The motion of a charged particle in the field of a frequency-modulated electromagnetic wave and in the constant magnetic field

In this article the problem on the motion of a charged particle in the field of frequency-modulated electromagnetic wave and in the external uniform static magnetic field has been analyzed; the exact solutions of the corresponding equations have been presented. This problem is of great importance to study the interaction of high-intensity laser pulses with solid targets and to develop practically multifrequency lasers and the laser-modulation emission technology. The formulae for the mean kinetic energy of a relativistic charged particle as a function of initial conditions, electromagnetic wave amplitude, wave intensity and its polarization parameter were obtained. The different cases of initial conditions of a charged particle motion and of a wave polarization were investigated. The obtained results can be put to use when studying the high-temperature plasma formed on the surface of the target and when searching for new modes of laser- plasma interaction