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Study of Plasmonic Resonances on Platonic Solids
Author(s) -
Tzarouchis Dimitrios C.,
YläOijala Pasi,
Sihvola Ari
Publication year - 2017
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/2017rs006378
Subject(s) - tetrahedron , dodecahedron , plasmon , hexahedron , polyhedron , octahedron , physics , resonance (particle physics) , materials science , optics , molecular physics , geometry , mathematics , atomic physics , quantum mechanics , ion , finite element method , thermodynamics
In this study we discuss the plasmonic subwavelength scattering resonances of five regular polyhedra, that is, the Platonic solids tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. A brief discussion regarding their geometrical characteristics and the numerical method used in the study is given. All results are compared with the benchmark case of a sphere, in order to observe how the geometry of the solid affects the spectral characteristics. The principal finding is that the shift of the main dipole resonance exhibits a solid vertex hierarchical order; in other words, the position of the resonance correlates with the solid angle of the vertex of the given solid. This is in contrast with the hedra‐hierarchical order found for the electrostatic dielectric response of these solids. These results can create new avenues for applications and devices that require plasmonic particles with on‐demand functionalities.

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