Abstract
The linear theory of the two-beam instability of weak gyrating beams is investigated. Maximum growth rates of instabilities, instability limits and frequencies of unstable waves are numerically determined. The aperiodic instability withk zν z0=ω c(ν z0 is the velocity of the beam along the magnetic field,ω c is the cyclotron frequency andk z is the longitudinal wave number) and the instability withω=ω c/2 and withk zν z0=ν c/2 possess greatest growth rates. Dependence of growth rates on longitudinal and transversal components of the wave vector is investigated in detail.
Similar content being viewed by others
References
Etiévant C., Olivain J., Perulli M.: C. R. Acad. Sc. Paris261 (1965), 3310;262 (1966), 1425.
Olivain J.: Rapport CEA-R3075, Fontenay aux Roses, 1966.
Seidl M., Šunka P.: Phys. Letters11 (1964), 31.
Jungwirth K., Preinhaelter J.: Czech. J. Phys.B 16 (1966), 228.
Canobbio E.: Nuclear Fusion6 (1966), 207.
Kopecký V., Preinhaelter J., Václavik J.: Czech. J. Phys.B 16 (1966), 767.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kopecký, V., Preinhaelter, J. Instability of two counter-streaming gyrating beams of electrons. Czech J Phys 22, 58–66 (1972). https://doi.org/10.1007/BF01690946
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01690946