Plasmonic Eigenmodes on Regular Nano-Polyhedra: Case Study of Electrostatic and Dynamic Resonant Effects on Rounded Superquadric Solids

The use of the theory of characteristic modes for the study of plasmonic eigenstates of rounded hexahedral and octahedral nanoscatterers is proposed and presented. After a brief study of electrostatic modes in an hexahedral structure follows the corresponding characteristic mode analysis. The analysis reveals the existence, for the first time, of highly symmetric dark modes on the surface of a rounded cube, enhancing our views on the triggered scattering mechanisms for single nanoparticles.