Laser acceleration of electrons in vacuum : accuracy principle for nonlinerarity and capture acceleration scenario (CAS)

The acceleration of electrons by lasers in vacuum was clarified on the basis of trapping electrons in intensity minima or by free motion within the laser beam based on braking the symmetry of infinite plane waves and/or phase symmetry. It turned out, that the used laser field had to be exact including longitudinal components. This free wave acceleration theory reproduces the electron energy and the conical emission as measured by Umstadter et al. and the measurements by Gahn, Witte et al. The recent result that the trace of the electron in a laser beam can be bent nearly parallel to the beam axis [capture and acceleration scenario (CAS)] is evaluated under the aspect of exact calculations based on the accuracy principle of nonlinearity. The application to the conditions of TeV electron generation is then essentially simplified. TeV electrons may be produced by a micrometer wavelength laser pulse of 10 wave lengths and 20 wavelengths focus diameter with a pulse of 4.3 Exawatt.