Polarizability approximations generalized to dielectric nanospheres

Point-like models are simplified expressions of the polarizability that are commonly employed to study the light scattering by small particles. These models, such as the quasistatic approximation, have played a key role in plasmonics in the understanding of the resonant light interaction with metallic nanoparticles. However, these models fail to predict morphological resonances hosted by dielectric particles. This study aims to derive point like models that can describe dipolar resonances of particles made of either positive or negative permittivity.