Hansen 1969

Hansen, J.E., 1969: Radiative transfer by doubling very thin layers. Astrophys. J., 155, 565-573, doi:10.1086/149892.

A doubling principle first used by van de Hulst has been developed to provide rapid and accurate results for the problem of diffuse reflection from a plane-parallel atmosphere. The method described here eliminates the need for numerically solving an equation of radiative transfer by beginning with a layer of such small optical thickness (τ ~ 2^-25) that the initial scattering and transmission functions are given by the phase function. An application is made to spectral scattering by clouds in the visual and near-infrared, where the phase function is strongly peaked in the forward direction.

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Hansen, J.E.: Radiative transfer by doubling very thin layers, Astrophys. J., 155, 565-573, doi:10.1086/149892, 1969.

Hansen, J.E. (1969), Radiative transfer by doubling very thin layers, Astrophys. J., 155, 565-573, doi:10.1086/149892.

Hansen, J.E., 1969: Radiative transfer by doubling very thin layers. Astrophys. J., 155, 565-573, doi:10.1086/149892.

Hansen, J.E. 1969, Astrophys. J., 155, 565, doi:10.1086/149892.

Hansen JE. Radiative transfer by doubling very thin layers, Astrophys J 1969;155:565-573. doi:10.1086/149892.

J.E. Hansen, Astrophys. J. 155, 565-573, doi:10.1086/149892 (1969).