ATTENUATION FACTOR METHOD

Yu. A. Dement'ev, E.A. Karpovtsev, I.A. Narozhnaya, V.A. Novichikhin, E.V. Morozova, E.N. Tikhomirova
VANT. Ser.: Mat. Mod. Fiz. Proc 2001. Вып.2. С. 28-36.

A new approach to solving time-dependent problems of radiant energy transport is developed with the supposition of quasistationary state of boundary surface and paths of substance radiation, absorption and scattering. Attenuation factor method is a method of a consistent description of a radiant energy straightforward transport and distribution function of released energy. The paper under consideration considers isotropic scattering, absorption and equilibrium proper radiation within grey matter approximation.
   The attenuation factors are calculated by double integrals based on Peierls equation. The possibility exists of their calculation with assured accuracy.
   A new scheme is successfully tested by solving the simplest problems of stationary and time-dependent transport within a grey matter approximation, possessing an analytical solution or verified numerical results.