral equations; Laboratories; Particle beams; Q factor; Radio frequency; Resonant frequency; Synchrotrons; Voltage;
Conference_Titel :
Particle Accelerator Conference, 1989. Accelerator Science and Technology., Proceedings of the 1989 IEEE
Conference_Location :
Chicago, IL
DOI :
10.1109/PAC.1989.73381
