Application of Lorentz transformations for the spectral and angular distribution of electron radiation in a laser pulse

An analytical model for the generation of synchrotron and polarization radiation of a charged particle in the field of a one-dimensional circularly polarized laser pulse has been developed based on Lorentz invariant forms in 3 + 1 dimensions using limit transitions for the frequency of electron oscillations. The feature of the angular distribution for the total power of synchrotron and polarization radiation that depends on the frequency of the electron oscillation is considered. Simulations show that at the femtosecond time scale, accelerated electrons in a high-intensity laser pulse can leave the field of the pulse along a given trajectory at the peak amplitude of the field and then return to the field of the laser pulse. This effect is called “jumping gallop.”