Computer Simulation-Trends in Highly Nonlinear Physics 5. 3. Microscopic Nonlinear Phenomena. 3-2 Nonlinear Wave-Particle Interaction.

Nonlinear Three Wave Interaction

. . . . . . . . Manuscript . . . . . . . . Acknowledgements . . . . . . References . . . . . . . . . Figures Captions . . . . . . Figures . . . . . . . . . . ii 2 9 . . . 10 . . . 12 . . . 13 Spatiotemporal Chaos in the Nonlinear Three Wave Interaction Carson C. Chow, A. Bers and A.K. Ram Plasma Fusion Center and Research Laboratory of Electronics Massachusetts Institute of Technology Cambridge...

Nonlinear Wave Phenomena in Coasting Beams

In beams which are suf®ciently close to the linear stability limit, a variety of nonlinear wave phenomena are readily observed which can be used to diagnose aspects of the beam dynamics and the machine impedance. We have found that debunched beams in both the Fermilab Main Ring and the Tevatron are marginally stable to longitudinal oscillations and exhibit nonlinear three-wave coupling as well ...

Effect of nonlinear wave–particle interaction on electron-cyclotron absorption

We perform a self-consistent analysis of the nonlinear interaction of magnetized plasmas with electron-cyclotron (EC) waves. A closed set of equations is derived, which consists of the relativistic equations of motion under the wave field and the wave equation for the vector potential. The plasma is described in terms of ensembles of electrons which collectively determine the evolution of the w...

PART 3 Nonlinear Systems

Nonlinear phenomena in beamforming

In this paper we present a summary of nonlinear system level problems in beamforming. The paper summarizes first the nonideal phenomena in power amplifiers, mixers, and oscillators. In digital predistortion inversion of the nonlinearity is needed. Not all linear and nonlinear systems are invertible or they may have only a preinverse or postinverse. Commutation is needed in indirect learning arc...