Abstract

We study the diffusion approximation (DA) to the radiative transport equation (RTE) in infinite homogeneous space. Different definitions of the reduced intensity Ir that satisy a simplified RTE (without accounting for scattering) and that are often used in the derivation of the DA are examined. By comparing the results of the DA with exact solutions to the RTE, we come to the conclusion that the best accuracy in the DA is achieved if we choose the definition of the reduced intensity (from a family of possible definitions) that results in Ir=0. Thus, the separation of the specific intensity into reduced and diffuse components is unnecessary. We also discuss the conditions under which the DA is applicable.

© 2009 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Collimated light sources in the diffusion approximation

Thorsten Spott and Lars O. Svaasand
Appl. Opt. 39(34) 6453-6465 (2000)

Virtual-source diffusion approximation for enhanced near-field modeling of photon-migration in low-albedo medium

Mengyu Jia, Xueying Chen, Huijuan Zhao, Shanshan Cui, Ming Liu, Lingling Liu, and Feng Gao
Opt. Express 23(2) 1337-1352 (2015)

Photon-density modes beyond the diffusion approximation: scalar wave-diffusion equation

A. Ya. Polishchuk, S. Gutman, M. Lax, and R. R. Alfano
J. Opt. Soc. Am. A 14(1) 230-234 (1997)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

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

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 OSA member, or as an authorized user of your institution.

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

Figures (3)

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

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

Equations (86)

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

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

Metrics

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

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