2005/06/30 by Stephan I. Tzenov, Tzenov, Stephan I.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Gyrotron and Vacuum Electronics Research #Nonlinear Photonic Systems #nlin.PS #physics.acc-ph #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.physics/0506226
6 pages, No figures
arxiv created 2005/06/30 · arxiv updated 2009/12/01
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.