We calculate the probability of pair creation in vacuum in d + 1
dimensions (with d = 3,2,1), by an alternating electromagnetic field,
in three cases. First, we consider an electromagnetic field composed of an
alternating electric field and of a constant uniform magnetic field. Next,
we consider the situation when both the electric and magnetic fields are
purely alternating. Finally, we complete this analysis with the case of
production of Dirac particles in vacuum by a constant uniform
electromagnetic field and a plane wave.