Abstract
A variational approach based on a functional of the polarization charge density atinterfaces between different dielectric bodies is used to calculate the energy ofelectrostatic interaction between two electric charges embedded in eithertwo spherical dielectric cavities or in one spheroidal cavity. An effective,distance-dependent dielectric function is extracted from these results, which isexact within the macroscopic theory of dielectrics. We show that differentdielectric functions must be associated with pairs of equally or oppositelycharged ions and with pairs of ions in cavities of the same or differing radii.
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