Recent development of conception of trapped modes in low-loss all-dielectric metamaterials

We report on a progress in development of an idea that a proper arrangement of dielectric particles with a particular structural asymmetry which are made from a low-loss high-refractive-index material allows to reach high-Q trapped-mode resonant conditions in planar metamaterials in the microwave, infrared and visible parts of spectrum. In these metamaterials an electromagnetic coupling between the displacement currents in adjacent particles or within a single particle per unit cell induces the field concentration inside the system which can enforce a number of phenomena like luminescence, nonlinear scattering, and lasing.