We study the scattering of p-polarized light from a one-dimensional ra
ndomly rough metal surface that is periodic on average, rather than pl
anar. We find that the contribution to the mean differential reflectio
n coefficient from the diffuse component of the scattered light displa
ys features, e.g., dips, at scattering angles theta(s) given by sin th
eta(s) = -sin theta0 + n(lambda/d), where theta0 is the angle of incid
ence, n is a nonzero integer, lambda is the wavelength of the incident
light, and d is the period of the average surface, in addition to the
enhanced backscattering peak at theta(s) = -theta0. These additional
features are caused by the interference of each multiply scattered sur
face-plasmon polariton path with its time-reversed partner.