Stabilizing the intensity of a wave amplified by a beam of particles

Details Stabilizing the intensity of a wave amplified by a beam of particles Stabilizing the intensity of a wave amplified by a beam of particles

2006-09-12

arxiv.org/abs/nlin/0609030v1

European Physical Journal D 42 (2007) 125

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1140/epjd/e2006-00276-x

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 re-shaping the macro-particle. This strategy involves the study of the linear stability (using the residue method) of selected periodic orbits of a mean-field model. As parameters of an additional perturbation are varied, bifurcations occur in the system which have drastic effect on the modification of the self-consistent dynamics, and in particular, of the macro-particle. We show how to obtain an appropriate tuning of the parameters which is able to strongly decrease the oscillations of the intensity without reducing its mean-value.

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