An optical characterization procedure for small fragments of uniaxial
materials is described involving the simple use of crossed polarizers
with one polished face of the material. The reflectance at a fluid-uni
axial slab boundary beyond, but near, the critical angle of incident l
ight is examined for linear incidence polarization using an orthogonal
output polarizer. It is found that, as the crossed incident and outpu
t polarizers are rotated together, there are, for a given angle of inc
idence, particular polarization angles for which the reflectivity is a
minimum. These angles give information on the optical tenser of the c
rystal under study. Further the intensity of the reflected light, for
incidence angles beyond critical with the input and output polarizers
crossed, has as a function of the incident polarization angle an oscil
latory form which, when fitted to theory, can also yield the full unia
xial tenser of the material under study. This is confirmed experimenta
lly for a thin single crystal of calcite with one polished face.