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The equilibrium of sheared, rippled, magnetically focused beams of relativistic charged particles

Published online by Cambridge University Press:  13 March 2009

S. Cuperman
Affiliation:
School of Mathematical Sciences, Astronomy Unit, Queen Mary College, London, U.K.
D. Zoler
Affiliation:
School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

Abstract

The (usually neglected) effect of shear on the equilibrium of rippled, magnetically focused beams of relativistic charged particles is investigated analytically in the cold-fluid approximation. Closed expressions for the beam-related parameters and magnetic and electric fields are derived. The results obtained in this work represent the basis for the stability analysis of sheared rippled beams that is required, for example, for beam stabilization and generation of free-electron laser devices.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

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