OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 12 — Jun. 13, 2005
  • pp: 4420–4438

Three Monte Carlo programs of polarized light transport into scattering media: part I

Jessica C. Ramella-Roman, Scott A. Prahl, and Steve L. Jacques  »View Author Affiliations


Optics Express, Vol. 13, Issue 12, pp. 4420-4438 (2005)
http://dx.doi.org/10.1364/OPEX.13.004420


View Full Text Article

Enhanced HTML    Acrobat PDF (394 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Propagation of light into scattering media is a complex problem that can be modeled using statistical methods such as Monte Carlo. Few Monte Carlo programs have so far included the information regarding the status of polarization of light before and after a scattering event. Different approaches have been followed and limited numerical values have been made available to the general public. In this paper, three different ways to build a Monte Carlo program for light propagation with polarization are given. Different groups have used the first two methods; the third method is original. Comparison in between Monte Carlo runs and Adding Doubling program yielded less than 1 % error.

© 2005 Optical Society of America

OCIS Codes
(290.4020) Scattering : Mie theory
(290.4210) Scattering : Multiple scattering

ToC Category:
Research Papers

History
Original Manuscript: April 25, 2005
Revised Manuscript: May 27, 2005
Published: June 13, 2005

Citation
Jessica Ramella-Roman, Scott Prahl, and Steve Jacques, "Three Monte Carlo programs of polarized light transport into scattering media: part I," Opt. Express 13, 4420-4438 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-12-4420


Sort:  Journal  |  Reset  

References

  1. S. Chandrasekhar, Radiative Transfer, (Oxford Clarendon Press; 1950).
  2. S. Chandrasekhar and D. Elbert, �??The Illumination and polarization of the sunlight sky on Rayleigh scattering,�?? Trans. Am. Phil. Soc. 44, (1956).
  3. K. F. Evans and G. L. Stephens, �??A new polarized atmospheric radiative transfer model,�?? J. Quant. Spectrosc. Radiat Transfer. 46, 413-423, (1991). [CrossRef]
  4. S. A. Prahl, M. J. C. van Gemert, A. J. Welch, �??Determining the optical properties of turbid media by using the adding-doubling method,�?? Appl. Opt. 32, 559-568, (1993). [CrossRef] [PubMed]
  5. G. W. Kattawar and G. N. Plass �??Radiance and polarization of multiple scattered light from haze and clouds,�?? Appl. Opt. 7, 1519-1527, (1967). [CrossRef]
  6. G. W. Kattawar and G. N. Plass, �??Degree and direction of polarization of multiple scattered light. 1: Homogeneous cloud layers,�?? Appl. Opt. 11, 2851-2865, (1972). [CrossRef] [PubMed]
  7. G. W. Kattawar and C. N. Adams �??Stokes vector calculations of the submarine light field in an atmosphere-ocean with scattering according to a Rayleigh phase matrix: effect of interface refractive index on radiance and polarization,�?? Limnol. Oceanogr. 34, 1453-1472, (1989). [CrossRef]
  8. P. Bruscaglione, G. Zaccanti, W. Qingnong �??Transmission of a pulsed polarized light beam through thick turbid media: numerical results,�?? Appl. Opt. 32, 6142-6150, (1993). [CrossRef]
  9. S. Bianchi, A. Ferrara, C. Giovannardi, �??Monte Carlo simulations of dusty spiral galaxies: extinction and polarization properties,�?? American Astronomical Society 465, 137-144, (1996).
  10. S. Bianchi Estinzione e polarizzazione della radiazione nelle galassie a spirale, Tesi di Laura (in Italian), 1994.
  11. A. Ambirajan and D.C. Look, �??A backward Monte Carlo study of the multiple scattering of a polarized laser beam,�?? J. Quant. Spectrosc. Radiat. Transfer 58, 171-192, (1997). [CrossRef]
  12. A. S. Martinez and R. Maynard �??Polarization Statistics in Multiple Scattering of light: a Monte Carlo approach,�?? in Localization and Propagation of classical waves in random and periodic structures (Plenum Publishing Corporation New York, 1993).
  13. A. S. Martinez Statistique de polarization et effet Faraday en diffusion multiple de la lumiere Ph.D. Thesis (in French and English), 1984.
  14. S. Bartel and A. Hielsher, �??Monte Carlo simulations of the diffuse backscattering Mueller matrix for highly scattering media,�?? Appl. Opt. 39, 1580-1588, (2000). [CrossRef]
  15. B. D. Cameron, M. J. Rakovic, M. Mehrubeoglu, G. Kattawar, S. Rastegar, L.-H. Wang, G. L. Cote, �??Measurement and calculation of the two-dimensional backscattering Mueller matrix of a turbid medium,�?? Opt. Lett. 23, 485-487, (1998). [CrossRef]
  16. Daniel Côté, I. Alex Vitkin �??Robust concentration determination of optically active molecules in turbid media with validated three-dimensional polarization sensitive Monte Carlo calculations,�?? Opt. Express 13, 148-163, (2005). [CrossRef] [PubMed]
  17. X. Wang and L. V. Wang, �??Propagation of polarized light in birefringent turbid media: A Monte Carlo study,�?? J. Biomed. Opt. 7, 279�??290, (2002). [CrossRef] [PubMed]
  18. M. J. Rakovic, G. W. Kattawar, M. Mehrubeoglu, B. D. Cameron, L.-H. Wang, S. Rastegar, G. L. Cote, �??Light backscattering polarization patterns from turbid media: theory and experiment,�?? Appl. Opt. 38, 3399-3408, (1999). [CrossRef]
  19. H. H. Tynes, G. W. Kattawar, E. P. Zege, I. L. Katsev, A. S. Prikhach, and L. I. Chaikovskaya, �??Monte Carlo and Multicomponent Approximation Methods for Vector Radiative Transfer by use of Effective Mueller Matrix Calculations,�?? Appl. Opt. 40, 400�??412, (2001). [CrossRef]
  20. B. Kaplan, G. Ledanois, and B. Villon, �??Mueller Matrix of Dense Polystyrene Latex Sphere Suspensions: Measurements and Monte Carlo Simulation,�?? Appl. Opt. 40, 2769�??2777, (2001). [CrossRef]
  21. I. Lux and L.Koblinger, Monte Carlo Particle Transport Methods: Neutron and Photon Calculations (CRC Prss, Boca Raton, Fla., 1991).
  22. M. Xu, �??Electric field Monte Carlo simulation of polarized light propagation in turbid media�??, Opt. Express 26, 6530-6539, (2004). [CrossRef]
  23. <a href= "http://omlc.ogi.edu/software/polarization/">http://omlc.ogi.edu/software/polarization/</a>
  24. N. Metropolis and S. Ulam, �??The Monte Carlo method,�?? J. Am. Stat. Assoc. 44, 335-341, (1949). [PubMed]
  25. S. A. Prahl, M. Keijzer, S. L. Jacques, A. J. Welch, �??A Monte Carlo model of light propagation in tissue,�?? in Dosimetry of Laser Radiation in Medicine and Biology, G. Mueller and D. Sliney, eds., SPIE IS 5, 102-111, (1989).
  26. L. H Wang, S. L. Jacques, L-Q Zheng, �??MCML �?? Monte Carlo modeling of photon transport in multilayered tissues,�?? Computer Methods and Programs in Biomedicine 47, 131-146, (1995). [CrossRef] [PubMed]
  27. A. N. Witt, �??Multiple scattering in reflection nebulae I: A Monte Carlo approach,�?? Astophys. J. Suppl. Ser. 35, 1-6, (1977). [CrossRef]
  28. J. J. Craig, Introduction to robotics. Mechanics and controls, (Addison-Weseley Publishing Company, 1986).
  29. D. Benoit, D. Clary �??Quaternion formulation of diffusion quantum Monte Carlo for the rotation of rigid molecules in clusters,�?? J. Chem. Phys. 113, 5193-5202, (2000). [CrossRef]
  30. M. Richartz. and Y. Hsu, �??Analysis of elliptical polarization,�?? J. Opt. Soc. Am. 39, 136-157, (1949). [CrossRef]
  31. J. B. Kuipers, Quaternions and rotation sequences. A primer with applications to orbits, aerospace, and virtual reality (Princeton University Press, 1998) [PubMed]
  32. C. Bohren and D. R. Huffman, Absorption and scattering of light by small particles, (Wiley Science Paperback Series, 1998). [CrossRef]
  33. <a href= "http://omlc.ogi.edu/software/mie/index.html">http://omlc.ogi.edu/software/mie/index.html</a>
  34. K. I. Hopcraft, P. C. Y. Chang, J. G. Walker, E. Jakeman, �??Properties of Polarized light-beam multiply scattered by Rayleigh medium,�?? in Light Scattering from Microstructure F. Moreno and F. Gonzales eds., Vol. 534, Lecture Notes in Physics, (Springer-Verlag, 2000), pp. 135-158. [CrossRef]
  35. W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in C, the art of Scientific Computing, (Cambridge University Press, 1992).
  36. J. W. Hovenier, �??Symmetry Relationships for Scattering of Polarized Light in a Slab of Randomly Oriented Particles,�?? Journal of the Atmospheric Sciences 26, 488-499, (1968). [CrossRef]
  37. K. Shoemake, �??Animating rotation with quaternion curves,�?? Computer Graphics 19, 245-254, (1985). [CrossRef]
  38. J.C. Ramella-Roman, S.A.Prahl, S.L. Jacques, are preparing a manuscript to be called �??Three Monte Carlo programs of polarized light transport into scattering media: part II�??.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited