Solution of Pure Scattering Radiation Transport Equation (RTE) using Finite Difference Method (FDM) (poster)
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 atmospheric s...
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ftunivtroemsoe:oai:munin.uit.no:10037/19749 2023-05-15T14:23:26+02:00 Solution of Pure Scattering Radiation Transport Equation (RTE) using Finite Difference Method (FDM) (poster) Khawaja, Hassan Moatamedi, Mojtaba 2018 https://hdl.handle.net/10037/19749 eng eng UiT The Arctic University of Norway Khawaja, H.; Moatamedi, M. (2018) Solution of Pure Scattering Radiation Transport Equation (RTE) using Finite Difference Method (poster) UIT The Arctic University of Norway. FRIDAID 1624446 https://hdl.handle.net/10037/19749 openAccess copyright 2018 the authors VDP::Technology: 500::Information and communication technology: 550::Other information technology: 559 VDP::Teknologi: 500::Informasjons- og kommunikasjonsteknologi: 550::Annen informasjonsteknologi: 559 Conference object Konferansebidrag 2018 ftunivtroemsoe 2021-06-25T17:56:10Z 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 atmospheric science, astrophysics, nuclear, optics, 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. 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 atmospheric science, astrophysics, nuclear, optics, 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. Conference Object Arctic University of Tromsø: Munin Open Research Archive |
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Open Polar |
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University of Tromsø: Munin Open Research Archive |
op_collection_id |
ftunivtroemsoe |
language |
English |
topic |
VDP::Technology: 500::Information and communication technology: 550::Other information technology: 559 VDP::Teknologi: 500::Informasjons- og kommunikasjonsteknologi: 550::Annen informasjonsteknologi: 559 |
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VDP::Technology: 500::Information and communication technology: 550::Other information technology: 559 VDP::Teknologi: 500::Informasjons- og kommunikasjonsteknologi: 550::Annen informasjonsteknologi: 559 Khawaja, Hassan Moatamedi, Mojtaba Solution of Pure Scattering Radiation Transport Equation (RTE) using Finite Difference Method (FDM) (poster) |
topic_facet |
VDP::Technology: 500::Information and communication technology: 550::Other information technology: 559 VDP::Teknologi: 500::Informasjons- og kommunikasjonsteknologi: 550::Annen informasjonsteknologi: 559 |
description |
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 atmospheric science, astrophysics, nuclear, optics, 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. 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 atmospheric science, astrophysics, nuclear, optics, 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. |
format |
Conference Object |
author |
Khawaja, Hassan Moatamedi, Mojtaba |
author_facet |
Khawaja, Hassan Moatamedi, Mojtaba |
author_sort |
Khawaja, Hassan |
title |
Solution of Pure Scattering Radiation Transport Equation (RTE) using Finite Difference Method (FDM) (poster) |
title_short |
Solution of Pure Scattering Radiation Transport Equation (RTE) using Finite Difference Method (FDM) (poster) |
title_full |
Solution of Pure Scattering Radiation Transport Equation (RTE) using Finite Difference Method (FDM) (poster) |
title_fullStr |
Solution of Pure Scattering Radiation Transport Equation (RTE) using Finite Difference Method (FDM) (poster) |
title_full_unstemmed |
Solution of Pure Scattering Radiation Transport Equation (RTE) using Finite Difference Method (FDM) (poster) |
title_sort |
solution of pure scattering radiation transport equation (rte) using finite difference method (fdm) (poster) |
publisher |
UiT The Arctic University of Norway |
publishDate |
2018 |
url |
https://hdl.handle.net/10037/19749 |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
Khawaja, H.; Moatamedi, M. (2018) Solution of Pure Scattering Radiation Transport Equation (RTE) using Finite Difference Method (poster) UIT The Arctic University of Norway. FRIDAID 1624446 https://hdl.handle.net/10037/19749 |
op_rights |
openAccess copyright 2018 the authors |
_version_ |
1766295978099343360 |