Upper-hybrid oscillations of high current relativistic electron beam under conditions of magnetic self-insulation

Upper-hybrid oscillations have appeared in a number of theoretical and experimental investigations of quasi-static neutral plasmas immersed in an external strong magnetic field. We theoretically demonstrate the existence of upper-hybrid oscillations (UHOs) on high current relativistic electron beam...

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Bibliographic Details
Published in:Physics of plasmas 2024-07, Vol.31 (7)
Main Authors: Ilyenko, K., Yatsenko, T., Vekslerchik, V., Opanasenko, A., Portillo, S.
Format: Article
Language:English
Subjects:
Elliptic functions
High current
High power microwaves
Laboratories
Nonlinear dynamics
Oscillations
Particle beams
Relativistic effects
Relativistic electron beams
Relativistic particles
Relativistic plasmas
Relativistic theory
Transmission lines
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Summary:Upper-hybrid oscillations have appeared in a number of theoretical and experimental investigations of quasi-static neutral plasmas immersed in an external strong magnetic field. We theoretically demonstrate the existence of upper-hybrid oscillations (UHOs) on high current relativistic electron beam (non-neutral plasma) of Magnetically (self-)Insulated transmission Line Oscillator (MILO), which is a promising source of gigahertz-frequency, high power microwave radiation under development in a number of research laboratories. We study the non-linear autonomous system of equations governing MILO high current beam dynamics, build a first integral, which is the total relativistic energy of the non-linear perturbations of charged-particle beam in motion, and derive an explicit solution for this system in terms of elliptic integrals and Jacobi elliptic functions. The period of non-linear UHOs in a non-equilibrium relativistic plasma is derived in a closed analytical form.
ISSN:1070-664X
1089-7674
DOI:10.1063/5.0206628