title: Comparison of the auxiliary function method and the discrete-ordinate method for solving the radiative transfer equation for light scattering.
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.
authors.affiliation: Laboratoire d'Optique des Solides, Unité Mixte de Recherche 7601 du Centre National de la Recherche Scientifique, Université Pierre et Marie Curie, case 80, 4 place Jussieu, 75252 Paris 05, France.
authors.forename: Anabela
authors.initials: A
authors.lastname: da Silva
authors.forename: Mady
authors.initials: M
authors.lastname: Elias
authors.forename: Christine
authors.initials: C
authors.lastname: Andraud
authors.forename: Jacques
authors.initials: J
authors.lastname: Lafait