Title :
The Gaussian approximation for a purely inductive wake function
Author :
Demma, T. ; Hirata, Kazufumi
Abstract :
The equilibrium bunch length in electron storage rings with a purely inductive localized wake function has been studied, assuming the Gaussian approximation of the distribution function in phase space. The localized wake describes more general cases, even uniformly distributed wakes, described by the Haissinski equation. The comparison of our results with those obtained from Haissinski equation shows good agreement and helps understanding the validity of the Gaussian approximation.
Keywords :
Gaussian distribution; electron accelerators; particle beam bunching; particle beam diagnostics; storage rings; Gaussian approximation; Haissinski equation; distribution function; electron storage rings; equilibrium bunch length; inductive wake function; localized wake function; phase space; Distribution functions; Electromagnetic forces; Electrons; Equations; Gaussian approximation; Potential well; Stability analysis; Stochastic processes; Storage rings; Synchrotrons;
Conference_Titel :
Particle Accelerator Conference, 2003. PAC 2003. Proceedings of the
Print_ISBN :
0-7803-7738-9
DOI :
10.1109/PAC.2003.1289792
