OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 26, Iss. 14 — Jul. 15, 2001
  • pp: 1066–1068

Photon-transport forward model for imaging in turbid media

M. Xu, W. Cai, M. Lax, and R. R. Alfano  »View Author Affiliations

Optics Letters, Vol. 26, Issue 14, pp. 1066-1068 (2001)

View Full Text Article

Acrobat PDF (91 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A photon-transport forward model for image reconstruction in turbid media is derived that treats weak inhomogeneities through a Born approximation of the Boltzmann radiative transfer equation. This model can conveniently replace the commonly used diffusion approximation in optical tomography. An analytical expression of the background Green's function is obtained from the cumulant solution of the Boltzmann equation. Our model provides the correct behavior of photon migration at early times and reduces at long times to the center-moved diffusion approximation. Numerical comparisons between this model and the standard and center-moved diffusion models are presented.

© 2001 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(170.6960) Medical optics and biotechnology : Tomography
(290.7050) Scattering : Turbid media

M. Xu, W. Cai, M. Lax, and R. R. Alfano, "Photon-transport forward model for imaging in turbid media," Opt. Lett. 26, 1066-1068 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. R. R. Alfano, S. G. Demos, and S. K. Gayen, Ann. N.Y. Acad. Sci. 820, 248 (1997).
  2. A. G. Yodh, B. Tromberg, E. Sevick-Muraca, and D. Pine, eds., feature on Diffusing Photons in Turbid Media J. Opt. Soc. Am. A 14, 136–342 (1997).
  3. S. R. Arridge and J. C. Hebden, Phys. Med. Biol. 42, 841 (1997).
  4. K. Furutsu and Y. Yamada, Phys. Rev. E 50, 3634 (1994).
  5. M. S. Patterson, B. Chance, and B. C. Wilson, Appl. Opt. 28, 2331 (1989).
  6. Y. Tsuchiya, K. Ohta, and T. Urakami, Jpn. J. Appl. Phys. Part 1 34, 2495 (1995).
  7. W. Cai, M. Lax, and R. R. Alfano, Phys. Rev. E 61, 3871 (2000).
  8. W. Cai, M. Lax, and R. R. Alfano, J. Phys. Chem. B 104, 3996 (2000).
  9. S. R. Arridge, Appl. Opt. 34, 7395 (1995).
  10. L. G. Henyey and J. L. Greenstein, Astrophys. J. 93, 70 (1941).
  11. K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited