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When arranged in a periodic geometry, arrays of metallic nanostructures arecapable of supporting collective modes known as lattice resonances. Thesemodes, which originate from the coherent multiple scattering between theelements of the array, give rise to very strong and spectrally narrow opticalresponses. Here, we show that, thanks to their collective nature, the latticeresonances of a periodic array of metallic nanoparticles can mediate anefficient long-range coupling between dipole emitters placed near the array.Specifically, using a coupled dipole approach, we calculate the Green tensor ofthe array connecting two points and analyze its spectral and spatialcharacteristics. This quantity represents the electromagnetic field produced bythe array at a given position when excited by a unit dipole emitter located atanother one. We find that, when a lattice resonance is excited, the Greentensor is significantly larger and decays more slowly with distance than theGreen tensor of vacuum. Therefore, in addition to advancing the fundamentalunderstanding of lattice resonances, our results show that periodic arrays ofnanostructures are capable of enhancing the long-range coupling betweencollections of dipole emitters, which makes them a promising platform forapplications such as nanoscale energy transfer and quantum informationprocessing.

Green Tensor Analysis of Lattice Resonances in Periodic Arrays of Nanoparticles