ИСТИНА

Light scattering by high refractive index (HRI) sphere is studied in detail based upon the exact Mie solution. It is shown, that the process is characterized by sharp, high-Q resonances affecting both the scattered field outside the particle and the one within it. However, the manifestation of the resonances in the former and later cases is quite different. For the scattered field outside the particle each partial mode exhibits an infinite cascade of the Fano resonances [1], see also [2]. Regarding the field within the particle, in contrast to the common believe that for a HRI particle this field is weak, it is shown that the resonances may give rise to a giant concentration of the electromagnetic field within the particle [1]. The obtained results are readily generalized to the case of a HRI cylinder and other exactly solvable cases. Qualitatively they remain valid for a HRI scatterer of any shape. These features of the light scattering problem provide physical grounds for numerous applications, especially those related to the design and engineering of high nonlinear heterogeneous nanostructures and cloaking metamaterials. [1] M.I.Tribelsky, A.E. Miroshnichenko, ArXiv:1511.02931v1 [physics.optics]; Phys. Rev. A in press. [2] M.V. Rybin et al, Optics Express, 21, 30107 (2013); Sci. Rep. 5, 8774 (2015).