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The Generalized Analytical Expression for the Resonance Frequencies of Plasmonic Nanoresonators Composed of Folded Rectangular Geometries

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 me...

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Autores principales: Lu, Hai, Li, Lijun, Zhang, Jun, Xia, Shiqiang, Kang, Xiubao, Huang, Meng, Shen, Kesheng, Dong, Chao, Zhang, Xianzhou
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6328605/
https://www.ncbi.nlm.nih.gov/pubmed/30631122
http://dx.doi.org/10.1038/s41598-018-37275-2
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author Lu, Hai
Li, Lijun
Zhang, Jun
Xia, Shiqiang
Kang, Xiubao
Huang, Meng
Shen, Kesheng
Dong, Chao
Zhang, Xianzhou
author_facet Lu, Hai
Li, Lijun
Zhang, Jun
Xia, Shiqiang
Kang, Xiubao
Huang, Meng
Shen, Kesheng
Dong, Chao
Zhang, Xianzhou
author_sort Lu, Hai
collection PubMed
description 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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spelling pubmed-63286052019-01-14 The Generalized Analytical Expression for the Resonance Frequencies of Plasmonic Nanoresonators Composed of Folded Rectangular Geometries Lu, Hai Li, Lijun Zhang, Jun Xia, Shiqiang Kang, Xiubao Huang, Meng Shen, Kesheng Dong, Chao Zhang, Xianzhou Sci Rep Article 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. Nature Publishing Group UK 2019-01-10 /pmc/articles/PMC6328605/ /pubmed/30631122 http://dx.doi.org/10.1038/s41598-018-37275-2 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Lu, Hai
Li, Lijun
Zhang, Jun
Xia, Shiqiang
Kang, Xiubao
Huang, Meng
Shen, Kesheng
Dong, Chao
Zhang, Xianzhou
The Generalized Analytical Expression for the Resonance Frequencies of Plasmonic Nanoresonators Composed of Folded Rectangular Geometries
title The Generalized Analytical Expression for the Resonance Frequencies of Plasmonic Nanoresonators Composed of Folded Rectangular Geometries
title_full The Generalized Analytical Expression for the Resonance Frequencies of Plasmonic Nanoresonators Composed of Folded Rectangular Geometries
title_fullStr The Generalized Analytical Expression for the Resonance Frequencies of Plasmonic Nanoresonators Composed of Folded Rectangular Geometries
title_full_unstemmed The Generalized Analytical Expression for the Resonance Frequencies of Plasmonic Nanoresonators Composed of Folded Rectangular Geometries
title_short The Generalized Analytical Expression for the Resonance Frequencies of Plasmonic Nanoresonators Composed of Folded Rectangular Geometries
title_sort generalized analytical expression for the resonance frequencies of plasmonic nanoresonators composed of folded rectangular geometries
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6328605/
https://www.ncbi.nlm.nih.gov/pubmed/30631122
http://dx.doi.org/10.1038/s41598-018-37275-2
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