Surface - lattice resonances in 2d arrays of spheres: multipolar interactions and a mode analysis

Abstract

We present a multipolar model of surface - lattice resonances (SLRs) in 2d arrays of spheres including the electric dipole, magnetic dipole, and electric quadrupole moments of the spheres. We identify SLRs of dipolar and multipolar character, show the importance of non-resonant multipoles in their description, and discuss the sensitivity of SLRs to illumination conditions. We link SLRs to an excitation of modes supported by the array, and we propose a simplified model of the mode dispersion relations that explains the sensitivity of SLRs and the band gap in mode dispersion found at low frequencies. Finally we discuss the resonant features associated with a direct coupling to a mode which can occur in addition to the diffractive coupling signalled by SLRs.

20 pages, 17 figures

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• Beam engineering for selective and enhanced coupling to multipolar resonances
• Fano collective resonance as complex mode in a two dimensional planar metasurface of plasmonic nanoparticles
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• Nanoparticle lattices with electric and magnetic resonances [Prospective]
• Efficient simulation of bi-periodic, layered structures based on the T-matrix method
• Small mode volume topological photonic states in one-dimensional lattices with dipole--quadrupole interactions
• Plasmon-Plasmon Interaction in Nanoparticle Assemblies: Role of the Dipole-Quadrupole Coupling