Successive order, multiple scattering of two-term Henyey-Greenstein phase functions

doi:10.1364/OE.16.013637

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

Editor: Gregory W. Faris
Vol. 3, Iss. 11 — Oct. 22, 2008

Successive order, multiple scattering of two-term Henyey-Greenstein phase functions

Nick Pfeiffer and Glenn H. Chapman »View Author Affiliations

Optics Express, Vol. 16, Issue 18, pp. 13637-13642 (2008)
http://dx.doi.org/10.1364/OE.16.013637

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Abstract
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References (12)
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Abstract

An analytic solution to the problem of determining photon direction after successive scatterings in an infinite, homogeneous, isotropic medium, where each scattering event is in accordance with a two-term Henyey-Greenstein phase function, is presented and compared against Monte Carlo simulation results. The photon direction is described by a probability density function of the dot product of the initial direction and the direction after multiple scattering events, and it is found that such a probability density function can be represented as a weighted series of one-term Henyey-Greenstein phase functions.

OCIS Codes
(290.4210) Scattering : Multiple scattering
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: June 12, 2008
Revised Manuscript: August 11, 2008
Manuscript Accepted: August 13, 2008
Published: August 20, 2008

Virtual Issues
Vol. 3, Iss. 11 Virtual Journal for Biomedical Optics

Citation
Nick Pfeiffer and Glenn H. Chapman, "Successive order, multiple scattering of two-term Henyey-Greenstein phase functions," Opt. Express 16, 13637-13642 (2008)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-16-18-13637

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References

L.G. Henyey and J. L. Greenstein, "Diffuse radiation in the galaxy," Astrophys. J. 93, 70-83 (1941). [CrossRef]
C. D. Mobley, L. K. Sundman, and E. Boss, "Phase function effects on oceanic light fields," Appl. Opt. 41, 1035-1050 (2002). [CrossRef] [PubMed]
L. Wang and H. Wu, Biomedical Optics: Principles and Imaging (John Wiley and Sons, 2007), Ch. 3.
N. Pfeiffer and G. H. Chapman, "Monte Carlo Simulations of the Growth and Decay of Quasi-Ballistic Photon Fractions with Depth in an Isotropic Medium," Proc. SPIE 5695, 136-147 (2005). [CrossRef]
I. Turcu and R. Bratfalean, "Narrowly peaked forward light scattering on particulate media I. Assessment of the multiple scattering contributions to the effective phase function," J. Opt. A: Pure Appl. Opt. 10, (2008). [CrossRef]
W. E. Vargas and G. A. Niklasson, "Forward-scattering ratios and average pathlength parameter in radiative transfer models," J. Phys. Condens. Matter 9, 9083-9096 (1997). [CrossRef]
H. C. van de Hulst, Multiple Light Scattering, Vol 1 (Academic, 1980).
T. Binzoni1, T. S. Leung, A. H. Gandjbakhche, D. Rüfenacht, and D. T. Delpy, "The use of the Henyey-Greenstein phase function in Monte Carlo simulations in biomedical optics," Phys. Med. Biol. 51, N313-N322 (2006). [CrossRef]
S. L. Jacques, C. A. Alter, and S. A. Prahl, "Angular Dependence of HeNe laser Light Scattering by Human Dermis," Laser Life Sci. 1, 309-333 (1987).
V. I. Haltrin, "Two-term Henyey-Greenstein light scattering phase function for seawater," in IGARSS �??99: Proceeding of the International Geoscience and Remote Sensing Symposium, T. I. Stein, ed. (IEEE, 1999), pp. 1423-1425.
S. A. Prahl, Light Transport in Tissue, App. A1, PhD Thesis, (University of Texas at Austin, 1988).
R. A. Leathers and N. J. McCormick, "Ocean inherent optical property estimation from irradiances," Appl. Opt. 36, 8685-8698 (1997). [CrossRef]

Appl. Opt.

Astrophys. J.

L.G. Henyey and J. L. Greenstein, "Diffuse radiation in the galaxy," Astrophys. J. 93, 70-83 (1941). [CrossRef]

J. Opt. A: Pure Appl. Opt.

I. Turcu and R. Bratfalean, "Narrowly peaked forward light scattering on particulate media I. Assessment of the multiple scattering contributions to the effective phase function," J. Opt. A: Pure Appl. Opt. 10, (2008). [CrossRef]

J. Phys. Condens. Matter

W. E. Vargas and G. A. Niklasson, "Forward-scattering ratios and average pathlength parameter in radiative transfer models," J. Phys. Condens. Matter 9, 9083-9096 (1997). [CrossRef]

Laser Life Sci.

S. L. Jacques, C. A. Alter, and S. A. Prahl, "Angular Dependence of HeNe laser Light Scattering by Human Dermis," Laser Life Sci. 1, 309-333 (1987).

Phys. Med. Biol.

T. Binzoni1, T. S. Leung, A. H. Gandjbakhche, D. Rüfenacht, and D. T. Delpy, "The use of the Henyey-Greenstein phase function in Monte Carlo simulations in biomedical optics," Phys. Med. Biol. 51, N313-N322 (2006). [CrossRef]

Proc. SPIE

N. Pfeiffer and G. H. Chapman, "Monte Carlo Simulations of the Growth and Decay of Quasi-Ballistic Photon Fractions with Depth in an Isotropic Medium," Proc. SPIE 5695, 136-147 (2005). [CrossRef]

Other

L. Wang and H. Wu, Biomedical Optics: Principles and Imaging (John Wiley and Sons, 2007), Ch. 3.
V. I. Haltrin, "Two-term Henyey-Greenstein light scattering phase function for seawater," in IGARSS �??99: Proceeding of the International Geoscience and Remote Sensing Symposium, T. I. Stein, ed. (IEEE, 1999), pp. 1423-1425.
S. A. Prahl, Light Transport in Tissue, App. A1, PhD Thesis, (University of Texas at Austin, 1988).
H. C. van de Hulst, Multiple Light Scattering, Vol 1 (Academic, 1980).

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