Localization of electric field distribution in graded core-shell metamaterials

TL;DR

This paper analytically investigates how the electric field distribution in a graded core-shell metamaterial can be precisely controlled by adjusting frequency and material parameters, enabling spatial electric field manipulation.

Contribution

It provides an exact analytical solution for electric fields in graded metamaterials and demonstrates controllable electric field localization through gradation and frequency tuning.

Findings

Electric field peaks can be spatially confined within the shell.

Analytical solutions are derived using hyper-geometric functions.

Field distribution can be controlled by frequency and gradation parameters.

Abstract

The local electric field distribution has been investigated in a core-shell cylindrical metamaterial structure under the illumination of a uniform incident optical field. The structure consists of a homogeneous dielectric core, a shell of graded metal-dielectric metamaterial, embedded in a uniform matrix. In the quasi-static limit, the permittivity of the metamaterial is given by the graded Drude model. The local electric potentials and hence the electric fields have been derived exactly and analytically in terms of hyper-geometric functions. Our results showed that the peak of the electric field inside the cylindrical shell can be confined in a desired position by varying the frequency of the optical field and the parameters of the graded profiles. Thus, by fabricating graded metamaterials, it is possible to control electric field distribution spatially. We offer an intuitive explanation for the gradation-controlled electric field distribution.