The Generalized Analytical Expression for the Resonance Frequencies of Plasmonic Nanoresonators Composed of Folded Rectangular Geometries
The Generalized Analytical Expression for the Resonance Frequencies of Plasmonic Nanoresonators Composed of Folded Rectangular Geometries
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折叠矩形几何形状的等离子体纳米谐振器谐振频率的广义解析表达式
DOI：
10.1038/s41598-018-37275-2
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发表时间：
2019-01
影响因子：
4.6
通讯作者：
Zhang Xianzhou
中科院分区：
文献类型：
--
作者：
Lu Hai;Li Lijun;Zhang Jun;Xia Shiqiang;Kang Xiubao;Huang Meng;Shen Kesheng;Dong Chao;Zhang Xianzhou
提出了一种基于电路布线的等离子体纳米谐振器谐振频率的广义解析表达式，该谐振器由折叠矩形结构组成。该配方是严格来自于在一个矩形金属纳米棒的等离子体共振的集总电路模拟。由矩形端盖的等离子体谐振器中的非均匀电荷分布引起的电磁力驱动等离子体纳米谐振器中的自由电子的谐波振荡，产生固有的非线性形状相关的LC谐振响应。即使对于具有比趋肤深度大得多的结构尺寸的等离子体纳米谐振器，由于相位延迟行为引起的显著频率偏差仍然可以由广义表达式充分描述。此外，对于具有各种折叠矩形几何形状，尺寸和材料的大范围等离子体纳米谐振器，广义解析表达式给出了底层物理并提供了准确的预测，这些预测通过一系列数值模拟得到了完美的验证。我们的研究不仅提供了几乎任何基于折叠矩形几何形状的等离子体纳米谐振器的定量见解，而且还揭示了设计复杂等离子体系统的潜在应用，例如具有嵌入式矩形纳米谐振器的周期性阵列。
A robust generalized analytical expression for resonance frequencies of plasmonic nanoresonators, which consists of folded rectangular structures, is proposed based on a circuit route. The formulation is rigorously derived from the lumped circuit analogue of the plasmon resonance in a rectangular metallic nanorod. Induced by the nonhomogeneous charge distributions in the plasmonic resonators of rectangular end-caps, the electromagnetic forces drive the harmonic oscillations of free electrons in the plasmonic nanoresonators, generating intrinsically nonlinear shape-dependent LC resonance responses. Even for the plasmonic nanoresonators with much larger structure sizes than the skin depths, the significant frequency deviations due to the phase-retardation behavior can still be adequately described by the generalized expression. Moreover, for a large range of plasmonic nanoresonators with various folded rectangular geometries, sizes and materials, the generalized analytical expression gives the underlining physics and provides accurate predictions, which are perfectly verified by a series of numerical simulations. Our studies not only offer quantitative insights of nearly any plasmonic nanoresonators based on folded rectangular geometries, but also reveal potential applications to design complex plasmonic systems, such as periodic arrays with embedded rectangular nanoresonators.
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