Recent years have witnessed an inflow of ideas from quantum field theory and condensed matter physics into the field of optics. In this talk, we describe how notions from topological physics and supersymmetry can be used in designing novel laser arrays with properties that are of interest in some applications. Likewise, such lasing arrangements can be used to emulate a variety of topological and supersymmetric phenomena, beyond what is possible in their respective original platforms.
Recent developments in the physics of Mie-resonant high-index dielectric nanostructures suggested a promising pathway to improve efficiencies of the nonlinear light conversion beyond the limits imposed by plasmonics. Here, we employ the concept of bound states in the continuum to experimentally demonstrate a sharp enhancement of the second-harmonic generation efficiency at localized states formed via destructive interference of two leaky modes. For an AlGaAs subwavelength disk with optimized parameters, pumped with a structured light and placed on an engineered multilayered substrate, we observe the record-high conversion efficiency compared to the previous demonstrations with isolated subwavelength resonators.
We report on the experimental and numerical results for the second-harmonic generation spectroscopy by doughnut-shaped cylindrical vector beams of azimuthal and radial polarizations in individual subwavelength AlGaAs particles, which support multipolar Mie resonances at the fundamental and double frequencies. We observe high-Q resonant optical modes associated with bound states in the continuum for the azimuthally polarized pump beam with the record-high efficiency (0.1%) of the up-conversion nonlinear optical process due to a strong electromagnetic field confinement. Our findings provide an important step towards a design of resonant subwavelength all-dielectric nanostructures with tailored efficiencies of nonlinear optical phenomena at the nanoscale.