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Analysis of single Monte Carlo methods for prediction of reflectance from turbid media

Authors
Journal
Optics Express
1094-4087
Publisher
The Optical Society
Publication Date
Volume
19
Issue
20
Identifiers
DOI: 10.1364/oe.19.019627
Keywords
  • Research-Article
Disciplines
  • Literature
  • Physics

Abstract

Starting from the radiative transport equation we derive the scaling relationships that enable a single Monte Carlo (MC) simulation to predict the spatially- and temporally-resolved reflectance from homogeneous semi-infinite media with arbitrary scattering and absorption coefficients. This derivation shows that a rigorous application of this single Monte Carlo (sMC) approach requires the rescaling to be done individually for each photon biography. We examine the accuracy of the sMC method when processing simulations on an individual photon basis and also demonstrate the use of adaptive binning and interpolation using non-uniform rational B-splines (NURBS) to achieve order of magnitude reductions in the relative error as compared to the use of uniform binning and linear interpolation. This improved implementation for sMC simulation serves as a fast and accurate solver to address both forward and inverse problems and is available for use at http://www.virtualphotonics.org/.

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