A model is formulated to investigate quantitatively how near-resonant
degenerate four-wave mixing (DFWM) in a vapor of homogeneously broaden
ed two-state atoms is affected by radiation scattered from the pump be
ams. The spectral intensity distribution of the scattered radiation in
the interaction volume is obtained -by solving the equation of radiat
ive transfer and a detailed treatment of the modification this fluctua
ting field causes on the optical dipole induced by the coherent laser
fields is presented. For a broad parameter regime, this modification c
an be expressed via a single quantity that incorporates the energy of
the fluctuating field together with bandwidths and frequency offsets f
rom the atomic resonance. Numerical solutions are given which show tha
t the scattered field causes the DFWM reflectivity to be depressed by
a significant amount, depending most strongly on a characteristic tran
sverse length of the interaction volume. Approximate analytic expressi
ons for the reflectivity are also given which assist in physically und
erstanding the underlying mechanisms.