Abstract
For one-dimensional superlattices consisting of unit cells with two films, one of which exhibits nonlinear response to the electromagnetic field, the transmissivity as a function of incident intensity and frequency is calculated for periodic and quasiperiodic structures. It is found that gap-soliton-mediated resonances for periodic structures arise from the Fabry-P\'erot oscillations in the transmission band. Solitons in the stop gap are not found in the quasiperiodic case.
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