We have investigated the reflectivity of GaAs thin layers in the excit
onic absorption region, observing detailed interference structures whi
ch reveal the polariton dispersion and the quantization of the exciton
centre-of-mass motion. To analyse the experimental spectra, we have c
alculated the optical properties of thin films using a real-space dens
ity-matrix approach adapted to the case of degenerate valence bands. T
he oscillatory behaviour of the reflectance is well reproduced; a surf
ace layer where the polarization decreases to zero is computed and its
thickness is found to be energy dependent. The temperature dependence
shows a broadening of the fine structure due to the phonon interactio
n and a decoupling of excitons and photons at high temperature.