The angle-of-incidence dependence of the differential reflection phase shif
t Delta between p and s polarizations is considered a function of the real
and imaginary parts of the relative complex dielectric function epsilon of
an interface in the domain of fractional optical constants, i.e., under con
ditions of internal reflection. The constraint on complex epsilon such that
oscillatory and monotonic angular responses are obtained is determined. A
sensitive and stable technique, which is based on attenuated internal refle
ction ellipsometry between the Brewster angle and the critical angle, is pr
oposed for measuring small induced absorption(epsilon(i) similar to 10(-5))
in the medium of refraction. (C) 1999 Optical Society of America [S0740-32
32(99)01407-6].