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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 5 — May. 1, 2009
  • pp: 1129–1138

Using polarization to find a source in a turbid medium

Julia Clark, Pedro González-Rodríguez, and Arnold D. Kim  »View Author Affiliations


JOSA A, Vol. 26, Issue 5, pp. 1129-1138 (2009)
http://dx.doi.org/10.1364/JOSAA.26.001129


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Abstract

We study multiple scattering of partially polarized light using the theory of radiative transport. In particular, we study the light that exits a half-space composed of a uniform absorbing and scattering medium due to an unpolarized, isotropic, and continuous planar source. We assume that Rayleigh scattering applies. Using only angular integrals of the two orthogonal polarization components of the intensity exiting the half-space, we recover the depth and the strength of this source in two stages. First, we recover the depth of the source through the solution of a one-dimensional nonlinear equation. Then we recover the strength of the source through the solution of a linear least-squares problem. This method is limited to sources located at depths on the order of a transport mean-free path or less. Beyond that depth, these data do not contain sufficient polarization diversity for this inversion method to work. In addition, we show that this method is sensitive to instrument noise. We present numerical results to validate these results.

© 2009 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(290.4210) Scattering : Multiple scattering
(290.5855) Scattering : Scattering, polarization

ToC Category:
Scattering

History
Original Manuscript: November 6, 2008
Revised Manuscript: February 26, 2009
Manuscript Accepted: February 28, 2009
Published: April 8, 2009

Virtual Issues
Vol. 4, Iss. 7 Virtual Journal for Biomedical Optics

Citation
Julia Clark, Pedro González-Rodríguez, and Arnold D. Kim, "Using polarization to find a source in a turbid medium," J. Opt. Soc. Am. A 26, 1129-1138 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-5-1129

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