Generalization of the Bonifacio-Lugiato model to the case of exciton-exciton, exciton-biexciton, and biexciton-biexciton elastic interactions

Optical bistability in the region of the luminescence M band of semiconduct ors related to optical transformation of excitons into biexcitons is studie d. At high excitation levels, elastic exciton-exciton, exciton-biexciton, a nd exciton-biexciton interactions occur. The influence of these interaction s on the nonlinear transmission function of a ring resonator is theoretical ly studied. Consideration of the elastic interparticle interactions for exc itons and biexcitons yields the transmission function either without hyster esis;sis or with one or two hysteresis loops.