Optical superresonance and generation of extreme magnetic fields in mesoscale dielectric spheres

The history of classical optics is associated with dielectric lenses, with a Mie size parameter, q=2πR/λ (where R is the radius sphere, and λ is the radiation wavelength) of about q>100, where the geometrical optics approximation is valid. The optically resonant dielectric nanostructures with a high refractive index has the size parameter of the one, q~1. But the dielectric particles with q ~ 10, are in the region between the wave and geometric optics turned out to be a "black spot" on the map of dielectric photonics. However, the studies on the optics of dielectric spheres of mesoscale sizes over the past twenty years, discover a number of unusual phenomena, including optical vortices, single and double both photonic nanojets and photonic hook, high-order Fano resonances, and the excitation of giant magnetic fields. The report gives a brief overview of these phenomena. The presence of a number of interesting applications indicates a new promising direction in photonics called mesotronics.