INFLUENCE OF WAVE-DISPERSION ON THE SELF-CONSISTENT DYNAMICS OF CYCLOTRON-LASER-TYPE SYSTEMS

In this work, we make use of a Hamiltonian formalism to analyze the wa ve-particle dynamical interaction that takes place in cyclotronic syst ems. It is shown that the usual model of test particles moving in exte rnally given wave fields is good only when the amplitude of the radiat ion is large enough; otherwise, wave dynamics must be considered and t he dynamics mentioned undergoes some considerable changes. In this reg ard, the appearance of new fixed points and the saturation of the auto resonance process are both analyzed as functions of the dispersion rel ation of the laser field.