Multipole analysis of dielectric metasurfaces composed of nonspherical nanoparticles and lattice invisibility effect

Abstract

An effective semi-analytical method for analysing of the Cartesian multipole contributions in light transmission and reflection spectra of flat metasurfaces composed of identical nanoparticles is developed and demonstrated. The method combines numerical calculation of metasurface reflection and transmission coefficients with their multipole decompositions. The developed method is applied for the multipole analysis of reflection and transmission spectra of metasurfaces composed of silicon nanocubes or nanocones. In the case of nanocubes, we numerically demonstrate a "lattice invisibility effect", when light goes through the metasurface almost without amplitude and phase perturbations with the simultaneous excitation of nanoparticles multipole moments. The effect is realized due to destructive interference between the fields generated by the basic multipole moments of nanoparticles in the backward and forward directions. For metasurfaces composed of conical nanoparticles, we show that their transmission coefficient does not depend on illumination direction. In contrast, the reflection and absorption can be different for the illumination from different metasurface sides, which is associated with the excitation of different multipoles. We believe, our results could be useful for analysis and understanding of the electromagnetic properties of nanoparticle arrays and pave the way for the design of novel metasurfaces for various optical applications.

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

“…We have further validated our analytical predictions against numerical simulations and experiments. In accordance with our available experimental means, we have chosen the microwave range of the spectrum (8)(9)(10)(11)(12)(13)(14)(15) to demonstrate the manifestation of the invisibility effect. We consider particle arrangements constituted of a lowloss, high-permittivity microwave ceramic, manufactured in the shapes of disks and cubes ( Fig.…”

“…Furthermore, this exact solution has been extensively studied and successfully applied to describe scattering by particles of various shapes and compositions (see the comprehensive overviews of available theories in [5][6][7] and references therein). Besides, considerable effort has been devoted into solving scattering problems with simpler and more compact mathematical formulations targeted for various practical applications [8][9][10][11][12].…”

Transverse Scattering and Generalized Kerker Effects in All-Dielectric Mie-Resonant Metaoptics

“…In particular, strong forward-to-backward asymmetric scattering (often termed as the Kerker effect) is achieved as a result of interfering electric and magnetic dipole modes [5][6][7][8][9] or quadrupole modes with appropriate phase relations [4,10,11]. The Kerker effect is also of a great interest to the near-field directionality of Huygens' dipoles [12], and it drives the physics of highly efficient Mie-resonant passive and active dielectric metasurfaces and metadevices [13][14][15][16][17].…”

Transmission and reflection features of all-dielectrics metasurfaces with electric and magnetic resonances

“…Similar conditions provide homogeneous side scattering for the single particle 22,23 and so-called lattice invisibility effect for the infinite array. 20 In turn, at λ ≈ 1294 nm multipole contributions are not equal to each other; TED and MQ provide dominant contribution at this wavelength. The phases of multipole contributions are equal as well as for λ ≈ 1494 nm ( Fig.…”

“…Here we use the multipole decomposition approach reported in Ref. 20 to study the cubic silicon metasurface in near-infrared. The infinite two-dimensional (2D) array of nanocubes is placed in (xy) plane and illuminated with a linearly polarized plane wave with x-polarization.…”