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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 9, Iss. 4 — Apr. 1, 2014

Comparative analysis of discrete and continuous absorption weighting estimators used in Monte Carlo simulations of radiative transport in turbid media

Carole K. Hayakawa, Jerome Spanier, and Vasan Venugopalan  »View Author Affiliations


JOSA A, Vol. 31, Issue 2, pp. 301-311 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000301


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Abstract

We examine the relative error of Monte Carlo simulations of radiative transport that employ two commonly used estimators that account for absorption differently, either discretely, at interaction points, or continuously, between interaction points. We provide a rigorous derivation of these discrete and continuous absorption weighting estimators within a stochastic model that we show to be equivalent to an analytic model, based on the radiative transport equation (RTE). We establish that both absorption weighting estimators are unbiased and, therefore, converge to the solution of the RTE. An analysis of spatially resolved reflectance predictions provided by these two estimators reveals no advantage to either in cases of highly scattering and highly anisotropic media. However, for moderate to highly absorbing media or isotropically scattering media, the discrete estimator provides smaller errors at proximal source locations while the continuous estimator provides smaller errors at distal locations. The origin of these differing variance characteristics can be understood through examination of the distribution of exiting photon weights.

© 2014 Optical Society of America

OCIS Codes
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.5280) Medical optics and biotechnology : Photon migration
(290.7050) Scattering : Turbid media
(300.1030) Spectroscopy : Absorption

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: October 8, 2013
Revised Manuscript: November 26, 2013
Manuscript Accepted: December 13, 2013
Published: January 20, 2014

Virtual Issues
Vol. 9, Iss. 4 Virtual Journal for Biomedical Optics

Citation
Carole K. Hayakawa, Jerome Spanier, and Vasan Venugopalan, "Comparative analysis of discrete and continuous absorption weighting estimators used in Monte Carlo simulations of radiative transport in turbid media," J. Opt. Soc. Am. A 31, 301-311 (2014)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-31-2-301

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