Infinite space Green’s function of the time-dependent radiative transfer equation

This study contains the derivation of an infinite space Green’s function of the time-dependent radiative transfer equation in an anisotropically scattering medium based on analytical approaches. The final solutions are analytical regarding the time variable and given by a superposition of real and c...

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Detalles Bibliográficos
Autores principales: Liemert, André, Kienle, Alwin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Optical Society of America 2012
Materias:
Optics of Tissue and Turbid Media
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3296541/
https://www.ncbi.nlm.nih.gov/pubmed/22435101
http://dx.doi.org/10.1364/BOE.3.000543
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author Liemert, André
Kienle, Alwin
author_facet Liemert, André
Kienle, Alwin
author_sort Liemert, André
collection PubMed
description This study contains the derivation of an infinite space Green’s function of the time-dependent radiative transfer equation in an anisotropically scattering medium based on analytical approaches. The final solutions are analytical regarding the time variable and given by a superposition of real and complex exponential functions. The obtained expressions were successfully validated with Monte Carlo simulations.
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spelling pubmed-32965412012-03-20 Infinite space Green’s function of the time-dependent radiative transfer equation Liemert, André Kienle, Alwin Biomed Opt Express Optics of Tissue and Turbid Media This study contains the derivation of an infinite space Green’s function of the time-dependent radiative transfer equation in an anisotropically scattering medium based on analytical approaches. The final solutions are analytical regarding the time variable and given by a superposition of real and complex exponential functions. The obtained expressions were successfully validated with Monte Carlo simulations. Optical Society of America 2012-02-16 /pmc/articles/PMC3296541/ /pubmed/22435101 http://dx.doi.org/10.1364/BOE.3.000543 Text en © 2012 Optical Society of America http://creativecommons.org/licenses/by-nc-nd/3.0 This is an open-access article distributed under the terms of the Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 Unported License, which permits download and redistribution, provided that the original work is properly cited. This license restricts the article from being modified or used commercially.
spellingShingle Optics of Tissue and Turbid Media
Liemert, André
Kienle, Alwin
Infinite space Green’s function of the time-dependent radiative transfer equation
title Infinite space Green’s function of the time-dependent radiative transfer equation
title_full Infinite space Green’s function of the time-dependent radiative transfer equation
title_fullStr Infinite space Green’s function of the time-dependent radiative transfer equation
title_full_unstemmed Infinite space Green’s function of the time-dependent radiative transfer equation
title_short Infinite space Green’s function of the time-dependent radiative transfer equation
title_sort infinite space green’s function of the time-dependent radiative transfer equation
topic Optics of Tissue and Turbid Media
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3296541/
https://www.ncbi.nlm.nih.gov/pubmed/22435101
http://dx.doi.org/10.1364/BOE.3.000543
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