Abstract

We consider a superlattice built of an array of narrow layers of a narrow gap material (quantum wells) sandwiched hy thick layers of a wide gap material (barriers). The electromagnetic wave with frequency below the band gap of the wells results in optical nonlinearities confined to narrow layers. We model this system by an array of equally spaced, infinitesimally thin layers. characterized by Kerr nonlinearity. It is shown that the electromagnetic wave induces intensity dependent gaps in the spectrum giving rise to a multivalued transmission coefficient. The origin of gaps, their connection to chaos, and a possible application for bistable devices are discussed.

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