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Applied Optics

Applied Optics


  • Vol. 37, Iss. 16 — Jun. 1, 1998
  • pp: 3558–3563

Statistical properties of the penetration of photons into a semi-infinite turbid medium: a random-walk analysis

George H. Weiss  »View Author Affiliations

Applied Optics, Vol. 37, Issue 16, pp. 3558-3563 (1998)

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Statistical properties of the expected amount of time spent by a photon at different depths of a semi-infinite turbid medium are derived with formalism based on the continuous-time random walk. The formalism is applied to the study of both cw and time-gated experiments. Earlier analytical results relating to cw experiments are reproduced with a single approximation, rather than the more complicated approach used in earlier research based on the discrete-time random walk. The distribution of the occupancy of different depths in a time-gated experiment is found to have a convenient scaling form.

© 1998 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(170.5280) Medical optics and biotechnology : Photon migration

Original Manuscript: October 29, 1997
Revised Manuscript: January 20, 1998
Published: June 1, 1998

George H. Weiss, "Statistical properties of the penetration of photons into a semi-infinite turbid medium: a random-walk analysis," Appl. Opt. 37, 3558-3563 (1998)

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