Analytical Solution for Space-Charge Waves in a Two-Stream Cylindrical Electron Beam
arXiv:2209.14451 · doi:10.1109/TPS.2023.3249570
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.
arXiv comment11 pages, 9 figures
References in corpus (5)
- Low Starting Electron Beam Current in Degenerate Band Edge Oscillators
- Multi-transmission-line-beam interactive system
- Exceptional Degeneracies in Traveling Wave Tubes with Dispersive Slow-Wave Structure Including Space-Charge Effect
- A New Amplification Regime for Traveling Wave Tubes with Third Order Modal Degeneracy
- Exceptional points of degeneracy in traveling wave tubes