| Paper | Title | Page |
|---|---|---|
| MOPPH022 | Control of the Intensity of a Wave Interacting with Charged Particles | 83 |
|
||
|
The interaction between a wave and a bunch of charged particles is encountered in many branches of applied physics ranging from particle accelerators to laser physics (Free Electron Laser). Generically, this self-consistent interaction leads to an exponential increase of the intensity of the wave, followed by an oscillating saturation. It is an interesting problem to regularize the saturated dynamics and thus improve the performance of the device. The aim of this paper is to show that it is possible to influence by external perturbation the dynamics of the particles in order to enhance the stability of the system resulting in a reduction of the oscillations of the waves. We apply a Hamiltonian control technique based on a small and apt modification of the potential to recreate or break up invariant (KAM) tori in phase space. We show that an appropriate tuning of the control parameters is able to reduce by an order of magnitude the amplitude of the oscillations without affecting the total power of the wave. This technique has been successfully implemented on a Travelling Wave Tube in the test-particle regime*.
* C. Chandre et al., Phys. Rev. Lett. 94, 074101 (2005) |