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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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Radiative transfer equation for multiple diffraction
The Journal of the Acoustical Society of America, 2005This paper aims to apply the radiative transfer method to acoustical diffraction by obstacles. Some fictitious sources are introduced at diffracting wedges and a transfer equation based on energy balance determines the diffracted powers. It leads to a set of linear equations on diffracted powers which can be solved in a finite number of steps.
Emeline Reboul +2 more
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Radiative energy transfer I. General equations
Journal of Luminescence, 1981Abstract A set of equations is derived which makes possible to study the radiative energy transfer process whereby the photons emitted by the energy donor are absorbed by the energy acceptor and so increase the efficiency of the overall energy transfer.
J.C. Conte, J.M.G. Martinho
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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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Radiative energy transfer equation
1974The equation of radiative energy transfer can be obtained emphasizing the particle aspect of radiation and considering therefore the radiation field composed by n(r) photons per unit volume.
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Transient radiative transfer equation applied to oceanographic lidar
Applied Optics, 1999We estimate the optical signal for an oceanographic lidar from the one-dimensional transient (time-dependent) radiative transfer equation using the discrete ordinates method. An oceanographic lidar directs a pulsed blue or green laser into the ocean and measures the time-dependent backscattered light. A large number of parameters affect the performance
K, Mitra, J H, Churnside
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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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3D \(B_2\) model for radiative transfer equation
2020Summary: We proposed a 3D \(B_2\) model for the radiative transfer equation. The model is an extension of the 1D \(B_2\) model for the slab geometry. The 1D \(B_2\) model is an approximation to the 2nd order maximum entropy \((M_2)\) closure and has been proved to be globally hyperbolic.
Li, Ruo, Li, Weiming
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