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Transverse Two-Stream Instability of a Beam with a Bennett Profile


A relativistic electron beam magnetically self-focused in a plasma is subject to an electrostatic hose instability. A linear theory of hose growth is formulated taking into account nonlinear focusing of the beam and collisionless damping due to a plasma gradient. Theory is compared to particle-in-cell simulations of three-dimensional transport of a beam with a Bennett profile, through a broad uniform plasma, as well as a plasma channel matched to the beam.

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