We have developed a full three-dimensional quantum scattering approach
to optical suppression of ultracold-collision rates. These calculatio
ns are carried out assuming colliding atoms without fine or hyperfine
structure, which have a S-1-->P-1 transition. The three-dimensional mo
del predicts that the optical suppression of ultracold-collision rates
saturates with light intensity much more slowly than predicted by two
-level curve-crossing models. Circularly polarized light is significan
tly more effective for optical suppression, and causes less increase i
n atomic kinetic energy due to excited-state production than linearly
polarized light. The suppressor optical field can also cause orders of
magnitude increases in ground-state elastic-scattering rates.