Abstract

Despite the fact that incandescent sources are usually spatially incoherent, it has been known for some time that a proper design of a thermal source can modify its spatial coherence. A natural question is whether it is possible to extend this analysis to electroluminescence and photoluminescence. A theoretical framework is needed to explore these properties. In this paper, we extend a general coherence-absorption relation valid at equilibrium to two non-equilibrium cases: luminescent bodies and anisothermal bodies. We then use this relation to analyse the differences between the isothermal and anisothermal cases and to study the near-field emission of an electroluminescent source.

Highlights

  • Light emission due to spontaneous emission by a thermalized ensemble of emitters is a priori expected to be spatially incoherent

  • In the non-equilibrium case, we considered only radiation emitted by the silicon carbide (SiC) and propagating away from it

  • Provided that the temperature and potential associated to excitation of a coupling mechanism are uniform over a given region, a simple reciprocity relation exists between the correlation of the fields emitted from this region by this coupling mechanism and the associated mixed losses. This generalized coherence-absorption relation gives access to the coherence properties of light emitted by sources by computing or measuring losses

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Summary

Introduction

Light emission due to spontaneous emission by a thermalized ensemble of emitters is a priori expected to be spatially incoherent. Previous experiments had shown how to take advantage of surface plasmons or guided modes to tailor the source directivity [3,8,9] All these experiments showing interferences or directivity reveal the presence of spatial coherence which can be fully characterized by the cross-spectral density tensor. For incandescent emitters at uniform temperature, the cross-spectral density tensor of the fields is directly proportional to the complex conjugate of the mixed losses [12]. This result has been discussed independently in the context. We use a spectral approach and assume an exp(−jωt) time dependency of the fields and currents

Spatial correlation of luminescent fields
Mixed losses and relation to spatial coherence
Numerical example
Conclusion
Spontaneous emission
Power absorption
Extended reciprocity
Alternative derivation of the CDOS
Full Text
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