One-way radiative transfer

González Rodríguez, Pedro; Ilan, Boaz; Kim, Arnold Dongkyoon

Publication:
One-way radiative transfer

dc.affiliation.dpto	UC3M. Departamento de Matemáticas	es
dc.affiliation.grupoinv	UC3M. Grupo de Investigación: Métodos Numéricos y Aplicaciones	es
dc.affiliation.instituto	UC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbany	es
dc.contributor.author	González Rodríguez, Pedro
dc.contributor.author	Ilan, Boaz
dc.contributor.author	Kim, Arnold Dongkyoon
dc.date.accessioned	2022-12-05T09:50:17Z
dc.date.available	2022-12-05T09:50:17Z
dc.date.issued	2016-06-01
dc.description.abstract	We introduce the one-way radiative transfer equation (RTE) for modeling the transmission of a light beam incident normally on a slab composed of a uniform forward-peaked scattering medium. Unlike the RTE, which is formulated as a boundary value problem, the one-way RTE is formulated as an initial value problem. Consequently, the one-way RTE is much easier to solve. We discuss the relation of the one-way RTE to the Fokker–Planck, small-angle, and Fermi pencil beam approximations. Then, we validate the one-way RTE through systematic comparisons with RTE simulations for both the Henyey–Greenstein and screened Rutherford scattering phase functions over a broad range of albedo, anisotropy factor, optical thickness, and refractive index values. We find that the one-way RTE gives very good approximations for a broad range of optical property values for thin to moderately thick media that have moderately to sharply forward-peaked scattering. Specifically, we show that the error made by the one-way RTE decreases monotonically as the anisotropic factor increases and as the albedo increases. On the other hand, the error increases monotonically as the optical thickness increases and the refractive index mismatch at the boundary increases.	en
dc.description.status	Publicado	es
dc.format.extent	6
dc.identifier.bibliographicCitation	Journal of Quantitative Spectroscopy and Radiative Transfer, (2016), v. 176, pp.: 122-128.	en
dc.identifier.doi	https://doi.org/10.1016/j.jqsrt.2016.02.032
dc.identifier.issn	0022-4073
dc.identifier.publicationfirstpage	122
dc.identifier.publicationlastpage	128
dc.identifier.publicationtitle	JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER	en
dc.identifier.publicationvolume	176
dc.identifier.uri	https://hdl.handle.net/10016/36158
dc.identifier.uxxi	AR/0000016831
dc.language.iso	eng	en
dc.publisher	Elsevier	es
dc.rights	© 2016 Elsevier Ltd. All rights reserved.	en
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España	*
dc.rights.accessRights	open access	en
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/	*
dc.subject.eciencia	Fisión	es
dc.subject.other	Wave propagation in random media	en
dc.subject.other	Light propagation in tissues	en
dc.subject.other	Atmospheric and ocean optics	en
dc.title	One-way radiative transfer	en
dc.type	research article	*
dc.type.hasVersion	AM	*
dspace.entity.type	Publication