The enhanced backscattering of p-polarized light from a small-rms-heig
ht, small-rms-slope, one-dimensional, random metal surface was first p
redicted on the basis of an infinite-order perturbation calculation th
at used the techniques of many-body theory and the concepts of weak lo
calization theory. We present an elementary calculation of the contrib
ution to the mean differential reflection coefficient from the incoher
ent component of the scattered light that is based on the first two no
nzero terms in the expansion of this function in powers of the surface
-profile function. We show that this approach not only accounts for en
hanced backscattering but also gives the correct order of magnitude of
the effect predicted by infinite-order perturbation theory.