Light propagation in tissues with forward-peaked and large-angle scattering
Applied Optics, Vol. 47, Issue 14, pp. 2599-2609 (2008)
http://dx.doi.org/10.1364/AO.47.002599
Enhanced HTML Acrobat PDF (1085 KB)
Abstract
We study light propagation in tissues using the theory of radiative transport. In particular, we study the case in which there is both forward-peaked and large-angle scattering. Because this combination of the forward-peaked and large-angle scattering makes it difficult to solve the radiative transport equation, we present a method to construct approximations to study this problem. The delta–Eddington and Fokker–Planck approximations are special cases of this general framework. Using this approximation method, we derive two new approximations: the Fokker–Planck–Eddington approximation and the generalized Fokker–Planck–Eddington approximation. By computing the transmittance and reflectance of light by a slab we study the performance of these approximations.
© 2008 Optical Society of America
OCIS Codes
(000.3860) General : Mathematical methods in physics
(030.5620) Coherence and statistical optics : Radiative transfer
(170.3660) Medical optics and biotechnology : Light propagation in tissues
ToC Category:
Scattering
History
Original Manuscript: January 14, 2008
Revised Manuscript: February 12, 2008
Manuscript Accepted: March 3, 2008
Published: May 2, 2008
Virtual Issues
Vol. 3, Iss. 6 Virtual Journal for Biomedical Optics
Citation
Pedro González-Rodríguez and Arnold D. Kim, "Light propagation in tissues with forward-peaked and large-angle scattering," Appl. Opt. 47, 2599-2609 (2008)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=ao-47-14-2599
Sort: Year | Journal | Reset
References
- A. Ishimaru, Wave Propagation and Scattering in Random Media (IEEE, 1996).
- A. D. Kim and J. B. Keller, “Light propagation in biological tissue,” J. Opt. Soc. Am. A 20, 92-98 (2003). [CrossRef]
- 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). [CrossRef]
- G. C. Pomraning, “The Fokker-Planck operator as an asymptotic limit,” Math. Models Meth. Appl. Sci. 2, 21-36 (1992).
- K. Przybylski and J. Ligou, “Numerical analysis of the Boltzmann equation including Fokker-Planck terms,” Nucl. Sci. Eng. 81, 92-109 (1982).
- M. Caro and J. Ligou, “Treatment of scattering anisotropy of neutrons through the Boltzmann-Fokker-Planck equation,” Nucl. Sci. Eng. 83, 242-250 (1983).
- L. Henyey and J. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70-83 (1941). [CrossRef]
- 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).
- L. O. Reynolds and N. J. McCormick, “Approximate two-parameter phase function for light scattering,” J. Opt. Soc. Am. 70, 1206-1212 (1980).
- 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).
- W. M. Cornette and J. G. Shanks, “Physically reasonable analytical expression for the single-scattering phase function,” Appl. Opt. 31, 3152-3160 (1992).
- D. Toublanc, “Henyey-Greenstein and Mie phase functions in Monte Carlo radiative transfer computations,” Appl. Opt. 35, 3270-3274 (1996).
- 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). [CrossRef]
- 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). [CrossRef]
- E. W. Larsen, “The linear Boltzmann equation in optically thick systems with forward-peaked scattering,” Prog. Nucl. Energy 34, 413-423 (1999). [CrossRef]
- A. D. Kim and M. Moscoso, “Beam propagation in sharply peaked forward scattering media,” J. Opt. Soc. Am. A 21, 797-803 (2004). [CrossRef]
- G. C. Pomraning, “Higher order Fokker-Planck operators,” Nucl. Sci. Eng. 124, 390-397 (1996).
- A. K. Prinja and G. C. Pomraning, “A generalized Fokker-Planck model for transport of collimated beams,” Nucl. Sci. Eng. 137, 227-235 (2001).
- 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).
- E. W. Larsen and L. Liang, “The atomic mix approximation for charged particle transport,” SIAM J. Appl. Math. 68, 43-58 (2007). [CrossRef]
- R. Sanchez and N. J. McCormick, “Solutions to inverse problems for the Boltzmann-Fokker-Planck equation,” Transp. Theory Stat. Phys. 12, 129-155 (1983). [CrossRef]
- J. E. Morel, “An improved Fokker-Planck angular differencing scheme,” Nucl. Sci. Eng. 89, 131-136 (1985).
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.