Clausius-Mossotti Relation Revisited: Media with Electric and Magnetic Response

TL;DR

This paper revisits the Clausius-Mossotti relation to explore materials with simultaneous electric and magnetic responses, revealing conditions for negative index materials and confirming findings through large-scale simulations.

Contribution

It provides a self-consistent theoretical analysis of media with electric and magnetic responses, uncovering conditions for negative index behavior and validating results with extensive simulations.

Findings

Materials with negative real parts of permittivity and permeability can emerge from electric-magnetic interactions.

Theoretical predictions are confirmed by simulations involving 10^10 particles.

Results suggest pathways for designing exotic electromagnetic materials.

Abstract

A reexamination of the Clausius-Mossotti relation in which material with both electric and magnetic responses yields surprising results. Materials with indices near zero and with real parts less than zero, that is the real part of both the permeability and permittivity are negative, are found to emerge from the interaction of electric and magnetic responses in a self-consistent theory. The new results point the way to artificial and natural materials with exotic responses. A simulation with 10^10 particles shows good agreement with the analytical results.