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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 1 — Jan. 1, 2001
  • pp: 224–231

Vertex/propagator model for least-scattered photons traversing a turbid medium

Ruikang K. Wang and Michael Wilson  »View Author Affiliations

JOSA A, Vol. 18, Issue 1, pp. 224-231 (2001)

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The least-scattered photons that arrive at a detector through highly scattering tissues have the potential to image internal structures, functions, and status with high imaging resolution. In contrast, optical diffusing tomography is based on the use of the late-arriving photons, which have been diffusely scattered, leading to very low imaging resolution. A good model of the early-arriving photons, i.e., the least-scattered photons, may have a significant effect on the development of imaging algorithms and a further understanding of imaging mechanisms within current high-resolution optical-imaging techniques. We describe a vertex/propagator approach that attempts to find the probabilities for least-scattered photons traversing a scattering medium, based on analytical expressions for photon histories. The basic mathematical derivations for the model are outlined, and the results are discussed and found to be in very good agreement with those from the Monte Carlo simulations.

© 2001 Optical Society of America

OCIS Codes
(170.1650) Medical optics and biotechnology : Coherence imaging
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.7050) Medical optics and biotechnology : Turbid media
(290.4210) Scattering : Multiple scattering

Original Manuscript: September 16, 1999
Revised Manuscript: May 17, 2000
Manuscript Accepted: May 17, 2000
Published: January 1, 2001

Ruikang K. Wang and Michael Wilson, "Vertex/propagator model for least-scattered photons traversing a turbid medium," J. Opt. Soc. Am. A 18, 224-231 (2001)

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  1. D. Huang, E. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, W. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, J. G. Fujimoto, “Optical coherence tomography,” Science 254, 1178–1181 (1991). [CrossRef] [PubMed]
  2. M. R. Hee, J. A. Izatt, J. M. Jacobson, J. G. Fujimoto, E. A. Swanson, “Femto-second trans-illumination optical coherence tomography,” Opt. Lett. 18, 950–952 (1993). [CrossRef] [PubMed]
  3. L. Wang, P. P. Ho, C. Liu, G. Zhang, R. R. Alfano, “Ballistic 2-D imaging through scattering wall using an ultrafast Kerr gate,” Science 253, 769–771 (1991). [CrossRef] [PubMed]
  4. S. G. Demos, R. R. Alfano, “Temporal gating in highly scattering media by the degree of optical polarisation,” Opt. Lett. 21, 161–163 (1993). [CrossRef]
  5. D. S. Dilworth, E. N. Leith, J. L. Lopez, “Three dimensional confocal imaging of objects embedded within thick diffusing media,” Appl. Opt. 30, 1796–1803 (1991). [CrossRef] [PubMed]
  6. S. L. Jacques, “Path integral description of light transport in tissue,” Ann. N.Y. Acad. Sci. 838, 1–13 (1998). [CrossRef] [PubMed]
  7. L. G. Henyey, J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70–83 (1941). [CrossRef]
  8. W. C. Cheong, S. A. Prahl, A. J. Welch, “A review of the optical properties of biological tissues,” IEEE J. Quantum Electron. 26, 2166–2185 (1990). [CrossRef]
  9. S. L. Jacques, C. A. Alter, S. A. Prahl, “Angular dependence of HeNe laser light scattering by human dermis,” Lasers Life Sci. 1, 309–333 (1987).

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