3RD FORM OF THE TRANSPORT-EQUATION FOR EXTREMELY ANISOTROPIC SCATTERING KERNEL

The Placzek lemma leads to an integral equation equiavalent to the tra nsport equation; it deals only with the angular flux at the boundary o f the medium, while the usual transport equation deals with the angula r flux at any point. This equation is known as the third form of the t ransport equation and its kernel is the infinite medium Green's functi on. Here, the infinite medium angular Green's function is calculated f or extremely anistropic scattering kernel and replaced into the third form of the transport equation. It is shown that the connection betwee n infinite medium Green's functions for isotropic scattering and for e xtremely anisotropic scattering is given by 4 x 4 symmetric matrices. Hence the third form of the transport equation for extremely anisotrop ic scattering is obtained in terms of Green's function for isotropic s cattering.