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

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dc.creatorBachelard, Romain
dc.creatorAntoniazzi, Andrea
dc.creatorChandre, Cristel
dc.creatorFanelli, Duccio
dc.creatorLeoncini, Xavier
dc.creatorVittot, Michel
dc.date2006-09-12
dc.date.accessioned2026-07-07T08:02:23Z
dc.date.available2026-07-07T08:02:23Z
dc.descriptionThe 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.
dc.identifierhttps://arxiv.org/abs/nlin/0609030
dc.identifierhttp://arxiv.org/abs/nlin/0609030
dc.identifierEuropean Physical Journal D 42 (2007) 125
dc.identifierdoi:10.1140/epjd/e2006-00276-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129218
dc.subjectChaotic Dynamics
dc.titleStabilizing the intensity of a wave amplified by a beam of particles
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