Title :
A new formulation of longitudinal coherent instabilities
Author :
Zhang, S.Y. ; Weng, W.T.
Author_Institution :
AGS Dept., Brookhaven Nat. Lab., Upton, NY, USA
Abstract :
The quadrature response of longitudinal impedance is shown to be the effective impedance for the beam instability. The results of the application of this formulation are compared with that obtained using the Robinson-Pedersen approach and the Sacherer integral equation. The formulation is further generalized to the rigid bunch motion using signal analysis method, where a form factor shows up naturally. Finally, the formulation is applied to solve the coupled bunch instabilities. Examples of the AGS Booster and the AGS coupled bunch instabilities are used to illustrate the applications of the formulation
Keywords :
beam handling techniques; particle beam diagnostics; proton accelerators; synchrotrons; AGS Booster; AGS coupled bunch instabilities; Robinson-Pedersen approach; Sacherer integral equation; beam instability; coupled bunch instabilities; effective impedance; form factor; longitudinal coherent instabilities; longitudinal impedance; quadrature response; rigid bunch motion; signal analysis method; Frequency modulation; Impedance; Integral equations; Laboratories; Motion analysis; RF signals; Radio frequency; Stability; Synchrotrons; Voltage;
Conference_Titel :
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-1203-1
DOI :
10.1109/PAC.1993.309620
