  We calculate the short-range contributions $C^{(1)}$ and $C^{(10)}$ to the
angular intensity correlation function for the scattering of s-polarized light
from a one-dimensional random interface between two dielectric media. The
calculations are carried out on the basis of a new approach that separates out
explicitly the contributions $C^{(1)}$ a nd $C^{(10)}$ to the angular intensity
correlation function. The contribution $C^{(1)}$ displays peaks associated with
the memory effect and the reciprocal memory effect. In the case of a
dielectric-dielectric interface, which does not support surface electromagnetic
surface waves, these peaks arise from the co herent interference of
multiply-scattered lateral waves supported by the in terface. The contribution
$C^{(10)}$ is a structureless function of its arguments.
