Analytical and Computational Techniques for Multiple Scattering in Inhomogeneous Finite Slabs

摘要

In AD-437 813 and AD-610 061 the invariant imbedding and resolvent procedures were applied to the solution of the photon diffusion equation in a finite homogeneous slab. In this memorandum these techniques are extended to determine the integro-differential equations for the photon emergence probability in a finite isotropically scattering flat layer of arbitrary stratification. Furthermore, several integro-differential equations for Chandrasekhar's X and Y functions are found, taking into consideration the polarity of the radiation.