Abstract

The auxiliary function method consists of taking full advantage of the expansion of the phase function on spherical harmonics in order to deduce an integral equation from the radiative transfer equation. In contrast to the discrete-ordinate method, it is free of the channel concept, the unknowns being a function only of the optical depth. After presenting the method, we show that it is very accurate and particularly well fitted when the scattering medium is continuously inhomogeneous in albedo and phase function and also for sublayers with different refractive index.

© 2004 Optical Society of America

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  1. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
  2. K. Stamnes, S. Chee Tsay, W. Wiscombe, K. Jayaweera, “Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layer media,” Appl. Opt. 27, 2502–2510 (1988).
    [CrossRef] [PubMed]
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  4. A. da Silva, C. Andraud, J. Laffait, T. Robin, R. G. Barrera, “A model of the angular distribution of light scattered by multilayered media,” J. Mod. Opt. 51, 313–332 (2004).
    [CrossRef]
  5. M. Elias, G. Elias, “New and fast calculation for incoherent multiple scattering,” J. Opt. Soc. Am. A 19, 894–901 (2002).
    [CrossRef]
  6. A. da Silva, M. Elias, C. Andraud, J. Lafait, “Comparison between 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).
    [CrossRef]
  7. L. Simonot, M. Elias, “Special visual effect of art glazes explained by the radiative transfer equation,” Appl. Opt. (to be published).
  8. R. G. Barrera, A. Garca-Valenzuela, “Coherent reflectance in a system of random Mie scatterers and its relation to the effective-medium approach,” J. Opt. Soc. Am. A 20, 296–311 (2003).
    [CrossRef]

2004 (1)

A. da Silva, C. Andraud, J. Laffait, T. Robin, R. G. Barrera, “A model of the angular distribution of light scattered by multilayered media,” J. Mod. Opt. 51, 313–332 (2004).
[CrossRef]

2003 (2)

2002 (1)

1988 (1)

Andraud, C.

A. da Silva, C. Andraud, J. Laffait, T. Robin, R. G. Barrera, “A model of the angular distribution of light scattered by multilayered media,” J. Mod. Opt. 51, 313–332 (2004).
[CrossRef]

A. da Silva, M. Elias, C. Andraud, J. Lafait, “Comparison between 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).
[CrossRef]

Barrera, R. G.

A. da Silva, C. Andraud, J. Laffait, T. Robin, R. G. Barrera, “A model of the angular distribution of light scattered by multilayered media,” J. Mod. Opt. 51, 313–332 (2004).
[CrossRef]

R. G. Barrera, A. Garca-Valenzuela, “Coherent reflectance in a system of random Mie scatterers and its relation to the effective-medium approach,” J. Opt. Soc. Am. A 20, 296–311 (2003).
[CrossRef]

Chandrasekhar, S.

S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).

Chee Tsay, S.

da Silva, A.

A. da Silva, C. Andraud, J. Laffait, T. Robin, R. G. Barrera, “A model of the angular distribution of light scattered by multilayered media,” J. Mod. Opt. 51, 313–332 (2004).
[CrossRef]

A. da Silva, M. Elias, C. Andraud, J. Lafait, “Comparison between 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).
[CrossRef]

Ding, K.-H.

L. Tsang, J. A. Jong, K.-H. Ding, Scattering of Electromagnetic Waves: Theories and Applications, Wiley Series in Remote Sensing (Wiley, New York, 2000).

Elias, G.

Elias, M.

Garca-Valenzuela, A.

Jayaweera, K.

Jong, J. A.

L. Tsang, J. A. Jong, K.-H. Ding, Scattering of Electromagnetic Waves: Theories and Applications, Wiley Series in Remote Sensing (Wiley, New York, 2000).

Lafait, J.

Laffait, J.

A. da Silva, C. Andraud, J. Laffait, T. Robin, R. G. Barrera, “A model of the angular distribution of light scattered by multilayered media,” J. Mod. Opt. 51, 313–332 (2004).
[CrossRef]

Robin, T.

A. da Silva, C. Andraud, J. Laffait, T. Robin, R. G. Barrera, “A model of the angular distribution of light scattered by multilayered media,” J. Mod. Opt. 51, 313–332 (2004).
[CrossRef]

Simonot, L.

L. Simonot, M. Elias, “Special visual effect of art glazes explained by the radiative transfer equation,” Appl. Opt. (to be published).

Stamnes, K.

Tsang, L.

L. Tsang, J. A. Jong, K.-H. Ding, Scattering of Electromagnetic Waves: Theories and Applications, Wiley Series in Remote Sensing (Wiley, New York, 2000).

Wiscombe, W.

Appl. Opt. (1)

J. Mod. Opt. (1)

A. da Silva, C. Andraud, J. Laffait, T. Robin, R. G. Barrera, “A model of the angular distribution of light scattered by multilayered media,” J. Mod. Opt. 51, 313–332 (2004).
[CrossRef]

J. Opt. Soc. Am. A (3)

Other (3)

S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).

L. Simonot, M. Elias, “Special visual effect of art glazes explained by the radiative transfer equation,” Appl. Opt. (to be published).

L. Tsang, J. A. Jong, K.-H. Ding, Scattering of Electromagnetic Waves: Theories and Applications, Wiley Series in Remote Sensing (Wiley, New York, 2000).

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