The geometric optics approximation in which the interference effects are ne
glected has been shown to accurately predict surface reflection from random
rough surfaces over a large domain of geometric parameters. In this work,
the geometric optics approximation is extended to rough surfaces coated wit
h an absorbing thin film, Multiple reflections and the effects of interfere
nce within the thin film are considered. The thin film model predictions ar
e compared with the experimental findings for an aluminum surface coated wi
th a thin aluminum-oxide composite film. Such comparisons made at a variety
of incident angles and wavelengths indicate that the geometric optics thin
film model is accurate, The approximate solutions also indicate that a sig
nificant amount of energy is absorbed by the thin film, leading to a decrea
se in the reflected energy. The model is used to demonstrate the strong inf
luence of optical constants and film thickness on the reflection distributi
on.