Revisit of generalized Kerker's conditions using composite metamaterials

Achieving zero backward scattering (ZBS) and zero forward scattering (ZFS), i.e., the so-called the first and second Kerker's conditions respectively, by sphere spherical particles is considered to be impossible due to the unavailability of naturally occurring magnetic materials in the visible frequency range. We report theoretical modeling to design composite metamaterials that present large optical magnetic permeability in the visible frequency range by employing Mie scattering theory and extended Maxwell Garnett theory. We numerically show that a careful selection of constituents of a composite metamaterial one can obtain metamaterials with sufficiently large artificial permeability that eventually provides the Kerker's criterion to achieve the Kereker's conditions. By taking realistic material parameters we demonstrate that the metamaterials exhibiting ZBS and ZFS have a small imaginary part of the refractive index than metallic structures that pave a path to design high-performance nanophotonic devices.