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

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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.

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Coherent emission of light by thermal sources.

Jean-Jacques Greffet, Rémi Carminati, Karl Joulain … (2002)

A thermal light-emitting source, such as a black body or the incandescent filament of a light bulb, is often presented as a typical example of an incoherent source and is in marked contrast to a laser. Whereas a laser is highly monochromatic and very directional, a thermal source has a broad spectrum and is usually quasi-isotropic. However, as is the case with many systems, different behaviour can be expected on a microscopic scale. It has been shown recently that the field emitted by a thermal source made of a polar material is enhanced by more than four orders of magnitude and is partially coherent at a distance of the order of 10 to 100nm. Here we demonstrate that by introducing a periodic microstructure into such a polar material (SiC) a thermal infrared source can be fabricated that is coherent over large distances (many wavelengths) and radiates in well defined directions. Narrow angular emission lobes similar to antenna lobes are observed and the emission spectra of the source depends on the observation angle--the so-called Wolf effect. The origin of the coherent emission lies in the diffraction of surface-phonon polaritons by the grating.