Title :
Properties of the longitudinal equilibrium distribution in a storage ring
Author_Institution :
SLAC, Stanford Univ., CA, USA
Abstract :
General properties of the longitudinal equilibrium distribution of a simple model storage ring are discussed using a mapping algorithm for means and correlations of a Gaussian distribution function. The maps for synchrotron oscillations, stochastic excitation, radiation damping, and a general localized perturbation are calculated analytically. The fixed point of the concatenated maps is used to characterize the equilibrium distribution.<>
Keywords :
particle beam diagnostics; storage rings; Gaussian distribution function; concatenated maps; equilibrium distribution; localized perturbation; longitudinal equilibrium distribution; mapping algorithm; radiation damping; stochastic excitation; storage ring; synchrotron oscillations; Concatenated codes; Contracts; Damping; Electrons; Gaussian distribution; Linear accelerators; Stochastic processes; Storage rings; Synchrotron radiation; Tellurium;
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
DOI :
10.1109/PAC.1991.164319
