The motion of charged particles in a multi-electromagnetic-wave beam (
multi-EM beam) system has been investigated numerically. This system c
onsists of many plane electromagnetic-wave beams propagating parallel
to each other, but the phase is delayed successively from one beam to
the next. The resultant electromagnetic field seems to be a slow wave
which can interact with the particle beam. When a static magnetic held
is applied parallel to the fluctuating magnetic field of the wave, it
is concluded from numerical calculations that the charged particles i
njected in this scheme are trapped in the apparent wave and accelerate
d stably to high energy, close to the speed of light.