Group Theory Analyses of Fano Resonance Spectra in the System of C<sub>3v</sub> and C<sub>4v</sub> Metallic Multinanoparticles-Thin Film

Mengjun Li; Xiaoming Li

doi:doi:10.11648/j.optics.20180701.18

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Group Theory Analyses of Fano Resonance Spectra in the System of C_3v and C_4v Metallic Multinanoparticles-Thin Film

Mengjun Li, Xiaoming Li

Published in Optics (Volume 7, Issue 1)

Received: 26 July 2018 Accepted: 13 August 2018 Published: 4 September 2018

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Abstract

The original mechanism of Fano resonance spectrum dip resulting from the system of metallic multinanoparticles-thin film belonging to C_3v and C_4v is deduced in detail using group theory. Based on our previous study, this paper verifies that there is only four LSPP electric dipole moment resonant modes in the system of C_nv mutinanoparticles-thin film according with the same irreducible representation E when illuminated by linearly polarized light: only three of them lie in the plane where the multiparticles locate, and among them, the ring-particles own two, the central particle is one. These results are completely the same with that of D_nh. The direction of the electric dipolar moments is perpendicular to the multiparticles plane although the last one has the same symmetry with the other three, and it is not applied usually to the experimental study or application of surface plasmon resonance relative to the other three. In addition, the systems of metallic nanoparticles-thin film belonging to C_nv and the metallic nanoparticles belonging to D_nh point groups hold the similar spectrum lineshape, however, there is some redshift or blueshift of spectrum dip(peak) in the system of nanoparticles-thin film if the thin film exists. This work can provide some references for designing the optical properties and its extended applications about the system of metallic multinanoparticles-thin film.

Published in	Optics (Volume 7, Issue 1)
DOI	10.11648/j.optics.20180701.18
Page(s)	54-60
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Surface Plasmon Resonance Spectrum, Metallic Multinanoparticles-Thin Film, Group Theory, Fano Resonance Spectral Dip, Spectral Red (Blue) Shift

References

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APA Style

Mengjun Li, Xiaoming Li. (2018). Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film. Optics, 7(1), 54-60. https://doi.org/10.11648/j.optics.20180701.18

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ACS Style

Mengjun Li; Xiaoming Li. Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film. Optics. 2018, 7(1), 54-60. doi: 10.11648/j.optics.20180701.18

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AMA Style

Mengjun Li, Xiaoming Li. Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film. Optics. 2018;7(1):54-60. doi: 10.11648/j.optics.20180701.18

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@article{10.11648/j.optics.20180701.18,
  author = {Mengjun Li and Xiaoming Li},
  title = {Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film},
  journal = {Optics},
  volume = {7},
  number = {1},
  pages = {54-60},
  doi = {10.11648/j.optics.20180701.18},
  url = {https://doi.org/10.11648/j.optics.20180701.18},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.optics.20180701.18},
  abstract = {The original mechanism of Fano resonance spectrum dip resulting from the system of metallic multinanoparticles-thin film belonging to C3v and C4v is deduced in detail using group theory. Based on our previous study, this paper verifies that there is only four LSPP electric dipole moment resonant modes in the system of Cnv mutinanoparticles-thin film according with the same irreducible representation E when illuminated by linearly polarized light: only three of them lie in the plane where the multiparticles locate, and among them, the ring-particles own two, the central particle is one. These results are completely the same with that of Dnh. The direction of the electric dipolar moments is perpendicular to the multiparticles plane although the last one has the same symmetry with the other three, and it is not applied usually to the experimental study or application of surface plasmon resonance relative to the other three. In addition, the systems of metallic nanoparticles-thin film belonging to Cnv and the metallic nanoparticles belonging to Dnh point groups hold the similar spectrum lineshape, however, there is some redshift or blueshift of spectrum dip(peak) in the system of nanoparticles-thin film if the thin film exists. This work can provide some references for designing the optical properties and its extended applications about the system of metallic multinanoparticles-thin film.},
 year = {2018}
}

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TY  - JOUR
T1  - Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film
AU  - Mengjun Li
AU  - Xiaoming Li
Y1  - 2018/09/04
PY  - 2018
N1  - https://doi.org/10.11648/j.optics.20180701.18
DO  - 10.11648/j.optics.20180701.18
T2  - Optics
JF  - Optics
JO  - Optics
SP  - 54
EP  - 60
PB  - Science Publishing Group
SN  - 2328-7810
UR  - https://doi.org/10.11648/j.optics.20180701.18
AB  - The original mechanism of Fano resonance spectrum dip resulting from the system of metallic multinanoparticles-thin film belonging to C3v and C4v is deduced in detail using group theory. Based on our previous study, this paper verifies that there is only four LSPP electric dipole moment resonant modes in the system of Cnv mutinanoparticles-thin film according with the same irreducible representation E when illuminated by linearly polarized light: only three of them lie in the plane where the multiparticles locate, and among them, the ring-particles own two, the central particle is one. These results are completely the same with that of Dnh. The direction of the electric dipolar moments is perpendicular to the multiparticles plane although the last one has the same symmetry with the other three, and it is not applied usually to the experimental study or application of surface plasmon resonance relative to the other three. In addition, the systems of metallic nanoparticles-thin film belonging to Cnv and the metallic nanoparticles belonging to Dnh point groups hold the similar spectrum lineshape, however, there is some redshift or blueshift of spectrum dip(peak) in the system of nanoparticles-thin film if the thin film exists. This work can provide some references for designing the optical properties and its extended applications about the system of metallic multinanoparticles-thin film.
VL  - 7
IS  - 1
ER  -

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Author Information

Mengjun Li

Institute of Modern Optics, College of Electronic Information and Optical Engineering, NanKai University, Tianjin, China
Xiaoming Li

Nanophotonics Research Centre, Shenzhen Key Laboratory of Micro-Scale Optical Information Technology, Shenzhen University, Shenzhen, China

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APA Style

Mengjun Li, Xiaoming Li. (2018). Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film. Optics, 7(1), 54-60. https://doi.org/10.11648/j.optics.20180701.18

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ACS Style

Mengjun Li; Xiaoming Li. Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film. Optics. 2018, 7(1), 54-60. doi: 10.11648/j.optics.20180701.18

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AMA Style

Mengjun Li, Xiaoming Li. Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film. Optics. 2018;7(1):54-60. doi: 10.11648/j.optics.20180701.18

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@article{10.11648/j.optics.20180701.18,
  author = {Mengjun Li and Xiaoming Li},
  title = {Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film},
  journal = {Optics},
  volume = {7},
  number = {1},
  pages = {54-60},
  doi = {10.11648/j.optics.20180701.18},
  url = {https://doi.org/10.11648/j.optics.20180701.18},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.optics.20180701.18},
  abstract = {The original mechanism of Fano resonance spectrum dip resulting from the system of metallic multinanoparticles-thin film belonging to C3v and C4v is deduced in detail using group theory. Based on our previous study, this paper verifies that there is only four LSPP electric dipole moment resonant modes in the system of Cnv mutinanoparticles-thin film according with the same irreducible representation E when illuminated by linearly polarized light: only three of them lie in the plane where the multiparticles locate, and among them, the ring-particles own two, the central particle is one. These results are completely the same with that of Dnh. The direction of the electric dipolar moments is perpendicular to the multiparticles plane although the last one has the same symmetry with the other three, and it is not applied usually to the experimental study or application of surface plasmon resonance relative to the other three. In addition, the systems of metallic nanoparticles-thin film belonging to Cnv and the metallic nanoparticles belonging to Dnh point groups hold the similar spectrum lineshape, however, there is some redshift or blueshift of spectrum dip(peak) in the system of nanoparticles-thin film if the thin film exists. This work can provide some references for designing the optical properties and its extended applications about the system of metallic multinanoparticles-thin film.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film
AU  - Mengjun Li
AU  - Xiaoming Li
Y1  - 2018/09/04
PY  - 2018
N1  - https://doi.org/10.11648/j.optics.20180701.18
DO  - 10.11648/j.optics.20180701.18
T2  - Optics
JF  - Optics
JO  - Optics
SP  - 54
EP  - 60
PB  - Science Publishing Group
SN  - 2328-7810
UR  - https://doi.org/10.11648/j.optics.20180701.18
AB  - The original mechanism of Fano resonance spectrum dip resulting from the system of metallic multinanoparticles-thin film belonging to C3v and C4v is deduced in detail using group theory. Based on our previous study, this paper verifies that there is only four LSPP electric dipole moment resonant modes in the system of Cnv mutinanoparticles-thin film according with the same irreducible representation E when illuminated by linearly polarized light: only three of them lie in the plane where the multiparticles locate, and among them, the ring-particles own two, the central particle is one. These results are completely the same with that of Dnh. The direction of the electric dipolar moments is perpendicular to the multiparticles plane although the last one has the same symmetry with the other three, and it is not applied usually to the experimental study or application of surface plasmon resonance relative to the other three. In addition, the systems of metallic nanoparticles-thin film belonging to Cnv and the metallic nanoparticles belonging to Dnh point groups hold the similar spectrum lineshape, however, there is some redshift or blueshift of spectrum dip(peak) in the system of nanoparticles-thin film if the thin film exists. This work can provide some references for designing the optical properties and its extended applications about the system of metallic multinanoparticles-thin film.
VL  - 7
IS  - 1
ER  -

Copy | Download