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arXiv · 1907.01391

Amplification of coupled nonlinear oscillations of charged particle beam in crossed magnetic fields

Abstract

A non-relativistic, charged-particle beam is placed into a crossed magnetic field. For such a system, the nonlinear electrostatic oscillations generation in the different degrees of the beam freedom may be triggered by the energy/momentum exchange between the beam's particles and these external fields. The influence of oscillation dynamics of these fields and beam have been studied based on the cold-fluid hydrodynamic description. As a result, the necessary conditions under resonant amplification of the beam's natural oscillations are identified. Present results demonstrate that the beam density increases when the amplitude of radial and axial velocities increase. This process decreases the radius of the beam over the course of time. The technical application of the process applies in real accelerators such as a gyrotrons, FELs, and cyclotrons, where transverse size is limited by the size of the vacuum chamber. Thus redistribution of energy between the external field and the kinetic energy of the beam can effectively accelerate the beam by using an external magnetic field. These fields with both axial and radial directions use further this beam as an effective light source by identifying the resonance frequency to improve stability, focus particles, and wave propagation.

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A. R. Karimov, A. M. Bulygin, P. A. Murad. 2019-06-28. Amplification of coupled nonlinear oscillations of charged particle beam in crossed magnetic fields. https://arxiv.org/abs/1907.01391

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