Optical properties of two-dimensional magnetoelectric point scattering lattices

Abstract

We explore the electrodynamic coupling between a plane wave and an infinite two-dimensional periodic lattice of magnetoelectric point scatterers, deriving a semianalytical theory with consistent treatment of radiation damping, retardation, and energy conservation. We apply the theory to arrays of split ring resonators and provide a quantitative comparison of measured and calculated transmission spectra at normal incidence as a function of lattice density, showing excellent agreement. We further show angle-dependent transmission calculations for circularly polarized light and compare with the angle-dependent response of a single split ring resonator, revealing the importance of cross coupling between electric dipoles and magnetic dipoles for quantifying the pseudochiral response under oblique incidence of split ring lattices.

Diffractive stacks of metamaterial lattices with a complex unit cell: Self-consistent long-range bianisotropic interactions in experiment and theory

“…As parameters we take {η E ,η H ,η C } = {0.7,0.3,0.4}, γ = 1.25 × 10 14 s −1 , and ω = 1.108 × 10 15 s −1 in order to match the resonance wavelength to the wavelength with the lowest normal incidence transmission dip. As also reported by Sersic et al [19] and Lunnemann et al [23] lattice A shows a strongly asymmetric handed response when rotating the sample in the incident beam around the split ring symmetry axis and collecting the total transmitted signal without analyzer. The asymmetry consists of a sharp decrease in transmission when going from normal incidence to positive angles at handed incidence light and an almost-vanishing of the transmission resonance when either rotating the sample in the opposite direction or collecting in the opposite helicity channel.…”

“…The necessary steps for 6 × 6 dyadic Green functions are easily derived from the known scalar Green function lattice sum. We refer to the Appendix and our recent report [23,24] for implementation details. As a subtle point we note that throughout this work R mn represent reciprocal lattice vectors strictly in the z = 0 plane, while the "observation point" r = (x,y,z) = (r || ,z) at which the lattice sum is evaluated is anywhere in three dimensions, i.e., at any z.…”

Plasmonic meta-atoms and metasurfaces

“…In the case of magnetic meta--atoms, such as split--ring resonators, we have to consider both electric and magnetic dipole moments if we are to understand their interaction properly 35 . Whether electric or magnetic coupling mechanisms dominate depends strongly on the relative orientation of the resonators and on their orientation with respect to the incident field.…”

Plasmonic surface lattice resonances on arrays of different lattice symmetry

“…SLRs associated with metal nanoparticle arrays are also interesting due to the way their modes interact with emissive species such as fluorescent molecules, both with regard to light emission [18], and with regard to strong coupling between lattice resonances and quantum emitters [19,20]. Metal nanoparticle arrays are important in plasmonic metamaterials [21], and SLRs have been explored in the context of topological metamaterials [22].…”