Analytical solutions of the radiative transport equation for turbid and fluorescent layered media

Accurate and efficient solutions of the three dimensional radiative transport equation were derived in all domains for the case of layered scattering media. Index mismatched boundary conditions based on Fresnel’s equations were implemented. Arbitrary rotationally symmetric phase functions can be app...

Descripción completa

Detalles Bibliográficos
Autores principales: Liemert, André, Reitzle, Dominik, Kienle, Alwin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5476600/
https://www.ncbi.nlm.nih.gov/pubmed/28630496
http://dx.doi.org/10.1038/s41598-017-02979-4
_version_ 1783244618946576384
author Liemert, André
Reitzle, Dominik
Kienle, Alwin
author_facet Liemert, André
Reitzle, Dominik
Kienle, Alwin
author_sort Liemert, André
collection PubMed
description Accurate and efficient solutions of the three dimensional radiative transport equation were derived in all domains for the case of layered scattering media. Index mismatched boundary conditions based on Fresnel’s equations were implemented. Arbitrary rotationally symmetric phase functions can be applied to characterize the scattering in the turbid media. Solutions were derived for an obliquely incident beam having arbitrary spatial profiles. The derived solutions were successfully validated with Monte Carlo simulations and partly compared with analytical solutions of the diffusion equation.
format Online
Article
Text
id pubmed-5476600
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-54766002017-06-23 Analytical solutions of the radiative transport equation for turbid and fluorescent layered media Liemert, André Reitzle, Dominik Kienle, Alwin Sci Rep Article Accurate and efficient solutions of the three dimensional radiative transport equation were derived in all domains for the case of layered scattering media. Index mismatched boundary conditions based on Fresnel’s equations were implemented. Arbitrary rotationally symmetric phase functions can be applied to characterize the scattering in the turbid media. Solutions were derived for an obliquely incident beam having arbitrary spatial profiles. The derived solutions were successfully validated with Monte Carlo simulations and partly compared with analytical solutions of the diffusion equation. Nature Publishing Group UK 2017-06-19 /pmc/articles/PMC5476600/ /pubmed/28630496 http://dx.doi.org/10.1038/s41598-017-02979-4 Text en © The Author(s) 2017 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Liemert, André
Reitzle, Dominik
Kienle, Alwin
Analytical solutions of the radiative transport equation for turbid and fluorescent layered media
title Analytical solutions of the radiative transport equation for turbid and fluorescent layered media
title_full Analytical solutions of the radiative transport equation for turbid and fluorescent layered media
title_fullStr Analytical solutions of the radiative transport equation for turbid and fluorescent layered media
title_full_unstemmed Analytical solutions of the radiative transport equation for turbid and fluorescent layered media
title_short Analytical solutions of the radiative transport equation for turbid and fluorescent layered media
title_sort analytical solutions of the radiative transport equation for turbid and fluorescent layered media
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5476600/
https://www.ncbi.nlm.nih.gov/pubmed/28630496
http://dx.doi.org/10.1038/s41598-017-02979-4
work_keys_str_mv AT liemertandre analyticalsolutionsoftheradiativetransportequationforturbidandfluorescentlayeredmedia
AT reitzledominik analyticalsolutionsoftheradiativetransportequationforturbidandfluorescentlayeredmedia
AT kienlealwin analyticalsolutionsoftheradiativetransportequationforturbidandfluorescentlayeredmedia

Ejemplares similares