Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Solving the radiative transfer equation with a mathematical particle method

Not Accessible

Your library or personal account may give you access

Abstract

We solve the radiative transfer equation (RTE) using a recently proposed mathematical particle method, originally developed for solving general functional equations. We show that, in the case of the RTE, it gives several advantages, such as handling arbitrary boundary conditions and phase functions and avoiding numerical instability in strongly forward-scattering media. We also solve the RTE, including fluorescence, and an example is shown with a fluorescence cascade where light is absorbed and emitted in several steps. We show that the evaluated particle method is straightforward to implement, which is in contrast with many traditional RTE solvers, but a potential drawback is the tuning of the method parameters.

© 2015 Optical Society of America

Full Article  |  PDF Article
More Like This
Algorithm for solving the equation of radiative transfer in the frequency domain

Kui Ren, Gassan S. Abdoulaev, Guillaume Bal, and Andreas H. Hielscher
Opt. Lett. 29(6) 578-580 (2004)

Comparison of the auxiliary function method and the discrete-ordinate method for solving the radiative transfer equation for light scattering

Anabela da Silva, Mady Elias, Christine Andraud, and Jacques Lafait
J. Opt. Soc. Am. A 20(12) 2321-2329 (2003)

Color modeling of stratified pictorial layers using the radiative transfer equation solved by the auxiliary function method

G. Latour, M. Elias, and J. M. Frigerio
J. Opt. Soc. Am. A 24(10) 3045-3053 (2007)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (2)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (9)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved