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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 20, Iss. 12 — Dec. 1, 2003
  • pp: 2321–2329

Comparison of the auxiliary function method and the discrete-ordinate method for solving the radiative transfer equation for light scattering

Anabela da Silva, Mady Elias, Christine Andraud, and Jacques Lafait  »View Author Affiliations


JOSA A, Vol. 20, Issue 12, pp. 2321-2329 (2003)
http://dx.doi.org/10.1364/JOSAA.20.002321


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Abstract

Two methods for solving the radiative transfer equation are compared with the aim of computing the angular distribution of the light scattered by a heterogeneous scattering medium composed of a single flat layer or a multilayer. The first method [auxiliary function method (AFM)], recently developed, uses an auxiliary function and leads to an exact solution; the second [discrete-ordinate method (DOM)] is based on the channel concept and needs an angular discretization. The comparison is applied to two different media presenting two typical and extreme scattering behaviors: Rayleigh and Mie scattering with smooth or very anisotropic phase functions, respectively. A very good agreement between the predictions of the two methods is observed in both cases. The larger the number of channels used in the DOM, the better the agreement. The principal advantages and limitations of each method are also listed.

© 2003 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(030.5620) Coherence and statistical optics : Radiative transfer

Citation
Anabela da Silva, Mady Elias, Christine Andraud, and Jacques Lafait, "Comparison of the auxiliary function method and the discrete-ordinate method for solving the radiative transfer equation for light scattering," J. Opt. Soc. Am. A 20, 2321-2329 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-12-2321


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References

  1. M. Elias and G. Elias, “New and fast calculation for incoherent multiple scattering,” J. Opt. Soc. Am. A 19, 894–901 (2002).
  2. A. da Silva, C. Andraud, J. Lafait, T. Robin, and R. G. Barrera, “A model of the angular distribution of light scattered by multilayered media,” J. Mod. Opt. (to be published).
  3. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
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  7. W. J. Wiscombe, “Improve Mie scattering algorithm,” Appl. Opt. 19, 1505–1509 (1980).

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