Abstract
We examine using Monte Carlo simulations, photon transport in optically ‘thin’ slabs whose thickness L is only a few times the transport mean free path l*, with particles of different scattering anisotropies. The confined geometry causes an auto-selection of only photons with looping paths to remain within the slab. The results of the Monte Carlo simulations are borne out by our analytical treatment that incorporates directional persistence by the use of the Ornstein-Uhlenbeck process, which interpolates between the short time ballistic and long time diffusive regimes.
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References
A Yodh and B Chance, Phys. Today 51, 34 (1995)
Akira Ishimaru, Wave propagation and scattering in random media (Academic, New York, 1978) vols 1 and 2
D J Pine, D A Weitz, J X Zhu and E Herbolzheimer, J. Phys. (Paris) 51, 2101 (1990)
K M Yoo, F Liu and R R Alfano, Phys. Rev. Lett. 64, 2647 (1990)
D J Durian and J Rudnick, J. Opt. Soc. Am. A14, 235 (1997)
S Anantha Ramakrishna and N Kumar, Phys. Rev. E60, 1381 (1999)
M Boguñá, J M Porrà and J Masoliver, Phys. Rev. E58, 6992 (1998)
R H J Kop, P de Vries, R Sprik and A Lagendijk, Phys. Rev. Lett. 79, 4369 (1997)
C F Bohren and D R Huffman, Absorption and scattering of light by small particles, Appendix-A (Wiley Interscience, New York, 1983). Also available by anonymous ftp from ftp://astro.princeton.edu/draine/scat/bhmie
W H Press, S A Teukolsky, W T Vetterling and B P Flannery, Numerical recipes in FORTRAN — The art of scientific computing (Cambridge 1992)
D J Durian, Phys. Rev. E51, 3350 (1995)
A Lagendijk, R Vreeker and P de Vries, Phys. Lett. A136, 81 (1989)
K A Kaplan, M H Kao, A Yodh and D J Pine, Appl. Opt. 32, 3828 (1993)
M Ospeck and S Fraden, Phys. Rev. E49, 4578 (1994)
J X Zhu, D J Pine and D A Weitz, Phys. Rev. E44, 3948 (1991)
S Chandrasekhar in Selected papers on noise and stochastic processes edited by Nelson Wax (Dover, New York, 1954)
J M Porrà, J Masoliver and G H Weiss, Phys. Rev. E55, 7771 (1997)
L T Perelman, J Wu, I Itzkan and M S Feld, Phys. Rev. Lett. 72, 1341 (1994)
P M Morse and H Feshbach, Methods of theoretical physics (McGraw Hill, New York, 1953) vol. I
W Feller, An introduction to probability theory and its applications (Wiley, New York, 1950) vol. I
T W Burkhardt, J. Phys. A26, L1157 (1993)
P A Lemieux, M U Vera and D J Durian, Phys. Rev. E57, 4498 (1998)
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Gopal, V., Ramakrishna, S.A., Sood, A. et al. Photon transport in thin disordered slabs. Pramana - J Phys 56, 767–778 (2001). https://doi.org/10.1007/s12043-001-0077-x
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DOI: https://doi.org/10.1007/s12043-001-0077-x