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Updated: Jul 31, 2026

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Continued fraction solution for the radiative transfer equation in three dimensions
1Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20892, USA.
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.
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