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Solution of Pure Scattering Radiation Transport Equation (RTE) Using Finite Difference Method (FDM)

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https://hdl.handle.net/10037/12236
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article.pdf (1.242Mb)
Main article, manuscript version (PDF) (PDF)
Dato
2017-05-19
Type
Peer reviewed
Book
Bok
Bokkapittel
Chapter

Forfatter
Khawaja, Hassan Abbas
Sammendrag
Radiative transfer is the physical phenomenon of energy transfer in the form of electromagnetic radiation. The propagation of radiation through a medium is affected by absorption, emission, and scattering. Radiative Transfer Equation (RTE) have been applied in a many subjects including optics, astrophysics, atmospheric science, remote sensing, etc. Analytic solutions for RTE exist for simple cases, but, for more realistic media with complex multiple scattering effects, numerical methods are required. In the RTE, six different independent variables define the radiance at any spatial and temporal point. By making appropriate assumptions about the behavior of photons in a scattering medium, the number of independent variables can be reduced. These assumptions lead to the diffusion theory (or diffusion equation) for photon transport. In this work, the diffusive form of RTE is discretized, using a Forward-Time Central-Space (FTCS) Finite Difference Method (FDM). The results reveal the radiance penetration according to Beer-Lambert law.
Beskrivelse
Embargoed access, author's post-print on any open access repository after 12 months of publication. Link to publisher's version: http://doi.org/10.1007/978-3-319-59126-1_41
Forlag
Springer
Serie
Lecture Notes in Computer Science, vol 10269
Sitering
Khawaja HA. Solution of Pure Scattering Radiation Transport Equation (RTE) Using Finite Difference Method (FDM). Lecture Notes in Computer Science vol. 10269, 2017
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