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

Spatially resolved backscattering: implementation of extrapolation boundary condition and exponential source

Not Accessible

Your library or personal account may give you access

Abstract

The images method is widely used to solve the diffusion equation for the propagation of light within a semi-infinite medium (z>0) in which both scattering and absorption occur. The results are widely used both to analyze data and to illustrate the failings of the diffusion approximation. We emphasize that the images method does not properly obey the extrapolation boundary conditions of diffusion theory, namely, (1-ze d/dz)φ(z)|z=0=0; instead, it approximates these by φ(-ze)=0. The images method also does not describe the source of diffusing photons produced by the exponential attenuation of a collimated incident beam. By correcting these defects and comparing with a simulation, we show that most of the error in the images solution is due to the source and boundary treatment rather than to the diffusion approximation. Our prediction for backscattered intensity versus distance from the source point should be useful for improved analysis of experimental data, especially in cases of nonzero wall reflectivity.

© 1999 Optical Society of America

Full Article  |  PDF Article
More Like This
Angular distribution of diffusely backscattered light

M. U. Vera, P.-A. Lemieux, and D. J. Durian
J. Opt. Soc. Am. A 14(10) 2800-2808 (1997)

Photon migration at short times and distances and in cases of strong absorption

D. J. Durian and J. Rudnick
J. Opt. Soc. Am. A 14(1) 235-245 (1997)

Experimental determination of the boundary condition for diffuse photons in a homogeneous turbid medium

David L. Everitt, Tuo Zhu, H.-M. Zhu, and X. D. Zhu
J. Opt. Soc. Am. A 17(7) 1284-1287 (2000)

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 (6)

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

Equations (26)

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