Equivalence of four Monte Carlo methods for photon migration in turbid media.

In the field of photon migration in turbid media, different Monte Carlo methods are usually employed to solve the radiative transfer equation. We consider four different Monte Carlo methods, widely used in the field of tissue optics, that are based on four different ways to build photons' trajectories. We provide both theoretical arguments and numerical results showing the statistical equivalence of the four methods. In the numerical results we compare the temporal point spread functions calculated by the four methods for a wide range of the optical properties in the slab and semi-infinite medium geometry. The convergence of the methods is also briefly discussed.

[1]  D. Boas,et al.  Three dimensional Monte Carlo code for photon migration through complex heterogeneous media including the adult human head. , 2002, Optics express.

[2]  Alwin Kienle,et al.  Light transport in three-dimensional semi-infinite scattering media. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  R Marchesini,et al.  Monte Carlo simulation of light fluence in tissue in a cylindrical diffusing fibre geometry. , 1999, Physics in medicine and biology.

[4]  A. Floren,et al.  ' " ' " ' " . " ' " " " " " ' " ' " " " " " : ' " 1 , 2001 .

[5]  J. C. J. Paasschens,et al.  Solution of the time-dependent Boltzmann equation , 1997 .

[6]  Alwin Kienle,et al.  Analytical Green's function of the radiative transfer radiance for the infinite medium. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  R Macdonald,et al.  Monte Carlo algorithm for efficient simulation of time-resolved fluorescence in layered turbid media. , 2008, Optics express.

[8]  Piero Bruscaglioni,et al.  Analytic relationships for the statistical moments of scattering point coordinates for photon migration in a scattering medium , 1994 .

[9]  F F de Mul,et al.  Monte Carlo simulations of laser Doppler blood flow measurements in tissue. , 1990, Applied optics.

[10]  B. Wilson,et al.  Monte Carlo modeling of light propagation in highly scattering tissues. I. Model predictions and comparison with diffusion theory , 1989, IEEE Transactions on Biomedical Engineering.

[11]  J. L. Reuss,et al.  The pulse in reflectance pulse oximetry: Modeling and experimental studies , 2004, Journal of Clinical Monitoring and Computing.

[12]  J M Schmitt,et al.  Efficient Monte Carlo simulation of confocal microscopy in biological tissue. , 1996, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  G Zaccanti,et al.  Monte Carlo study of light propagation in optically thick media: point source case. , 1991, Applied optics.

[14]  Stefan Andersson-Engels,et al.  White Monte Carlo for time-resolved photon migration. , 2008, Journal of biomedical optics.

[15]  B. Wilson,et al.  A Monte Carlo model for the absorption and flux distributions of light in tissue. , 1983, Medical physics.

[16]  A Ismaelli,et al.  Monte carlo procedure for investigating light propagation and imaging of highly scattering media. , 1998, Applied optics.

[17]  Fabrizio Martelli,et al.  Light Propagation Through Biological Tissue and Other Diffusive Media: Theory, Solutions, and Software , 2009 .

[18]  Alwin Kienle,et al.  Publisher's Note: Analytical solution of the radiative transfer equation for infinite-space fluence [Phys. Rev. A 83, 015804 (2011)] , 2011 .

[19]  L Wang,et al.  MCML--Monte Carlo modeling of light transport in multi-layered tissues. , 1995, Computer methods and programs in biomedicine.

[20]  Irving Itzkan,et al.  Photon diffusion near the point-of-entry in anisotropically scattering turbid media. , 2011, Nature communications.

[21]  Katherine W. Calabro,et al.  On the Validity of Assumptions to Incorporate Absorption in Monte Carlo Simulations , 2012 .

[22]  L V Wang,et al.  Monte Carlo simulation of an optical coherence tomography signal in homogeneous turbid media. , 1999, Physics in medicine and biology.

[23]  M. H. Koelink,et al.  Condensed Monte Carlo simulations for the description of light transport. , 1993, Applied optics.

[24]  Erik Alerstam,et al.  Optical spectroscopy of turbid media: time-domain measurements and accelerated Monte Carlo modelling , 2011 .