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General wave equation in the electrostatic approximation
Proceedings Particle Accelerator Conference
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Equilibria of high-current electron beams in an axial magnetic field are considered at the base of the approach [1] for the two cases of shielded and immersed cathodes. A general wave equation in the electrostatic approximation, which is valid in any selfconsistent equilibrium, was derived under the only assumption of constancy of full particle energy. This equation supplements general steady state equation [1] and allows to consider different equilibria and their wave properties in closed manner.
doi:10.1109/pac.1995.505852
fatcat:dqustkja2bhcrl27tcno2e4w3e