Polarization of Charged Spherical Dielectric Core-Shell

TL;DR

This paper derives analytical solutions for electrostatic energy and polarization charge densities in a spherical dielectric core-shell with two point charges, considering different dielectric constants in each region.

Contribution

It provides a novel classical analytical framework for calculating electrostatic properties in core-shell dielectric systems with embedded charges.

Findings

Analytical expressions for electrostatic energy are derived.

Polarization charge densities at interfaces are characterized.

The model accounts for different dielectric constants in core, shell, and environment.

Abstract

Two point charges are placed in a spherical dielectric core-shell embedded in a dielectric environment, one of the charges being located in the core and the other in the shell. The core, shell, and environment are characterized by different dielectric constants. Analytical solutions for the electrostatic energy of the system and the polarization charge density at the core-shell and shell-environment interfaces are obtained by a classical approach.