A boundary-value problem for the polarized-radiation transfer equation with Fresnel interface conditions for a layered medium

DOI10.1016/J.CAM.2010.10.001zbMath1213.65154OpenAlexW2068430420MaRDI QIDQ629442

I. V. Prokhorov, Andrey E. Kovtanyuk

Publication date: 9 March 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.10.001

zbMATH Keywords

numerical examplesMonte Carlo methodboundary value problemlayered mediumFresnel interface conditionspolarized-radiation transfer equationvector transfer equation

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05)

Related Items (9)

Initial-boundary value problem for the non-stationary radiative transfer equation with Fresnel reflection and refraction conditions ⋮ Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions ⋮ Radiative transfer equation with Fresnel reflection and refraction conditions in a system of bodies with piecewise smooth boundaries ⋮ The cauchy problem for the radiative transfer equation with generalized conjugation conditions ⋮ Solvability of the initial-boundary value problem for an integrodifferential equation ⋮ On the well-posedness of the Cauchy problem for the equation of radiative transfer with Fresnel matching conditions ⋮ Boundary value problem for radiation transfer equation in multilayered medium with reflection and refraction conditions ⋮ Initial-boundary value problem for a radiative transfer equation with generalized matching conditions ⋮ Initial boundary value problem for the radiative transfer equation with diffusion matching conditions

Cites Work

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• The vector Riemann-Hilbert boundary value problem in boundary value problems of the scattering of polarized light
• Method of solution of the radiation transfer equation for an optically thick layer with reflecting boundaries
• Tomography problem for the polarized-radiation transfer equation
• Probabilistic Theory of Transport Processes with Polarization
• Diffusion Approximation of Radiative Transfer Problems with Interfaces
• On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces
• An extremum problem for the radiation transfer equation

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