The analytical expression for the reflectance of a weakly absorbing we
dge shaped thin film supported on a thick transparent substrate has be
en obtained. The envelopes of reflectance maxima and minima derived fr
om that expression together with known formulae for envelopes of trans
mission spectrum enable calculation of optical constants and thickness
non-uniformity of the film. The calculations have been applied to thi
n films of amorphous silicon and the results obtained have been compar
ed with those for films considered uniform.