Analytical Solution for Space-Charge Waves in a Two-Stream Cylindrical Electron Beam Articles uri icon

authors

  • MEALY, TAREK
  • MAROSI, ROBERT
  • ROUHI, KASRA
  • CAPOLINO, FILIPPO

publication date

  • March 2023

start page

  • 675

end page

  • 686

issue

  • 3

volume

  • 51

International Standard Serial Number (ISSN)

  • 0093-3813

Electronic International Standard Serial Number (EISSN)

  • 1939-9375

abstract

  • We present an analytical method to compute the wavenumbers and electric fields of the space-charge-wave eigenmodes supported by a two-stream electron beam, consisting of a solid inner cylindrical stream and a coaxial outer annular stream, both contained within a cylindrical metallic tunnel. We extend the analytical model developed by Ramo to the case of two streams. The method accounts for the interaction between the two streams with the presence of the beam-tunnel wall; it can be used to model the complex wavenumbers associated with the two-stream instability and the plasma frequency reduction effects in vacuum electronic amplifiers and other vacuum electronic devices.

subjects

  • Chemistry

keywords

  • electron beams; bandwidth; vacuum electronics; solids; modulation; magnetic domains; magnetic confinement