Three-dimensional Radiative Transfer in an Isotropically Scattering, Plane-parallel Medium: Generalized X- and Y-functions
Journal of Quantitative Spectroscopy and Radiative Transfer
Place of Publication
The topic of this work is the generalized X- and Y-functions of multidimensional radiative transfer. The physical problem considered is spatially varying, collimated radiation incident on the upper boundary of an isotropically scattering, plane-parallel medium. An integral transform is used to reduce the three-dimensional transport equation to a one-dimensional form, and a modified Ambarzumian's method is used to derive coupled, integro-differential equations for the source functions at the boundaries of the medium. The resulting equations are said to be in double-integral form because the integration is over both angular variables. Numerical results are presented to illustrate the computational characteristics of the formulation.
mueller, crosbie, radiative transfer
Donald W. Mueller Jr. and A. L. Crosbie (2005).
Three-dimensional Radiative Transfer in an Isotropically Scattering, Plane-parallel Medium: Generalized X- and Y-functions. Journal of Quantitative Spectroscopy and Radiative Transfer.92 (4), 457-477. United Kingdom: Pergamon Press.