Continued fraction solution for the radiative transfer equation in three dimensions
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 provide...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/18826 |
| Acceso en línea: | https://hdl.handle.net/2445/18826 |
| Access Level: | acceso abierto |
| Palabra clave: | Física estadística Termodinàmica Sistemes dinàmics diferenciables Matèria condensada Teoria del transport Statistical physics Thermodynamics Differentiable dynamical systems Condensed matter Transport theory |
| Sumario: | 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. |
|---|