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Basic Equations for Radiative Transfer
2020A light-ray (a bundle of photons) travels through and interacts with gaseous materials, via emission, absorption, and scattering. The intensity of a light-ray obeys a linear integro-differential equation, the so-called radiative transfer equation, which is just the Boltzmann equation for photons.
Shoji Kato, Jun Fukue
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Validity conditions for the radiative transfer equation
Journal of the Optical Society of America A, 2003We compare the radiative transfer equation for media with constant refractive index with the radiative transfer equation for media with spatially varying refractive indices [J. Opt. A Pure App. Opt. 1, L1 (1999)] and obtain approximate conditions under which the former equation is accurate for modeling light propagation in scattering media with ...
Luis, Martí-López +4 more
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The rosseland approximation for the radiative transfer equations
Communications on Pure and Applied Mathematics, 1987The radiative transfer system of equations for unknown functions \(u^{\epsilon}=u^{\epsilon}(x,\Omega,\nu)\), \(T^{\epsilon}=T^{\epsilon}(x)\) \((x\in X\subset R^{N+1}\), \(\Omega\) is unit direction vector, \(\nu >0)\) is considered. Results of Rosseland approximation are given and the existence of a solution of the radiative transfer system is proved.
Bardos, C., Golse, F., Perthame, B.
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On solutions to the Pn equations for thermal radiative transfer
Journal of Computational Physics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryan G. McClarren +2 more
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Radiative Exergy Transfer Equation
Journal of Thermophysics and Heat Transfer, 2007A = surface area of the opaque solid boundary a = spectral radiation exergy loss per unit surface a = spectral radiation exergy loss per unit volume c = speed of light eM; = local net exergy increment in the wall medium due to absorbing spectral radiation heat eR; = local net increment of spectral radiation exergy in the radiative field at the opaque ...
L. H. Liu, S. X. Chu
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Coupled radiative transfer equation and diffusion approximation
SPIE Proceedings, 2005A coupled radiative transfer equation and diffusion approximation model for photon migration in tissues is proposed. The light propagation is modeled with the radiative transfer equation in sub-domains in which the assumptions of the diffusion approximation are not valid and the diffusion approximation is used elsewhere in the domain.
Tanja Tarvainen +3 more
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The equation of radiative transfer with scattering
Journal of Quantitative Spectroscopy and Radiative Transfer, 1968Abstract The photon equation of transfer for an arbitrary scattering process and including the effects of induced scattering is examined in full geometric generality in the polarization-independent approximation. Several approximations are introduced which retain the essential physics of the situation but considerably simplify the mathematics.
G.C. Pomraning, B.E. Freeman
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Derivation of the Radiative Transfer Equation
AIP Conference Proceedings, 2007The radiative transfer equation can be regarded as the potential equation of a classical Markov process. The transition probability of this Markov process can be understood by considering the scattering of a photon by an atom and then taking the limits of geometrical optics and of singular coupling.
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The tensor radiative transfer equation
Journal of Physics A: Mathematical and General, 2000Summary: The vector radiative transfer equation is used for the solution of numerous problems in the field of random media optics. It describes the transformation of the Stokes vector of a light beam due to its propagation and scattering in a medium. However, the Stokes vector depends on the choice of a coordinate system. Thus, one needs to account for
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