Title :
Centroid and emittance of a kicked beam in rings
Author :
Wang, Chun-xi ; Irwin, John
Author_Institution :
Linear Accel. Center, Stanford Univ., CA, USA
Abstract :
We generalize the existing decoherence theory of a kicked beam to linearly uncoupled 4D transverse phase space. Analytical results for the beam centroid motion as well as beam emittance (i.e., 1st and 2nd order beam moments) are given. We formulate the problem in the language of one-turn map and normal form theory in order to emphasize the approximations used and facilitate further generalizations. We will not discuss the chromaticity decoherence factor, which can be found in the references
Keywords :
particle beam dynamics; particle beam stability; storage rings; beam centroid motion; beam emittance; beam moments; decoherence theory; kicked beam; linearly uncoupled 4D transverse phase space; normal form theory; one-turn map; storage rings; Damping; Jacobian matrices; Linear accelerators; Particle beams; Phase measurement; Resonance; Storage rings;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.749642
