Generation and Propagation of Nonlinear Waves in Travelling Wave Tubes
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 selfconsistent 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 beamdensity 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.
 Publication:

arXiv eprints
 Pub Date:
 June 2005
 DOI:
 10.48550/arXiv.physics/0506226
 arXiv:
 arXiv:physics/0506226
 Bibcode:
 2005physics...6226T
 Keywords:

 Accelerator Physics;
 Plasma Physics;
 Pattern Formation and Solitons
 EPrint:
 6 pages, No figures