A general analysis of the electromagnetic wake-fields due to a relativistic electron beam moving through a cold plasma
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Detailed electromagnetic analysis of the wake-field accelerator is presented. Particular attention is given to the two-dimensional dynamics model to understand how the wake-field affects the self-consistent radial dynamics of the beam. The corrent fields, in zeroth and first order, are obtained by using Fourier transform in the radial field. The self-focusing of the driving beam in a plasma is a result of the transverse wake. The ratio of the transverse wake-field to the longitudinal wake-field within the beam is calculated for small and large radii beams.
PACS 52.40.MjParticle beam interactions in plasma (including intense charged-particle beams)
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- M. Abramowitz andI. A. Stegun (Editors):Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics, Series No. 55 (U.S. Government Printing Office, Washington, D.C. 20402, 1964), p. 374.Google Scholar