We present results of our experimental investigations of phase-conjugate fo
ur-wave mixing in a nearly Doppler-free, collisionless, two-level quantum s
ystem with a partially coherent non-Markovian laser field. The two componen
ts of the laser field-an intense pump and a weak, time-delayed probe-are de
rived from a single narrow-band cw laser source on which phase and frequenc
y fluctuations conforming to the phase diffusion model are superimposed. We
carry out these measurements using the D-2 transition in an optically pump
ed diffuse beam of atomic sodium. We vary the pump intensity, laser bandwid
th, and temporal delay between the pump and probe, and measure the peak sig
nal strength, the bandwidth, and the asymmetry of the four-wave-mixing spec
trum. For comparison with our experimental results of the peak signal stren
gth, we also analyze the same interaction numerically, through direct integ
ration of the optical Bloch equations. The numerical results are in good ag
reement with the measurements. [S1050-2947(99)00307-8].