Correction to “Functional Meta-Optics and Nanophotonics Govern by Mie Resonances”

Abstract

Scattering of electromagnetic waves by subwavelength objects is accompanied by the excitation of electric and magnetic Mie resonances, that may modify substantially the scattering intensity and radiation pattern. Scattered fields can be decomposed into electric and magnetic multipoles, and the magnetic multipoles define magnetic response of structured materials underpinning the new field of all-dielectric resonant meta-optics.Here we review the recent developments in meta-optics and nanophotonics, and demonstrate that the Mie resonances can play a crucial role offering novel ways for the enhancement of many optical effects near magnetic and electric multipolar resonances, as well as driving a variety of interference phenomena which govern recently discovered novel effects in nanophotonics. We further discuss the frontiers of all-dielectric meta-optics for flexible and advanced control of light with full phase and amplitude engineering, including nonlinear nanophotonics, anapole nanolasers, quantum tomography, and topological photonics. Accepted to ACS PhotonicsIt is well known that natural materials do not demonstrate any magnetic properties at optical frequencies, this is because a direct action of the optical magnetic field on matter is much weaker than electric ones. Nevertheless, the manifestation of "optical magnetism" is found in specifically designed artificial subwavelength structures that allow strong magnetic response, even when such structures are made of non-magnetic materials. This progress became possible due to the fascinating field of electromagnetic metamaterials that describes optical structures composed of subwavelength elements, often called "meta-atoms", and specific localized fields these structures may support, creating a platform for metadevices 1 .It has been established that the use of artificial "metaatoms" would allow to engineer magnetic permeability µ and magnetic response by achieving strong resonances in structured systems made of non-magnetic materials. Although real magnetism in its conventional sense is not available at high optical frequencies, it is possible to engineer the spatial dispersion and nonlocal electric effects in such a way to induce a strong magnetic dipole moment even though the involved materials do not possess microscopic magnetization.Classical "meta-atom" is a metallic split-ring resonator where electrons oscillate back and forth creating an effective loop of current, and thus, an efficient magnetic response. The concept of split-ring resonators was first introduced at microwaves to realize artificial magnetic inclusions with subwavelength footprint, and then it was translated to the optical spectral range exploiting the plasmonic features of metallic nanoparticles 2 . By now, this concept was realized in many non-magnetic plasmonic structures ranging from nanobars 3 and nanoparticle complexes often called "oligomers" 4,5 to split-ring-based structures 6,7 and more complicated structures associated with hyperbolic-type magnetic response of fishnet metamateria...

Multipolar second-harmonic generation by Mie-resonant dielectric nanoparticles

“…+A M 1,1 j1(k(ω)r) (X1,1(θ, ϕ) + X1,−1(θ, ϕ)) , (1) where k(ω) = k 0 ε(ω) is wavenumber in the medium, k 0 = ω/c, j 1 (k(ω)r) is spherical Bessel function of order l = 1, X 1,1 (θ, ϕ) are vector spherical harmonics (in the spherical coordinate system associated with z axis), A E 1,1 and A M 1,1 are coefficients known from Mie theory [40]. The pronounced character of the low-order Mie resonances is essential for many applications of highpermittivity dielectric nanoparticles in low-index environment [1,41] and for the analysis we develop below. We specifically focus on Mie-resonant dielectric nanoparticles, whose sizes correspond to the resonant excitation of the leading magnetic dipole and electric dipole modes at the laser fundamental wavelength, as shown in Fig.…”

Scattering from Spheres: A New Look into an Old Problem

“…The described approach can be directly applied to research problems that currently use Mie scattering. One example is the design of metasurfaces, which enable unconventional phenomena, such as perfect absorption, holography, electromagnetic invisibility and much more [ 10 , 31 – 33 ]. In such application, the Mie coefficients are combined with homogenization techniques to evaluate the electromagnetic response of an array of high permittivity dielectric spheres, deriving a surface impedance.…”

Complete Terahertz Polarization Control with Broadened Bandwidth via Dielectric Metasurfaces

“…Electromagnetic wave scattered from a dielectric antenna can be decomposed into multipoles with different symmetries [23]. When the dielectric antenna is arranged into arrays in metasurfaces, the scattered field E can be expressed as a sum of a symmetric component E s and an anti-symmetric component E as .…”