Multi-transmission-line-beam interactive system
arXiv:1304.5397 · doi:10.1063/1.4832486
Abstract
We construct here a Lagrangian field formulation for a system consisting of an electron beam interacting with a slow-wave structure modeled by a possibly non-uniform multiple transmission line (MTL). In the case of a single line we recover the linear model of a traveling wave tube (TWT) due to J.R. Pierce. Since a properly chosen MTL can approximate a real waveguide structure with any desired accuracy, the proposed model can be used in particular for design optimization. Furthermore, the Lagrangian formulation provides for: (i) a clear identification of the mathematical source of amplification, (ii) exact expressions for the conserved energy and its flux distributions obtained from the Noether theorem. In the case of uniform MTLs we carry out an exhaustive analysis of eigenmodes and find sharp conditions on the parameters of the system to provide for amplifying regimes.
References in corpus (3)
Cited by in corpus (11)
- Giant Amplification in Degenerate Band Edge Slow-Wave Structures Interacting with an Electron Beam
- Low Starting Electron Beam Current in Degenerate Band Edge Oscillators
- 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
- Lagrangian Variational Framework for Boundary Value Problems
- Parametric Modeling of Serpentine Waveguide Traveling Wave Tubes
- Analytical Solution for Space-Charge Waves in a Two-Stream Cylindrical Electron Beam
- Small-Signal Model for Inhomogeneous Helix Traveling-Wave Tubes using Transfer Matrices
- Extension of Pierce model to multiple transmission lines interacting with an electron beam
- Three-Way Serpentine Slow-Wave Structures with Stationary Inflection Point and Enhanced Interaction Impedance