Polariton theory of the scattering of light beams in semiconductors

A microscopic theory is represented of the scattering of the excitonic polariton on the excitonic polariton in semiconductors with direct band gaps. All possible scattering mechanisms were taken into account. In the calculations the second quantization method was used in an effective manner. The general results were applied to the case of the single exciton level in CdS. The contributions from different scattering mechanisms were compared.