Dispersion and space charge
作者:
Marco Venturini,
Rami A. Kishek,
Martin Reiser,
期刊:
AIP Conference Proceedings
(AIP Available online 1998)
卷期:
Volume 448,
issue 1
页码: 278-285
ISSN:0094-243X
年代: 1998
DOI:10.1063/1.56748
出版商: AIP
数据来源: AIP
摘要:
The presence of space charge affects the value of the dispersion function. On the other hand dispersion has a role in shaping the beam distribution and therefore in determining the resulting forces due to space charge. In this paper we present a framework where the interplay between space charge and dispersion for a continuous beam can be simultaneously treated. We revise the derivation of a new set of rms envelope-dispersion equations we have recently proposed in [1]. The new equations generalize the standard rms envelope equations currently used for matching to the case where bends and a longitudinal momentum spread are present. We report a comparison between the solutions of the rms envelope-dispersion equations and the results obtained using WARP, a Particle in Cell (PIC) code, in the modeling of the Maryland Electron Ring. ©1998 American Institute of Physics.
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