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. 15, Iss. 4 — Apr. 1, 1998
  • pp: 834–848

Nonlinear effects of localized absorption perturbations on the light distribution in a turbid medium

Harry L. Graber, Raphael Aronson, and Randall L. Barbour  »View Author Affiliations


JOSA A, Vol. 15, Issue 4, pp. 834-848 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000834


View Full Text Article

Enhanced HTML    Acrobat PDF (4822 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A theoretical model of photon propagation in a scattering medium is presented, from which algebraic formulas for the detector-reading perturbations (ΔR) produced by one or two localized perturbations in the macroscopic absorption cross section (Δμa) are derived. Examination of these shows that when Δμa is titrated from very small to large magnitudes in one voxel, the curve traced by the corresponding ΔR values is a rectangular hyperbola. Furthermore, while ΔRlimΔμa ΔR is dependent on the location of the detector with respect to the source and the voxel, the ratio ΔR/ΔR is independent of the detector location. We also find that when Δμa is varied in two voxels simultaneously, the quantity ΔR(Δμa,1Δμa,2) is a bilinear rational function of the Δμas. These results apply not only in the case of steady-state illumination and detection but to time-harmonic measurements as well. The validity of the theoretical formulas is demonstrated by applying them to the results of selected numerical diffusion computations. Potential applications of the derived expressions to image-reconstruction problems are discussed.

© 1998 Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(190.0190) Nonlinear optics : Nonlinear optics
(290.7050) Scattering : Turbid media

History
Original Manuscript: June 13, 1997
Revised Manuscript: October 17, 1997
Manuscript Accepted: October 27, 1997
Published: April 1, 1998

Citation
Harry L. Graber, Raphael Aronson, and Randall L. Barbour, "Nonlinear effects of localized absorption perturbations on the light distribution in a turbid medium," J. Opt. Soc. Am. A 15, 834-848 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-4-834

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