Abstract

Forward-peaked and large-angle scattering approximations of the radiative transport equation give rise to generalized Fokker–Planck equations whose main feature is the replacement of the integral scattering operator with differential operators in the direction-space variables. Using the PN method, an appraisal of generalized Fokker–Planck equations due to González-Rodríguez and Kim [Appl. Opt. 47, 2599–2609 (2008)], Leakeas and Larsen [Nucl. Sci. Eng. 137, 236–250 (2001), and J. Opt. Soc. Am. A 20, 92–98 (2003)], and Pomraning [Math. Models Meth. Appl. Sci. 2, 21–36 (1992)] is carried out by computing the relative error between the backscattered and transmitted surface flux predicted by the generalized Fokker–Planck equations and the transport equation with Henyey–Greenstein phase function for anisotropies ranging from 0 to 1. Generalized Fokker–Planck equations whose scattering operators incorporate large-angle scattering and possess eigenvalues similar to the integral scattering operator with Henyey–Greenstein phase function are found to minimize the relative error in the limit of unit anisotropy.

© 2009 Optical Society of America

Full Article  |  PDF Article
Related Articles
Multicomponent approach to light propagation in clouds and mists

Eleanor P. Zege, losif L. Katsev, and Igor N. Polonsky
Appl. Opt. 32(15) 2803-2812 (1993)

Light propagation in biological tissue

Arnold D. Kim and Joseph B. Keller
J. Opt. Soc. Am. A 20(1) 92-98 (2003)

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)

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 (11)

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 (60)

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