Study of Plasmonic Resonances on Platonic Solids

Dimitrios C. Tzarouchis*, Pasi Ylä-Oijala, Ari Sihvola

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)
112 Downloads (Pure)


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.

Original languageEnglish
Pages (from-to)1450–1457
Number of pages8
JournalRadio Science
Issue number12
Early online date2017
Publication statusPublished - Dec 2017
MoE publication typeA1 Journal article-refereed


  • Plasmonic albedo
  • Plasmonic nanoparticles
  • Platonic solids
  • Scattering
  • Surface integral equations
  • Vertex

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