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

Abstract 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 c...

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Autores principales:	André Liemert, Dominik Reitzle, Alwin Kienle
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/b69e2173029f4ed3afaf00652c0b1e03
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spelling	oai:doaj.org-article:b69e2173029f4ed3afaf00652c0b1e032021-12-02T11:52:22ZAnalytical solutions of the radiative transport equation for turbid and fluorescent layered media10.1038/s41598-017-02979-42045-2322https://doaj.org/article/b69e2173029f4ed3afaf00652c0b1e032017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02979-4https://doaj.org/toc/2045-2322Abstract 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.André LiemertDominik ReitzleAlwin KienleNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-9 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q André Liemert Dominik Reitzle Alwin Kienle Analytical solutions of the radiative transport equation for turbid and fluorescent layered media
description	Abstract 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	article
author	André Liemert Dominik Reitzle Alwin Kienle
author_facet	André Liemert Dominik Reitzle Alwin Kienle
author_sort	André Liemert
title	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_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_sort	analytical solutions of the radiative transport equation for turbid and fluorescent layered media
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/b69e2173029f4ed3afaf00652c0b1e03
work_keys_str_mv	AT andreliemert analyticalsolutionsoftheradiativetransportequationforturbidandfluorescentlayeredmedia AT dominikreitzle analyticalsolutionsoftheradiativetransportequationforturbidandfluorescentlayeredmedia AT alwinkienle analyticalsolutionsoftheradiativetransportequationforturbidandfluorescentlayeredmedia
_version_	1718395064813617152

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

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