Stabilizing the intensity for a Hamiltonian model of the FEL
Abstract
The intensity of an electromagnetic wave interacting self-consistently with a beam of charged particles, as in a Free Electron Laser, displays large oscillations due to an aggregate of particles, called the macro-particle. In this article, we propose a strategy to stabilize the intensity by destabilizing the macro-particle. This strategy involves the study of the linear stability of a specific periodic orbit of a mean-field model. As a control parameter - the amplitude of an external wave - is varied, a bifurcation occur in the system which has drastic effects on the self-consistent dynamics, and in particular, on the macro-particle. We show how to obtain an appropriate tuning of the control parameter which is able to strongly decrease the oscillations of the intensity without reducing its mean-value.
Keywords
Cite
@article{arxiv.0807.0286,
title = {Stabilizing the intensity for a Hamiltonian model of the FEL},
author = {R. Bachelard and C. Chandre and D. Fanelli and X. Leoncini and M. Vittot},
journal= {arXiv preprint arXiv:0807.0286},
year = {2015}
}