We present a theory of frequency degenerate four-wave mixing in semico
nductor microcavities in the strong coupling regime. The intensity and
polarization state of the signal wave are obtained from the probabili
ty of the two-polariton scattering on the anharmonic potential arising
from the fermionic character of the exciton constituencies. We show t
hat polarization sensitive four-wave mixing measurements enable one to
discriminate the contributions to the excitonic anharmonicity due to
the repulsive and attractive interactions between excitons and the pha
se space filling effect. (C) 1998 Elsevier Science Ltd. All rights res
erved.