C. Tezcan, 3RD FORM OF THE TRANSPORT-EQUATION FOR EXTREMELY ANISOTROPIC SCATTERING KERNEL, Journal of quantitative spectroscopy & radiative transfer, 55(1), 1996, pp. 33-40
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.