Some Mathematical Aspects of Multiple Scattering in a Finite Inhomogeneous Slab with Anisotropic Scattering

摘要

The problem of radiative transfer in a finite inhomogeneous slab with anisotropic scattering is discussed. Some integro-differential equations with initial conditions are derived for the internal intensity, the source function, and the probability of photon emergence, with the aid of the invariant imbedding technique. These new equations are suitable for numerical computation with a large digital computer. (Author)