Title :
Longitudinal instability due to the randomness of higher mode frequencies of RF cavity
Author :
Nam, Soon-Kwon ; Kim, T.Y.
Author_Institution :
Dept. of Phys., Kangwon Nat. Univ., Chunchon, South Korea
Abstract :
The resonance frequencies, shunt impedances and Q-values for the higher order modes in our designed cavity are calculated by the computer codes URMEL and MAFIA. The longitudinal instabilities for the higher order modes are calculated by the eigenmode analysis of Sacherer´s (1977) integral equation. The growth rates and the tune shifts in the electron storage ring are calculated by considering the randomness of the higher mode frequencies of a cavity due to the construction errors. The results with the construction errors are compared to those of without error cases for the dipole mode and quadrupole mode
Keywords :
accelerator cavities; eigenvalues and eigenfunctions; electron accelerators; particle beam stability; physics computing; storage rings; MAFIA; Q-values; RF cavity; Sacherer´s integral equation; URMEL; construction errors; dipole mode; eigenmode; electron storage ring; growth rates; higher mode frequencies; higher order modes; longitudinal instabilities; quadrupole mode; resonance frequencies; shunt impedances; tune shifts; Eigenvalues and eigenfunctions; Impedance; Integral equations; Radio frequency; Resonance; Resonant frequency; Statistical analysis; Storage rings; Structural beams; Voltage;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.750769
