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Article

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2001

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18826

Continued fraction solution for the radiative transfer equation in three dimensions

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http://dx.doi.org/10.1103/PhysRevE.61.6248

Abstract

Starting from the radiative transfer equation, we obtain an analytical solution for both the free propagator along one of the axes and an arbitrary phase function in the Fourier-Laplace domain. We also find the effective absorption parameter, which turns out to be very different from the one provided by the diffusion approximation. We finally present an analytical approximation procedure and obtain a differential equation that accurately reproduces the transport process. We test our approximations by means of simulations that use the Henyey-Greenstein phase function with very satisfactory results.

Subject

Física estadística, Termodinàmica, Sistemes dinàmics diferenciables, Matèria condensada, Teoria del transport

Subject (English)

Statistical physics, Thermodynamics, Differentiable dynamical systems, Condensed matter, Transport theory

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

BOGUÑÁ, Marián, PORRÀ I ROVIRA, Josep Maria and MASOLIVER, Jaume. Continued fraction solution for the radiative transfer equation in three dimensions. Physical Review e. 2001. Vol. 61, num. 6, pags. 6248-6254. ISSN 1063-651X. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/18826

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