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Dispersion and space charge

AIP Conf. Proc. -- November 5, 1998 -- Volume 448, pp. 278-285
Workshop on space charge physics in high intensity hadron rings; doi:10.1063/1.56748

Issue Date: 5 November 1998

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Marco Venturini,1 Rami A. Kishek,2 and Martin Reiser2
1Department of Physics and Institute for Plasma Research, University of Maryland, College Park, Maryland 20742
2Department of Electrical Engeneering and Institute for Plasma Research, University of Maryland, College Park, Maryland 20742

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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KEYWORDS and PACS

Keywords
PACS
  • 29.27.Bd
    Experimental methods and instrumentation for elementary-particle and nuclear physics Beams in particle accelerators Beam dynamics; collective effects and instabilities
  • 29.27.Eg
    Experimental methods and instrumentation for elementary-particle and nuclear physics Beams in particle accelerators Beam handling; beam transport
  • 29.20.-c
    Experimental methods and instrumentation for elementary-particle and nuclear physics Cyclic accelerators and storage rings
  • YEAR: 1998

PUBLICATION DATA

ISSN:
0094-243X (print)  
Publisher:
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