Theory of the interaction of light beams via polariton-polariton scattering. II

Abstract

The theory of stimulated polariton-polariton scattering is developed. This scattering leads to a parametric interaction between four optical-frequency fields. Through this process, three light beams intersecting in a semiconductor will interact in such a way that power is transferred from two of the beams to the third beam and to a fourth beam that is generated by the interaction. The efficiency of the scattering process is estimated for the particular case in which CdS is the semiconductor and the optical wavelengths involved are slightly larger than those corresponding to the $a$ exciton absorption band. It is found that this four-field parametric interaction should be observable for modest pump beam powers. A comparison is made between the stimulated scattering process considered here and the spontaneous scattering case treated in a previous paper.