Resonant Lattice Kerker Effect in Metasurfaces With Electric and Magnetic Optical Responses

Abstract

Abstract. To achieve efficient light control at subwavelength dimensions, plasmonic and all-dielectric nanoparticles have been utilized both as a single element as well as in the arrays. Here we study 2D periodic nanoparticle arrays (metasurfaces) that support lattice resonances near the Rayleigh anomaly due to the electric dipole (ED) and magnetic dipole (MD) resonant coupling between the nanoparticles. Silicon and core-shell particles are considered. We demonstrate for the first time that, choosing of lattice periods independently in each mutual-perpendicular direction, it is possible to achieve a full overlap between the ED-lattice resonance and MD resonances of nanoparticles in certain spectral range and to realize the resonant lattice Kerker effect (resonant suppression of the scattering or reflection). At the effect conditions, the strong suppression of light reflectance in the structure is appeared due to destructive interference between electromagnetic waves scattered by ED and MD moments of every nanoparticle in the backward direction with respect to the incident light wave. Influence of the array size on the revealed reflectance and transmittance behavior is discussed. The resonant lattice Kerker effect based on the overlap of both ED and MD lattice resonances is also demonstrated.Both plasmonic and all-dielectric nanostructures have been proposed for efficient manipulation of light at the nanoscale [1][2][3], with particular interest to be applied in ultra-thin functional elements, so-called metasurfaces [4][5][6], and in particular to control reflection from the material interfaces [7,8] and to improve photovoltaic properties [9][10][11]. With the typical linear dimensions of 100-200 nm, high-refractive-index (silicon) nanoparticles induce enhanced electric and magnetic moments and support Mie resonances in the visible spectral range as it has been first shown theoretically in [12] and then experimentally proved in [13] (see also [14,15]). Utilizing high-refractive-index nanoparticles gives an opportunity to obtain magnetic optical response without using metal inclusions such as split-ring resonators or core-shell particles, and avoid high non-radiative optical losses associated with metals [16]. Such all-dielectric nanostructures, for instance, nanoparticle arrays (metasurfaces), demonstrate a variety of unique effects, and in particular suppression of reflection in a pre-defined direction [17,18]. As has been shown in the earlier work [19], if electric and magnetic polarizabilities of a nanoparticle are equal each other in magnitude and phase (the first Kerker condition), light scattering from this nanoparticle is suppressed in the backward direction, and recently, it is referred as a Kerker effect. For silicon spherical nanoparticle array, ED and MD do not overlap, and only non-resonant Kerker effect is possible: antireflective properties are observed at wavelength either larger than the wavelength of the magnetic dipole (MD) resonance [12] or smaller than the wavelength of the electric dipole (ED...

Lattice Zenneck Modes on Subwavelength Antennas

“…In agreement with present calculations, the numerical results of have shown that arrays as small as 7 × 7 silicon particles are enough to shift the ED resonance, overlap it with MD, and achieve resonant directional scattering (Kerker effect) with forward‐to‐backward scattering ratio up to 50.…”

“…">In Section 3, we have shown that scattering spectra of 7 × 7 LIPP‐particle array resemble properties of ‘ideal case’ (array with an effectively infinite number of particles). One can see well‐pronounced peaks at the wavelength close to Rayleigh anomaly (lattice resonances) and forward‐to‐backward scattering ratio as high as 4300.In agreement with present calculations, the numerical results of have shown that arrays as small as 7 × 7 silicon particles are enough to shift the ED resonance, overlap it with MD, and achieve resonant directional scattering (Kerker effect) with forward‐to‐backward scattering ratio up to 50. Lattice resonances have also been shown to be excited even when a substantial number of particles are removed, or particles are shuffled in the array.…”

“…By designing a nanoparticle geometry, for example, using disks or cubes, one can bring resonances into spectral overlap, which results in a resonant Kerker effect . It has been shown that ED and MD resonances induced by the lattice can be brought into overlap by tuning the array periods ( lattice Kerker effect ). Similar to manipulation of ED and MD resonances, one can extend the concept to higher multipole resonances and achieve suppression of backward scattering (in this case, called generalized Kerker effect ), and both single‐particle and lattice‐induced generalized Kerker effects have been studied recently.…”

“…Lattice periods in the direction of particle emission mainly define effective electric and magnetic multipole moments taking into account the contributions from the lattice. For the light polarization E along the x ‐axis ( Figure ), the array period in x ‐direction d x controls the excitation of magnetic dipole lattice resonance (MD‐LR), and the period in y ‐direction d y controls the electric dipole lattice resonance (ED‐LR) . Similar models can be derived for higher multipole resonances, such as electric quadrupole lattice resonance (EQ‐LR) by calculating lattice sums of their moments .…”

Transparency and perfect absorption of all-dielectric resonant metasurfaces governed by the transverse Kerker effect

“…In particular, one can utilize the generalized Kerker effect in the metasurface composed of dielectric particles to suppress reflection from the high-index substrate, and in this case, the metasurface serves as an antireflective coating [27,28]. One important class of such structures are reflectionless all-dielectric Huygens' metasurfaces operating on spectrally overlapped MD and ED moments oriented perpendicular to each other with equal magnitude [29,30].…”