Image Effects on the Transport of Intense Nonaxisymmetric Charged Beams

Details Image Effects on the Transport of Intense Nonaxisymmetric Charged Beams Image Effects on the Transport of Intense Nonaxisymmetric Charged Beams

2007-12-14

arxiv.org/abs/0712.2416v1

Physics

Plasma Physics

Accepted in Applied Phys. Lett

Scientific paper

10.1063/1.2827580

The effect of conducting pipes on the equilibrium of intense nonaxisymmetric continuous beams of charged particles is investigated. For a cylindrical pipe and an elliptical beam, we obtain an exact closed form analytical expression for the electrostatic potential. Using a variational principle, we then explore the distortions that equilibrium beams suffer due to the conducting channel. Finally, we present an exact proof that despite the nonlinear forces acting on beams of arbitrary cross section inside conducting pipes of arbitrary shape, the density of these beams remains homogeneous and their cross sectional area remains the sa me as the one in free-space.

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