A theory of free precession in selective reflection is presented. In contra
st to standard theories of free precession in which transmission signals de
cay in a time on the order of the inverse of the inhomogeneous width, the s
elective reflection signal decays in a time of order of the inverse of the
homogeneous width. Both short-pulse excitation and continuous-wave (cw) exc
itation are considered. In the case of cw excitation, it is possible to obs
erve beating between the contributions to the signal that are first and thi
rd order in the amplitude of the excitation field.