Three-Dimensional Radiative Transfer in an Isotropically Scattering, Plane-Parallel Medium: Generalized X- And Y-Functions
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.
A. L. Crosbie and D. W. Mueller, "Three-Dimensional Radiative Transfer in an Isotropically Scattering, Plane-Parallel Medium: Generalized X- And Y-Functions," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 2005.
Mechanical and Aerospace Engineering
National Science Foundation (U.S.)
Keywords and Phrases
Three-Dimensional; Isotropic Scattering; X- and Y- Functions; Radiative transfer
Article - Journal
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