Model for frequency-dependent nonlinear propagation in 2D-decorated nanowires

"We show that 2D-decorated silicon nanowires exhibit a strong frequency dependence of the real (Kerr) and imaginary (two-photon absorption) nonlinear coefficients. In this setting, we demonstrate that the usual extension of the nonlinear Schr¨odinger equation used to model propagation in this type of waveguides is rendered inadequate. Hence, we introduce a new modeling framework to tackle the frequency dependence of the nonlinear coefficients in 2D-decorated." nanowires, and present an example of its application to the relevant case of supercontinuum generation in graphene- and graphene-oxide decorated silicon nanowires