Light propagation in tissues with forward-peaked and large-angle scattering

Applied Optics

Volumn 47, Issue 14, 2008, Pages 2599-2609

  González Rodríguez, Pedro ^a,b   Kim, Arnold D ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATION THEORY; HISTOLOGY; LIGHT PROPAGATION; TISSUE;

APPROXIMATION METHODS; EDDINGTON APPROXIMATIONS; FOKKER PLANCK; FOKKER-PLANCK APPROXIMATION; LARGE-ANGLE SCATTERING; LIGHT PROPAGATION IN TISSUE; RADIATIVE TRANSPORT EQUATION; TRANSMITTANCE AND REFLECTANCES;

FORWARD SCATTERING;

ALGORITHM; ARTICLE; COMPUTER SIMULATION; LIGHT; OPTICS; RADIATION SCATTERING; STATISTICAL MODEL; THEORETICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; LIGHT; MODELS, STATISTICAL; MODELS, THEORETICAL; OPTICS; SCATTERING, RADIATION;

EID: 50349099246     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.47.002599     Document Type: Article

References (22)

1. A. Ishimaru, Wave Propagation and Scattering in Random Media (IEEE, 1996).
2. A. D. Kim and J. B. Keller, "Light propagation in biological tissue," J. Opt. Soc. Am. A 20, 92-98 (2003).
3. J. H. Joseph, W. J. Wiscombe, and J. A. Wienman, "The delta-Eddington approximation for radiative flux transfer," J. Atmos. Sci. 33, 2452-2459 (1976).
4. G. C. Pomraning, "The Fokker-Planck operator as an asymptotic limit," Math. Models Meth. Appl. Sci. 2, 21-36 (1992).
5. K. Przybylski and J. Ligou, "Numerical analysis of the Boltzmann equation including Fokker-Planck terms," Nucl. Sci. Eng. 81, 92-109 (1982).
6. M. Caro and J. Ligou, "Treatment of scattering anisotropy of neutrons through the Boltzmann-Fokker-Planck equation," Nucl. Sci. Eng. 83, 242-250 (1983).
7. L. Henyey and J. Greenstein, "Diffuse radiation in the galaxy," Astrophys. J. 93, 70-83 (1941).
8. J. R. Mourant, J. P. Freyer, A. H. Hielscher, A. A. Eick, D. Shen, and T. M. Johnson, "Mechanisms of light scattering from biological cells relevant to noninvasive optical-tissue diagnostics," Appl. Opt. 37, 3586-3593 (1998).
9. L. O. Reynolds and N. J. McCormick, "Approximate twoparameter phase function for light scattering," J. Opt. Soc. Am. 70, 1206-1212 (1980).
10. R. Marchesini, A. Bertoni, S. Andreola, E. Melloni, and A. E. Sichirollo, "Extinction and absorption coefficients and scattering phase functions of human tissues in vitro," Appl. Opt. 28, 2318-2324 (1989).
11. W. M. Cornette and J. G. Shanks, "Physically reasonable analytical expression for the single-scattering phase function," Appl. Opt. 31, 3152-3160 (1992).
12. D. Toublanc, "Henyey-Greenstein and Mie phase functions in Monte Carlo radiative transfer computations," Appl. Opt. 35, 3270-3274 (1996).
13. A. Kienle, F. K. Forster, and R. Hibst, "Influence of the phase function on determination of the optical properties of biological tissue by spatially resolved reflectance," Opt. Lett. 26, 1571-1573 (2001).
14. S. K. Sharma and S. Banerjee, "Role of approximate phase functions in Monte Carlo simulation of light propagation in tissues," J. Opt. A 5, 294-302 (2003).
15. E. W. Larsen, "The linear Boltzmann equation in optically thick systems with forward-peaked scattering," Prog. Nucl. Energy 34, 413-423 (1999).
16. A. D. Kim and M. Moscoso, "Beam propagation in sharply peaked forward scattering media," J. Opt. Soc. Am. A 21, 797-803 (2004).
17. G. C. Pomraning, "Higher order Fokker-Planck operators," Nucl. Sci. Eng. 124, 390-397 (1996).
18. A. K. Prinja and G. C. Pomraning, "A generalized Fokker-Planck model for transport of collimated beams," Nucl. Sci. Eng. 137, 227-235 (2001).
19. C. L. Leakeas and E. W. Larsen, "Generalized Fokker-Planck approximations of particle transport with highly forward-peaked scattering," Nucl. Sci. Eng. 137, 236-250 (2001).
20. E.W. Larsen and L. Liang, "The atomic mix approximation for charged particle transport," SIAM J. Appl. Math. 68, 43-58 (2007).
21. R. Sanchez and N. J. McCormick, "Solutions to inverse problems for the Boltzmann-Fokker-Planck equation," Transp. Theory Stat. Phys. 12, 129-155 (1983).
22. J. E. Morel, "An improved Fokker-Planck angular differencing scheme," Nucl. Sci. Eng. 89, 131-136 (1985).