OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 4 — Apr. 1, 1999
  • pp: 837–844

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

D. J. Durian and J. Rudnick  »View Author Affiliations


JOSA A, Vol. 16, Issue 4, pp. 837-844 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000837


View Full Text Article

Enhanced HTML    Acrobat PDF (286 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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

OCIS Codes
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(290.1990) Scattering : Diffusion
(290.7050) Scattering : Turbid media

History
Original Manuscript: July 9, 1998
Revised Manuscript: September 10, 1998
Manuscript Accepted: November 24, 1998
Published: April 1, 1999

Citation
D. J. Durian and J. Rudnick, "Spatially resolved backscattering: implementation of extrapolation boundary condition and exponential source," J. Opt. Soc. Am. A 16, 837-844 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-4-837

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited