Abstract
The aim of this Chapter is to introduce concepts and methods for modelling radiative transfer on short length scales. Electromagnetic radiation propagating in an arbitrary medium is characterised by various length scales: wavelength, coherence length, mean free path (of scattering, transport, or absorption), and skin depth. In order to cover several areas of interest for micro and nanoheat transfer, the discussion is divided into two parts.
In the first part (Sects. 1–3), we consider the propagation of radiation in scattering and absorbing media. The basic tool is the equation of radiative transfer. We shall consider in particular the case of systems with characteristic sizes of the order of the mean free path l (or in which the evolution time is of the order of l/c, where c is the energy propagation speed), but which remain large compared with the wavelength and the coherence length. We describe the various transport regimes (ballistic, multiple scattering and diffusive) and stress the analogy between this situation and the problem of heat conduction.
In the second part (Sect. 4), we treat the case of systems with characteristic sizes less than the wavelength and the coherence length. An electromagnetic formalism is then essential for modelling radiative transfer. We introduce a general calculational method based on the fluctuation–dissipation theorem. This method will be used in the Chapter by Joulain in this volume, which is devoted to the study of radiative transfer in nanostructures.
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Carminati, R. Introduction to Radiative Transfer. In: Volz, S. (eds) Microscale and Nanoscale Heat Transfer. Topics in Applied Physics, vol 107. Springer, Berlin, Heidelberg . https://doi.org/10.1007/11767862_4
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DOI: https://doi.org/10.1007/11767862_4
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