Title :
Microwave stability at transition
Author :
Holt, J.A. ; Colestock, P.L.
Author_Institution :
Fermi Nat. Accel. Lab., Batavia, IL, USA
Abstract :
The question of microwave stability at transition is revisited using a Vlasov approach retaining higher order terms in the particle dynamics near the transition energy. A dispersion relation is derived which can be solved numerically for the complex frequency in terms of the longitudinal impedance and other beam parameters. Stability near transition is examined and compared with simulation results
Keywords :
dispersion relations; particle beam dynamics; particle beam stability; Vlasov approach; higher order terms; longitudinal impedance; microwave stability; particle dynamics; transition energy; Analytical models; Damping; Dispersion; Equations; Frequency; Impedance; Laboratories; Numerical stability; Performance analysis; Resonance;
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
DOI :
10.1109/PAC.1995.505786