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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 24 — Nov. 28, 2005
  • pp: 9822–9833

Multicanonical Monte-Carlo simulations of light propagation in biological media

A. Bilenca, A. Desjardins, B. E. Bouma, and G. J. Tearney  »View Author Affiliations


Optics Express, Vol. 13, Issue 24, pp. 9822-9833 (2005)
http://dx.doi.org/10.1364/OPEX.13.009822


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Abstract

Monte-Carlo simulation is an important tool in the field of biomedical optics, but suffers from significant computational expense. In this paper, we present the multicanonical Monte-Carlo (MMC) method for improving the efficiency of classical Monte Carlo simulations of light propagation in biological media. The MMC is an adaptive importance sampling technique that iteratively equilibrates at the optimal importance distribution with little (if any) a priori knowledge of how to choose and bias the importance proposal distribution. We illustrate the efficiency of this method by evaluating the probability density function (pdf) for the radial distance of photons exiting from a semi-infinite homogeneous tissue as well as the pdf for the maximum penetration depth of photons propagating in an inhomogeneous tissue. The results agree very well with diffusion theory as well as classical Monte-Carlo simulations. A six to sevenfold improvement in computational time is achieved by the MMC algorithm in calculating pdf values as low as 10-8. This result suggests that the MMC method can be useful in efficiently studying numerous applications of light propagation in complex biological media where the remitted photon yield is low.

© 2005 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(290.1350) Scattering : Backscattering

ToC Category:
Research Papers

History
Original Manuscript: October 4, 2005
Revised Manuscript: October 3, 2005
Published: November 28, 2005

Citation
A. Bilenca, A. Desjardins, B. Bouma, and G. Tearney, "Multicanonical Monte-Carlo simulations of light propagation in biological media," Opt. Express 13, 9822-9833 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-24-9822


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References

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