For many years, nanophotonics was based on plasmonics and tight field confinement of light in metallic nanostructures. However, Ohmic losses at optical frequencies pose substantial restrictions on performance of photonic devices exploiting metallic components, thus limiting their practical use. Recently emerged new platform for nanophotonics based on high-index dielectric nanoparticles opens a whole new realm of all-dielectric resonant nanophotonics and meta-optics [1-3]. High-permittivity nanoparticles exhibit strong interaction with light due to the excitation of electric and magnetic Mie-type resonances, so thatthe entire field of nano-optics in such subwavelength dielectric geometries becomes driven by multipolar modes and their interference. Recently suggested nanoscale laser is based on a tightly confined anapole mode, produced by interference of the dipole and toroidal modes [(a)]. Designed as an optically pumped semiconductor nanodisk, it enables efficient coupling to waveguides and new mechanisms of mode-locking for ultrafast laser pulse generation, thus offering an attractive platform for advanced photonic circuitry.
Multipolar generation can reshape nonlinear effects at the nanoscale. Utilizing Mie resonances in resonant dielectric nanoparticles we gain high efficiencies of nonlinear processes at low modal volumes and novel functionalities originating from optically-induced magnetic response.
These ideas can be employed for achieving the broadband operation of meta-optics holograms. Attracting concepts of complex wavefront engineering and multimodal resonant response, we can design highly-transparent silicon holograms that allow high-resolution images to be encoded.
References  A. Kuznetsov et al, Science 354, aag2472 (2016).  K. Koshelev et al, Science 367 (6475), 288-292 (2020).  Y. Kivshar, The rise of Mie-tronics, Nano Letters 22 (9), 3513-3515 (2022).
Backround knowledge of optics and electromagnetism is required for this project