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A simple hand calculation method based on group theory is proposed to predict the near field maps of finite metallic nanoparticles (MNP) of canonical geometries: prism, cube, hexagon, disk, sphere, etc. corresponding to low order localized surface plasmon resonance excitations. In this article, we report the principles of the group theory approach and demonstrate, through several examples, the general character of the group theory method which can be applied to describe the plasmonic response of particles of finite or infinite symmetry point groups. Experimental validation is achieved by collection of high-resolution subwavelength near-field maps by photoemission electron microscopy (PEEM) on a representative set of Au colloidal particles exhibiting either finite (hexagon) or infinite (disk, sphere) symmetry point groups.

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Publication history

Received: 25 November 2019
Revised: 23 March 2020
Accepted: 24 March 2020
Published: 16 April 2020
Issue date: June 2020

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© Tsinghua University Press and Springer-Verlag GmbH Germany, part of Springer Nature 2020

Acknowledgements

Part of the developments regarding the infinite point group symmetry comes out from a fruitful exchange with Paul Walton and Alessandro Paradisi from the University of York, UK. The CEA authors thank them sincerely for their solid contribution. The CEA authors acknowledge financial support by the French National Agency (ANR) in the frame of its program in Nanosciences and Nanotechnologies (PEEM Plasmon Project ANR-08-NANO-034, ANR P2N 2013-Samiré), Nanosciences Île-de-France (PEEM Plasmonics project), the "Triangle de la Physique" (PEPS Project 2012-035T) and the doctoral school "Ecole Doctorale Ondes et Matière (EDOM)" . Support of S. Vassant in the figure preparation was greatly appreciated.

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Email: nanores@tup.tsinghua.edu.cn

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