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

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.

References in corpus (3)

• Statistical mechanics and Vlasov equation allow for a simplified hamiltonian description of single pass free electron laser saturated dynamics
• Control of stochasticity in magnetic field lines
• Reducing or enhancing chaos using periodic orbits

Cited by in corpus (5)

• Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems
• Stationary states and fractional dynamics in systems with long range interactions
• Out of Equilibrium Solutions in the $XY$-Hamiltonian Mean Field model
• Stabilizing the intensity for a Hamiltonian model of the FEL
• Chaos in free electron laser oscillators