The self-diffraction four wave mixing signal from excitonic transition
s in GaAs quantum wells is investigated experimentally as a function o
f arbitrary linear polarization orientation of the incident light puls
es. The polarization of the diffracted signal, and the phase of quantu
m beats between light and heavy hole excitons, are shown to be strongl
y dependent on the magnitude of excitation intensity. The experimental
results observed for excitation densities above 2 x 10(9)cm-2 are in
accordance with theoretical conceptions of the polarization selection
rules for light and heavy hole exciton transitions in a quantum well.
For lower excitation, remarkable deviations from the predictions of th
e theoretical model occur.