Polarized light transport into a scattering media can be modeled using polarization sensitive Monte Carlo programs. This Chapter will illustrate one such programs based on quaternion algebra. In the program the polarization reference plane is tracked using two unit-vectors u and v, quaternions are used to accomplish the rotation of the polarization reference plane. Comparison with Adding Doubling models showed that our Monte Carlo algorithm yields results with less than 1% error.
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References
D. Côté and I. 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).
S. Bartel and A. H. Hielscher, “Monte Carlo simulations of the diffuse backscattering Mueller matrix for highly scattering media,” Appl. Opt. 39, 1580-1588, (2000).
J. Ramella-Roman, S. Prahl, and S. Jacques, “Three Monte Carlo programs of polarized light transport into scattering media: part I,” Opt. Express 13, 4420-4438, (2005).
A. N. Yaroslavsky, V. Neel and R. Rox Anderson “Demarcation of Nonmelanoma Skin Cancer Margins in Thick Excisions Using Multispectral Polarized Light Imaging,” Journal of Investigative Dermatology 121, 259-266, (2003).
J. C. Ramella-Roman, K. Lee, S. A. Prahl, and S. L. Jacques, “Design, testing and clinical studies of a hand-held polarized light camera,” Journal of Biomedical Optics, 9, 1305-1310, (2004).
V. Backman, M. B. Wallace, L. T. Perelman et al. “Detection of prei nvasive cancer cells,” Nature 406: 35-36, (2000).
C. E. Saxer, J. F. de Boer, B. H. Park, Y. Zhao, Z. Chen, and J. S. Nelson, “High-speed fiber based polarization-sensitive optical coherence tomography of in vivo human skin,” Opt. Lett. 25, 1355-1357, (2000).
G. W. Kattawar and G. N. Plass, “Radiance and polarization of multiple scattered light from haze and clouds,” Appl. Opt. 7, 1519-1527, (1967).
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).
P. Bruscaglione, G. Zaccanti, and W. Qingnong, “Transmission of a pulsed polarized light beam through thick turbid media: numerical results,” Appl. Opt. 32, 6142-6150, (1993).
S. Bianchi, A. Ferrara, and C. Giovannardi, “Monte Carlo simulations of dusty spiral galaxies: extinction and polarization properties,” American Astronomical Society 465, 137-144, (1996).
S. Bianchi, Estinzione e polarizzazione della radiazione nelle galassie a spirale, Tesi di Laura (in Italian), 1994.
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).
S. Martinez, Statistique de polarization et effet Faraday en diffusion multiple de la lumiere Ph.D. Thesis (in French and English), 1984.
J. M. Schmitt, A. H. Gandjbakhche, R. F. Bonner, “Use of polarized light to discriminate short-path photons in a multiply scattering medium,” Appl Optics; 32, 6535-6546, (1992).
M. J. Rakovic, G. W. Kattawar, M. Mehrubeoglu, B. D. Cameron, L. -H. Wang, S. Rastegar, and G. L. Cote, “Light backscattering polarization patterns from turbid media: theory and experiment,” Appl. Opt. 38, 3399-3408, (1999).
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).
J. C. Ramella-Roman, S. A. Prahl, and S. L. Jacques, “Three Monte Carlo programs of polarized light transport into scattering media: part II,” Opt. Express 13, 10392-10405, (2005).
M. Xu, “Electric field Monte Carlo simulation of polarized light propagation in turbid media”, Opt. Express 26, 6530-6539, (2004).
N. Metropolis and S. Ulam, “The Monte Carlo method,” J. Am. Stat. Assoc. 44, 335-341, (1949).
L. H. Wang, S. L. Jacques, and L. -Q. Zheng, “MCML - Monte Carlo modeling of photon transport in multi-layered tissues,” Computer Methods and Programs in Biomedicine 47, 131-146, (1995).
E. Hecht, Optics 4th ed, Pearson Addison Weasley Ed. 2002.
Bohren and D. R. Huffman, Absorption and scattering of light by small particles, (Wiley Science Paperback Series, 1998).
K. Shoemake, “Animating rotation with quaternion curves,” Computer Graphics 19, 245-254, (1985).
J. J. Craig, Introduction to robotics. Mechanics and controls, (Addison-Weseley Publishing Company, 1986).
K. F. Evans and G. L. Stephens, “A new polarized atmospheric radiative transfer model,” J. Quant. Spectrosc. Radiat Transfer. 46, 413-423, (1991).
F. Jaillon and H. Saint-Jalmes, “Description and time reduction of a Mnte Carlo code to simulate propagation of polarized light trhough scattering media.” Appl Optics 42, 16 (2003).
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Ramella-Roman, J.C. (2008). Polarized Light Transport into Scattering Media Using a Quaternion-Based Monte Carlo. In: Bock, W.J., Gannot, I., Tanev, S. (eds) Optical Waveguide Sensing and Imaging. NATO Science for Peace and Security Series. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6952-9_10
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