ABSTRACT
Because of the ultrahigh intensity of the laser field and the ultrashort duration of the laser pulse, the phase at which the electron experience the laser pulse will be important. All of the previous work of this model considered that the initial laser phase is zero. In this letter, we investigate the influence of the initial laser phase on the dynamics of the relativistic electron and its emission spectra. In the problem of free electrons interacting with intense laser field, different electron will enter the laser field at different time or different position, so in the initial position different electron will see different laser field phase. In this work we suppose that the initial position of the electrons is the same point (0,0,0), but the electrons enter the laser field at different time. 2. Formulation
Considering a relativistic electron with mass m and charge -e, in the simultaneous presence of an intense plane-wave laser field and a strong uniform magnetic field. The vector potential of the fields can be represented by
Figure 1. Projection of the electron trajectory of different initial laser field phase r/0 on the xy plate for circular polarization. It is plot over 450 field cycles with J30 = 0. q = 3 and X = 0.8//m , the magnetic field Bs = 30T .
