In-Plane Plasmonic Modes in a Quasicrystalline Array of Metal Nanoparticles

We investigated the plasmonic modes in a two-dimensional quasicrystalline array of metal nanoparticles. The polarization of the modes is in the array plane. A simplified eigen-decomposition method is presented with the help of rotational symmetry. Two kinds of anti-phase ring modes with radial and tangential polarizations are of highest spatial localizations among all of plasmonic modes. For the leaky characteristic of the anti-phase ring modes, the highest fidelity mode in the quasicrystalline array is found to be tangential polarized mode, whereas normal-to-plane polarized mode in the circular ring. The leaky characteristics and spatial localizations of other plasmonic modes are also studied, for example, collective vortex mode that may be a candidate to form negative responses in plasmonic device and collective radial mode that may be used to generate light sources with radial polarizations.