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Electromagnetic (Darwin) model for three-dimensional perturbative particle simulation of high intensity beams

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4 Author(s)
Lee, W.W.L. ; Plasma Phys. Lab., Princeton Univ., NJ, USA ; Startsev, E. ; Hong Qin ; Davidson, R.C.

A nonlinear perturbative (δf) electromagnetic particle simulation scheme has been developed for studying the propagation of intense charged particle beams in high-intensity accelerators and transport systems. The scheme is based on the Darwin approximation of Ampere's law, in which the transverse displacement current is neglected, resulting in the elimination of high-frequency transverse electromagnetic effects and, consequently, the associated numerical restrictions in the simulations. In this paper, a novel approach of replacing the mechanical momentum, p, by the canonical momentum, P = p + qA/c, in the equations of motion is used for the purpose of eliminating the numerically troublesome ∂A/∂t term. The present scheme, cast in the δf formalism, is ideal for studying two-stream and filamentation instabilities, which may cause deterioration of the beam quality in heavy ion fusion drivers and the fusion chamber

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Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001  (Volume:3 )

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