2017
DOI: 10.1002/2017rs006378
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Study of Plasmonic Resonances on Platonic Solids

Abstract: 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 mai… Show more

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Cited by 6 publications
(11 citation statements)
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“…The octahedron has the dual shape of the cube and the solid angle sharper than the cube, however, smoother than the one of the tetrahedron [36]. Therefore, we expect that its two main resonances are going to be redshifted when compared to the cube, but blueshifted (shifted to lower wavelengths) when compared to the tetrahedron [36].…”
Section: Plasmonic Octahedronmentioning
confidence: 99%
See 3 more Smart Citations
“…The octahedron has the dual shape of the cube and the solid angle sharper than the cube, however, smoother than the one of the tetrahedron [36]. Therefore, we expect that its two main resonances are going to be redshifted when compared to the cube, but blueshifted (shifted to lower wavelengths) when compared to the tetrahedron [36].…”
Section: Plasmonic Octahedronmentioning
confidence: 99%
“…The electromagnetic response of a hexahedron, or commonly known as the cube, has been studied intensively during the last 50 years (see [36] and references therein). From Fig.…”
Section: Plasmonic Hexahedron (Cube)mentioning
confidence: 99%
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“…However, the limited exploitation of this material is mainly due to the difficulty in applying conventional top‐down fabrication methods to TiO 2 . Additionally, such approaches do not allow the preparation of spherical resonators, which may be interesting for many applications with effective metamaterials, such as beam steering and back‐scattering‐free optics, enhanced light extraction, resonant transmission, manipulation with optical tweezers light detectors directional Fano resonances, and much more.…”
Section: Introductionmentioning
confidence: 99%