The spatial and temporal configuration of a degenerate four-wave mixing (DF
WM) experiment have been analyzed. Numerical calculations and experiments s
how the clear dependence of the experimental signal value on the wave vecto
r geometry. A commutative time symmetry method was applied to analyze data
from DFWM measurements. The method permits the direct formulation of symmet
ry transformation rules that can be used to analyze the temporal shape of t
he diffracted pulse. This time symmetry approach was used to describe DFWM
measurements on two third-order nonlinear materials, CS2 and polyacetylene
thin films. The approach was used to analyze the slow decay temporal compon
ent region for DFWM experiments. (C) 1999 optical Society of America [S0740
-3224(99)01005-X].