Analytical Study of Light Scattering Characteristics of Radially Inhomogeneous Subwavelength Spheres

In this work the electrostatic problem of a subwavelength core-shell sphere exhibiting a radially inhomogeneous permittivity profile is considered. The general mathematical treatment for the electrostatic polarizability will be presented in terms of scattering potentials. The case of a power-law profile and a new class of permittivity profiles that exhibit an exponential-radial dependence are considered. The presented theoretical results can open multiple avenues towards the exploration/implementation of scatterers with more exotic permittivity profiles for RF/optics and remote sensing applications.