Studied in this work is the cooling of a beam of sodium atoms upon its
reflection from an evanescent light wave. The cooling mechanism is as
sociated with the spontaneous transitions of the atoms between the hyp
erfine-structure sublevels of the ground state. Subject to studies is
the relationship between the reflection angle of the atoms and the fre
quency detuning and intensity of the light wave. It is demonstrated ex
perimentally that the transverse atomic momentum component can be redu
ced by more than one half (Delta p(perpendicular to)/p(perpendicular t
o)congruent to 0.5) in a single reflection event, the number of cooled
atoms in the reflected beam exceeding 50%. It should be noted that th
e loss of atoms in reflection can be made as small as desired, and so
the reflection cooling cycle can be repeated many times over.