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...