Generation and Propagation of Nonlinear Waves in Travelling Wave Tubes
Stephan I. Tzenov
Abstract
The generation and evolution of nonlinear waves in microwave amplifiers such as travelling wave tubes, free electron lasers and klystrons have been studied. The analysis is based on the hydrodynamic and field equations for the self-consistent evolution of the beam density distribution, the current velocity and the electromagnetic fields. A system of coupled nonlinear Schrödinger equations for the slowly varying amplitudes of interacting beam-density waves has been derived. Under the approximation of an isolated mode neglecting the effect of the rest of the modes, this system reduces to a single nonlinear Schrödinger equation for that particular mode.
Create a lesson
Related papers
Physics of stabilization and dynamic control of CW magnetrons for superconducting accelerators
G. Kazakevich, R. P. Johnson, I. Gonin et al.
AloHEP Software: A luminosity optimizer for High Energy Physics colliders
Burak Dagli, Yigitali Karaca
Development of a continuous-wave photocathode very-high-frequency electron gun for S3FEL
Lianmin Zheng, Yitong Duan, Yuanyuan Qin et al.
Limits on energy recovery for positron acceleration in a warm plasma column
Max Varverakis, Spencer Gessner, Severin Diederichs et al.
Construction of Approximate Invariants Across Nonlinear Resonances
Yongjun Li, Derong Xu, Yue Hao et al.
Effect of transition layer on wakefield in plasma waveguide
Peter Markov, Kostyantyn Galaydych, Gennadiy Sotnikov