Transmission scattering from medium to air was used to measure the slope di
stribution of the rough plane surface of a transparent glass hemisphere. A
facet model successfully explained the measured results of refraction, scat
tering, and polarization: Transmission scattering existed for incident angl
es greater than the critical angle, all measured curves for the normalized
scattered intensity versus the facet slope angle for different detection di
rections overlapped, and the measured polarization of scattering was approx
imately constant for >99% of the facets. The slope distribution obtained by
transmission scattering agrees with those of the surface profiles in the v
alid range of the profiler and can represent the slope distribution of the
rough surface. (C) 2000 Optical Society of America.