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 Schrödinger 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.

中文翻译：

---

二维装饰纳米线中的频率相关非线性传播模型

我们表明，2D 装饰的硅纳米线表现出实 (Kerr) 和虚 (双光子吸收) 非线性系数的强烈频率依赖性。在这种情况下，我们证明了用于对此类波导中的传播进行建模的非线性薛定谔方程的通常扩展是不够的。因此，我们引入了一种新的建模框架来解决二维装饰纳米线中非线性系数的频率依赖性，并展示了其在石墨烯和氧化石墨烯装饰的硅纳米线中超连续谱生成相关案例中的应用示例。