Approximate periodically focused solutions to the nonlinear Vlasov-Maxwell equations for intense beam propagation through an alternating-gradient field configuration

This paper considers an intense non-neutral ion beam propagating in the z direction through a periodic-focusing quadrupole or solenoidal field with transverse focusing force, -[κ_{x}(s)xe[over ^]_{x}+κ_{y}(s)ye[over ^]_{y}], on the beam ions. Here, s=β_{b}ct is the axial coordinate, (γ_{b}-1)m_{b}c^...

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Bibliographic Details
Main Authors: Ronald C. Davidson, Hong Qin, Paul J. Channell
Format: Article
Language:English
Published: American Physical Society 1999-07-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.2.074401