Abstract

Honeycomb plasmonic lattices are paradigmatic examples of non-Bravais lattices. We experimentally measure surface lattice resonances in effectively free-standing honeycomb lattices composed of silver nanospheres. By combining numerical simulations with analytical methods, we analyze the dispersion relation and the near-field properties of these modes along high symmetry trajectories. We find that our results can be interpreted in terms of dipole-only interactions between the two non-equivalent triangular sublattices, which naturally lead to an asymmetric near-field distribution around the nanospheres. We generalize the interaction between the two sublattices to the case of variable adjacent interparticle distance within the unit cell, highlighting symmetry changes and diffraction degeneracy lifting associated to the transition between Bravais and non-Bravais lattices.

Highlights

  • Within the vast eld of photonics, ordered structures have always received special attention

  • We generalize the interaction between the two sublattices to the case of variable adjacent interparticle distance within the unit cell, highlighting symmetry changes and diffraction degeneracy lifting associated to the transition between Bravais and non-Bravais lattices

  • We experimentally measure the dispersion relation of Surface Lattice Resonances (SLRs) in honeycomb plasmonic lattices fabricated on cm-scale by nanosphere lithography, with special attention on the G À M trajectory of the k-space and spolarization

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Summary

Introduction

Within the vast eld of photonics, ordered structures have always received special attention. Paper several properties could be investigated over large areas, including third-order optical nonlinearity,[53,54,55,56] SERS,[57] biosensing[58] and modi ed spontaneous emission of atoms weakly coupled to the lattice.[59,60] Interestingly, the importance of fabricating large plasmonic lattices has been recently stressed by a theoretical study on the relation between the number of unit cells and near- eld collective properties.[61] In this manuscript, we experimentally measure the dispersion relation of SLRs in honeycomb plasmonic lattices fabricated on cm-scale by nanosphere lithography, with special attention on the G À M trajectory of the k-space and spolarization (results for the G À K trajectory and ppolarization are shown in the ESI†). We show that the relative translation of the two triangular sublattices leads to a smooth transition between a Bravais, rectangular lattice and a non-Bravais, honeycomb lattice with consequent point group symmetry change and degeneracy li ing of diffracted orders

Results and discussion
Collective modes in honeycomb lattices
Intersublattice and intrasublattice coupling
Beyond the honeycomb lattice
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