Resonant polariton-polariton scattering in semiconductor microcavities

We study the scattering of polaritons in a semiconductor microcavity in the strong-coupling regime between a quantum well exciton and a cavity photon. The scattering resonance due to the biexcitonic bound state is analyzed in detail. We point out its signatures in the parametric interaction strength, the mean-field shifts, and the orientation of the linear polarization of parametric luminescence.