Structure of Electromagnetic Fields in Crossed Gaussian Beams

Expressions for the fields of crossed Gaussian beams with foci shifted relative to the point of intersection of their axes are derived. It is shown that the linear corrections in parameter e=1/kρ0 must be taken into account in the crossed-beam intensity distribution (in contrast to the case of a single beam). The interference of crossed Gaussian beams has been investigated based on the intensity calculations taking into account linear corrections to the Poynting vector. The residual electron energy in crossed pulses is multiply increased in comparison with the case of acceleration in a single Gaussian pulse.