  Based on quantum theory, we investigate the distribution of the electrons
scattered in nonlinear Compton effect by an electromagnetic plane wave.
Deviations of the final electron momentum from its initial value are solely due
to quantum effects. The monochromatic case, examined in detail, reveals
features of the electron distribution, useful in the understanding of the
pulsed plane wave case for particular intensity and electron energy regimes.
The graphs displayed focus on the case of head-on or near head-on collision of
an energetic electron with an electromagnetic circularly polarized pulsed plane
wave and show that the deviation in direction is extremely small, while the
distribution in energy can be visibly different from that of the initial
electron. Two pulse shapes, several laser intensities and high incident
electron energies are considered.
