Influence of wave dispersion on the self-consistent dynamics of cyclotron-laser-type systems

Abstract

In this work, we make use of a Hamiltonian formalism to analyze the wave-particle dynamical interaction that takes place in cyclotronic systems. It is shown that the usual model of test particles moving in externally given wave 6elds is good only when the amplitude of the radiation is large enough; otherwise, wave dynamics must be considered and the dynamics mentioned undergoes some considerable changes. In this regard, the appearance of new Axed points and the saturation of the autoresonance process are both analyzed as functions of the dispersion relation of the laser field.