Gomez, D.E.Hwang, Y.Lin, J.Davis, T.J.Roberts, A.2025-12-182025-12-182017ACS Photonics, 2017; 4(7):1607-16142330-40222330-4022https://hdl.handle.net/11541.2/145794Data source: Supporting information, https://doi.org/10.1021/acsphotonics.7b00299 Link to a related website: https://arxiv.org/pdf/1705.10428.pdf, Open Access via UnpaywallWe consider periodic arrangements of metal nanostructures and study the effect of periodicity on the localized surface plasmon resonance of the structures within an electrostatic eigenmode approximation. We show that within this limit the collective surface plasmon resonances of the periodic structures can be expressed in terms of superpositions of the eigenmodes of uncoupled nanostructures that exhibit a standing-wave character delocalized across the entire periodic structure. The formalism derived successfully enables the design and accounts for the observation of plasmonic edge states in periodic structures.enCopyright 2017 American Chemical Societysurface plasmonsplasmonicscollective resonancesnanoparticle arraynear-field couplingedge statesJournal article10.1021/acsphotonics.7b002992-s2.0-85025070997