Three-Dimensional Radiative Transfer in an Isotropically Scattering, Semi-Infinite Medium
Generalized reflection function
The focus of this study is the generalized reflection function of multidimensional radiative transfer. The physical situation considered is spatially varying, collimated radiation incident on the upper boundary of an isotropically scattering, semi-infinite 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 applied to formulate a nonlinear integral equation for the generalized reflection function. The resulting equation is said to be in double-integral form because the integration is over both angular variables. Computational issues associated with this generalized reflection function formulation are investigated. The source function and reflection function formulations are compared, and the relative merits of the two approaches are discussed. © 2001 Elsevier Science Ltd. All rights reserved.
D. W. Mueller and A. L. Crosbie, "Three-Dimensional Radiative Transfer in an Isotropically Scattering, Semi-Infinite Medium," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 2001.
The definitive version is available at https://doi.org/10.1016/S0022-4073(01)00053-X
Mechanical and Aerospace Engineering
Article - Journal
© 2001 Elsevier, All rights reserved.