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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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
ELECTRON BEAMS,
DISPERSION RELATIONS,
SPACE CHARGE,
BEAM BUNCHERS,
STORAGE RINGS,
BEAM EMITTANCE,
HAMILTONIAN FUNCTION,
cyclic accelerators,
particle beam stability,
computer aided analysis,
particle beam dynamics
- 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
0094-243X (print)
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