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JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, vol.55, no.1, pp.33-40, 1996 (SCI-Expanded)
The Placzek lemma leads to an integral equation equiavalent to the transport equation; it deals only with the angular flux at the boundary of the medium, while the usual transport equation deals with the angular flux at any point. This equation is known as the third form of the transport equation and its kernel is the infinite medium Green's function. Here, the infinite medium angular Green's function is calculated for extremely anistropic scattering kernel and replaced into the third form of the transport equation. It is shown that the connection between infinite medium Green's functions for isotropic scattering and for extremely anisotropic scattering is given by 4 x 4 symmetric matrices. Hence the third form of the transport equation for extremely anisotropic scattering is obtained in terms of Green's function for isotropic scattering.