Results 251 to 260 of about 3,365,054 (297)

The rosseland approximation for the radiative transfer equations

Communications on Pure and Applied Mathematics, 1987
The 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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Validity conditions for the radiative transfer equation

Journal of the Optical Society of America A, 2003
We 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, Jorge, Bouza-Domínguez, Jeremy C, Hebden, Simon R, Arridge, René A, Martínez-Celorio   +4 more
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On solutions to the Pn equations for thermal radiative transfer

Journal of Computational Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryan G. McClarren, James Paul Holloway, Thomas A. Brunner   +2 more
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Radiative Exergy Transfer Equation

Journal of Thermophysics and Heat Transfer, 2007
A = 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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An Efficient Solution Technique for the Radiative Transfer Equation

IMPACT of Computing in Science and Engineering, 1993
The discretization of the multidimensional radiative transfer equation results in a very large linear system of equations. The standard solution method used by astrophysicists is a simplified fixed point iteration (called approximate \(\Lambda\)-iteration) which becomes slow for the problems most interesting in astrophysics.
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The equation of radiative transfer with scattering

Journal of Quantitative Spectroscopy and Radiative Transfer, 1968
Abstract 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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Half-Moment Closure for Radiative Transfer Equations

Journal of Computational Physics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dubroca, B., Klar, A.
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Coupled radiative transfer equation and diffusion approximation

SPIE Proceedings, 2005
A 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, Marko Vauhkonen, Ville Kolehmainen, Jari P. Kaipio   +3 more
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The tensor radiative transfer equation

Journal of Physics A: Mathematical and General, 2000
Summary: 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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Approximate Scalar Equations for Polarized Radiative Transfer

Advances in Optical Imaging and Photon Migration, 1998
An asymptotic analysis of the radiative transfer equation with polarization is developed that leads to a renormalized scalar equation for the total specific intensity of radiation I, the first Stokes parameter, in three-dimensional geometries. The resulting scalar equation can be used without the complexity of performing vector radiative computations ...
G. C. Pomraning, N. J. McCormick
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