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Analysis of Scattering by Plasmonic Gratings of Circular Nanorods Using Lattice Sums Technique

机译:晶格求和技术分析圆形纳米棒的等离子光栅散射

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摘要

A self-contained formulation for analyzing electromagnetic scattering by a significant class of planar gratings composed of plasmonic nanorods, which were infinite length along their axes, is presented. The procedure for the lattice sums technique was implemented in a cylindrical harmonic expansion method based on the generalized reflection matrix approach for full-wave scattering analysis of plasmonic gratings. The method provided a high computational efficiency and can be considered as one of the best-suited numerical tools for the optimization of plasmonic sensors and plasmonic guiding devices both having a planar geometry. Although the proposed formalism can be applied to analyze a wide class of plasmonic gratings, three configurations were studied in the manuscript. Firstly, a multilayered grating of silver nanocylinders formed analogously to photonic crystals was considered. In the region far from the resonances of a single plasmonic nanocylinder, the structure showed similar properties compared to conventional photonic crystals. When one or a few nanorods were periodically removed from the original crystal, thus forming a crystal with defects, a new band was formed in the spectral responses because of the resonant tunneling through the defect layers. The rigorous formulation of plasmonic gratings with defects was proposed for the first time. Finally, a plasmonic planar grating of metal-coated dielectric nanorods coupled to the dielectric slab was investigated from the viewpoint of design of a refractive index sensor. Dual-absorption bands attributable to the excitation of the localized surface plasmons were studied, and the near field distributions were given in both absorption bands associated with the resonances on the upper and inner surfaces of a single metal-coated nanocylinder. Resonance in the second absorption band was sensitive to the refractive index of the background medium and could be useful for the design of refractive index sensors. Also analyzed was a phase-matching condition between the evanescent space-harmonics of the plasmonic grating and the guided modes inside the slab, leading to a strong coupling.
机译:提出了一种独立的公式,用于分析由等离子纳米棒组成的大量平面光栅的电磁散射,这些等离子纳米棒的轴向长度无限长。晶格求和技术的过程是在圆柱谐波展开方法中实现的,该方法基于广义反射矩阵方法对等离激元光栅进行全波散射分析。该方法提供了高计算效率,并且可以被认为是用于优化均具有平面几何形状的等离子体传感器和等离子体导向装置的最适合的数值工具之一。尽管提出的形式主义可以用于分析各种等离激元光栅,但在手稿中研究了三种配置。首先,考虑了类似于光子晶体形成的多层银纳米圆柱体的光栅。在远离单个等离子体纳米圆柱体共振的区域中,该结构与常规光子晶体相比显示出相似的特性。当周期性地从原始晶体中去除一个或几个纳米棒,从而形成具有缺陷的晶体时,由于穿过缺陷层的共振隧穿,在光谱响应中形成了一个新的能带。首次提出了具有缺陷的等离激元光栅的严格公式。最后,从折射率传感器的设计角度出发,研究了与介电平板耦合的金属包覆介电纳米棒的等离子体平面光栅。研究了归因于局部表面等离子体激元激发的双吸收带,并给出了与单个金属涂层纳米圆柱体的上表面和内表面上的共振相关的两个吸收带的近场分布。第二吸收带中的共振对背景介质的折射率敏感,并且可能对折射率传感器的设计有用。还分析了等离激元光栅的e逝空间谐波与平板内部的导模之间的相位匹配条件,从而导致强耦合。

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