Stabilizing the intensity of a wave amplified by a beam of particles |
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| Authors: | R Bachelard A Antoniazzi C Chandre D Fanelli X Leoncini M Vittot |
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| Institution: | 1.Centre de Physique Théorique (Unité Mixte de Recherche (UMR 6207) du CNRS, et des universités Aix-Marseille I, Aix-Marseille II et du Sud Toulon-Var; Laboratoire affilié à la FRUMAM (FR 2291); Laboratoire de Recherche Conventionné du CEA (DSM-06-35).) , CNRS Luminy,Marseille Cedex 9,France;2.Dipartimento di Energetica and CSDC,Università di Firenze,Firenze,Italy;3.Department of Cell and Molecular Biology,Karolinska Institute,Stockholm,Sweden;4.Physique des Interactions Ioniques et Moléculaires, CNRS-Université de Provence,Marseille,France |
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| 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 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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| Keywords: | 94 20 Wj Wave/particle interactions 05 45 Gg Control of chaos applications of chaos 11 10 Ef Lagrangian and Hamiltonian approach |
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