Abstract

A numerical–analytical method is developed for mathematical simulation of nonlinear effects in multilayer plasmonic structures (PSs) based on nanostructured graphene. A nonlinear effect of the third-harmonic generation in multilayer PSs based on 2D periodic lattices of rectangular graphene microribbons on dielectric layers is numerically simulated in the terahertz frequency range. It is shown that the efficiency of nonlinear interaction (third-harmonic generation) in multilayer graphene PSs increases by several orders of magnitude at the resonance frequencies of the fundamental and higher modes of surface plasmon polaritons and can be increased in comparison with single-layer PSs due to an increase in the number of layers and packing density of the lattices of graphene microribbons, as well as application of multilayer substrates (dielectric mirrors). A decrease in the chemical potential leads to a decrease in the plasmon resonance frequency whereas the amplitude of the generated third harmonic significantly increases.

中文翻译：

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谐振多层等离子体结构中太赫兹波与纳米结构石墨烯的非线性相互作用

摘要

开发了一种数值分析方法，用于对基于纳米结构石墨烯的多层等离子体结构 (PS) 中的非线性效应进行数学模拟。在太赫兹频率范围内对基于介电层上矩形石墨烯微带二维周期晶格的多层 PS 中三次谐波产生的非线性效应进行了数值模拟。结果表明，多层石墨烯 PS 中非线性相互作用（三次谐波产生）的效率在表面等离子体激元的基模和更高模式的共振频率下增加了几个数量级，并且与单层 PS 相比可以增加由于石墨烯微带晶格的层数和堆积密度的增加，以及多层基板（介电镜）的应用。化学势的降低导致等离子体共振频率的降低，而产生的三次谐波的幅度显着增加。