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首页> 外文期刊>Physical review, E >Coupled-mode-theory framework for nonlinear resonators comprising graphene
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Coupled-mode-theory framework for nonlinear resonators comprising graphene

机译：包括石墨烯的非线性谐振器的耦合模式框架

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摘要

A general framework combining perturbation theory and coupled-mode theory is developed for analyzing nonlinear resonant structures comprising dispersive bulk and sheet materials. To allow for conductive sheet materials, a nonlinear current term is introduced in the formulation in addition to the more common nonlinear polarization. The framework is applied to model bistability in a graphene-based traveling-wave resonator system exhibiting third-order nonlinearity. We show that the complex conductivity of graphene disturbs the equality of electric and magnetic energies on resonance (a condition typically taken for granted), due to the reactive power associated with the imaginary part of graphene's surface conductivity. Furthermore, we demonstrate that the dispersive nature of conductive materials must always be taken into account, since it significantly impacts the nonlinear response. This is explained in terms of the energy stored in the surface current, which is zeroed-out when linear dispersion is neglected. The results obtained with the proposed framework are compared with full-wave nonlinear finite-element simulations with excellent agreement. Very low characteristic power for bistability is obtained, indicating the potential of graphene for nonlinear applications.
机译：开发了一种结合扰动理论和耦合模式理论的一般框架，用于分析包括色散散装和片材的非线性谐振结构。为了允许导电片材，除了更常见的非线性极化之外，在制剂中引入非线性电流术语。该框架应用于呈现三阶非线性的基于石墨烯的行进波谐振器系统中的模型双稳态。我们表明石墨烯的复杂电导率扰动了谐振的谐振和磁能的平等（通常被视为理所当然的条件），这是由于与石墨烯表面电导率的虚部相关的无功功率。此外，我们证明必须始终考虑导电材料的分散性，因为它显着影响非线性反应。这就是存储在表面电流中的能量来解释，当忽略线性分散时，该能量是归零的。用拟议框架获得的结果与全波非线性有限元模拟相比，具有良好的一致性。获得了非常低的双空性功率，指示石墨烯对于非线性应用的电位。

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