Title :
A saw tooth instability model in storage rings
Author :
Migliorati, M. ; Palumbo, L. ; Dattoli, G. ; Mezi, L.
Author_Institution :
Dipt. di Energetica, Rome Univ., Italy
Abstract :
The time evolution of the energy spread above the microwave instability threshold in a storage ring is described by means of two coupled nonlinear differential equations. The results are in agreement with a time domain simulation code. The model equations are combined to those accounting for the storage ring free electron laser dynamics, in order to study the interplay between the FEL and the storage ring instability dynamics
Keywords :
electron accelerators; free electron lasers; high energy physics instrumentation computing; nonlinear differential equations; particle beam dynamics; particle beam stability; sawtooth instability; storage rings; FEL; coupled nonlinear differential equations; energy spread; free electron laser dynamics; microwave instability threshold; saw tooth instability model; storage rings; time domain simulation code; time evolution; Damping; Distribution functions; Equations; Free electron lasers; Impedance; Laser modes; Oscillators; Storage rings; Surface acoustic waves; Teeth;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.795501
