Abstract

To model bidirectional measurements, a numerical method for computing the incoherent light scattered by a diffusing medium is presented. The results are expressed as a function of the incident and the observer angles (θi, ϕi) and (θf, ϕf), in contrast to the N-flux method, which gives no information about the azimuthal distribution. To solve the multiple-scattering equations, an auxiliary function, expanded on the spherical harmonics, is introduced in the diffusion equation. A set of integral equations on the coefficients are obtained that are well suited for the numerical resolution. The boundary conditions are included in the linear operator of the integral equation, so that each boundary condition is associated with a specific equation. As an illustration, the method is applied to numerical simulations of maps of the light scattered by a thick refractive diffusing layer of refractive index n=1.5, for two directive phase functions and for several incident collimated-beam angles.

© 2002 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
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)

Radiative transfer in inhomogeneous stratified scattering media with use of the auxiliary function method

Mady Elias and Georges Elias
J. Opt. Soc. Am. A 21(4) 580-589 (2004)

Finite-element algorithm for radiative transfer in vertically inhomogeneous media: numerical scheme and applications

Viatcheslav B. Kisselev, Laura Roberti, and Giovanni Perona
Appl. Opt. 34(36) 8460-8471 (1995)

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 (6)

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 (65)

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