Artificial magnetism in theory of wave multiple scattering by random discrete non-magnetic conducting media

TL;DR

This paper demonstrates how wave multiple scattering in disordered media can induce an effective magnetic response, specifically diamagnetism, through spatial dispersion and dipole interactions, expanding understanding of artificial magnetism.

Contribution

It introduces a theoretical framework linking Dyson equation-based scattering theory to an effective magnetic permeability in non-magnetic media, revealing diamagnetic behavior.

Findings

Effective magnetic permeability exhibits diamagnetism due to wave scattering.

Spatial dispersion leads to anisotropic dielectric permittivity tensor.

Diamagnetism is enhanced by additional dielectric displacement currents.

Abstract

We show that technique of Dyson equation in wave multiple scattering by spatially disordered discrete medium statistical theory leads directly to a dielectric permittivity tensor, which is characterized by spatial dispersion and obeys the generalized Lorentz-Lorenz formula. Introduced via this spatial dispersion an effective magnetic permeability demonstrates the diamagnetic property in limit of independent strongly reflected non-magnetic small spherical particles in accordance with earlier intuitive predictions. The revealed physical nature of the effective diamagnetic property consists in that electric and magnetic dipoles induced in a particle by wave scattering give different contribution into the transverse and longitudinal components of the effective dielectric permittivity. Besides as appeared the diamagnetism under study is enhanced by appearance of additional effective dielectric displacement current in the medium.