Nonlinearity-induced Modes and the Frequency Response of Coupled Nonlinear Fabry-Pérot Cavities

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Abstract
We study the frequency response of a system of two coupled Kerr nonlinear cavities with the same or opposite signs of nonlinearity. In the framework of a slowly varying envelope approximation, we show the possibility of having various hysteresis loops in the transmission characteristics of the structure. We also investigate the power-dependent modes of the structure. For large powers we demonstrate the existence of new modes which do not have any linear analogue. These nonlinearity-induced modes show up in the multistable output when the input power is varied.