A revisit to the quasistatic analysis of hyperbolic metamaterial supported core-shell nanoparticle

Abstract

A study of the interaction of light with a certain kind of nanoparticle –a core–shell nanoparticle with the shell being of the multilayer hyperbolic metamaterial (HMM) kind–was reported before (Baqir et al. (2021)). However, the study had certain limitations regarding the choice of filling fraction used in the construction of the HMM shell. Herein, the constraints were highlighted and an attempt was made to obtain an appropriate formula for the effective dielectric function of the system for the case ɛt/ɛr<−1/8, where ɛr and ɛt being the radial and tangential components of HMM relative permittivity.

Keywords

• Hyperbolic metamaterial
• Quasistatic theory
• Core–shell nanoparticle