The effect of electromagnetically induced transparency in resonant fou
r-wave-mixing schemes is investigated in an analysis that goes beyond
perturbation theory in the coherent driving field. In addition we exam
ine the case where the two-photon pump field is sufficiently strong to
necessitate a nonperturbative treatment. This allows us to examine th
e cases where either one or both of the driving fields are strong. Pha
se matching is included in a plane-wave propagation treatment that mat
ches the situation most likely to be encountered in actual experiments
. The calculations are in part intended to model real experimental sit
uations and thus incorporate driving and pump-field linewidths via the
phase-diffusion model and Doppler broadening. With a strong pump-fiel
d laser, large enhancements in the efficiency of light generation occu
r at frequencies corresponding to the Autler-Townes satellites induced
by the strong driving field. In this situation gain and high four-wav
e-mixing efficiency are simultaneously present, resulting in the produ
ction of a large intensity of coherent radiation.