Radiative Corrections to the Off-Resonant Maxwell-Garnett Dielectric Constant and the Spectrum of Emission

TL;DR

This paper calculates the radiative corrections to the dielectric constant of a Maxwell-Garnett dielectric at off-resonance frequencies and derives the spectrum of coherent emission, including local field effects and corrections beyond the MG model.

Contribution

It provides a detailed computation of radiative corrections to the dielectric constant and emission spectrum in MG dielectrics, incorporating local field factors and recurrent scattering effects.

Findings

Derived an exact spectrum of coherent emission for MG dielectrics.

Showed that the emission spectrum contains only a local field factor, contrary to common assumptions.

Proposed experiments to validate the theoretical predictions in 2D and 3D samples.

Abstract

We compute the dielectric constant of a Maxwell-Garnett (MG) dielectric renormalized by radiative corrections at off-resonance frequencies. To this aim, the self-energy of the dipole constituents of the dielectric is calculated following Ref.1. The spectrum of coherent emission is obtained in exact form for the MG model. Contrarily to the common assumption, its expression contains an only local field factor. Beyond the MG model, leading order corrections due to recurrent scattering are implemented. Several experiments are proposed to validate our results in both three and two dimensional samples.