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Gaussian-profile beams

Authors: Lee, Edward P.;

Gaussian-profile beams

Abstract

The growth rate of the hose instability is derived for a beam with Gaussian radial profile, using the spread mass model of phase mix damping. It is found that the maximum growth rate of a convecting wave packet is 49% larger than that derived for a beam with the Bennett profile, and the inverse group velocity (dz/d tau) is also increased by about this amount. A general discussion of spread mass models is presented along with an explanation of the regurgitation phenomena seen in their numerical treatment.

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United States
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Keywords

43 Particle Accelerators, Hose Instability, Lepton Beams, Beams, Instability, Particle Beams, Plasma Microinstabilities 430200* -- Particle Accelerators-- Beam Dynamics, Electron Beams, Damping, Field Calculations, Instability Growth Rates, Pinch Effect, Plasma Instability, Current Density, & Ion Optics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average