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

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.