CALCULATION OF THE RADIANCE DISTRIBUTION AT THE BOUNDARY OF AN ISOTROPICALLY SCATTERING SLAB

The radiance arising from an anisotropically scattering illuminated st ack of n slabs is calulated using the equation of radiative transfer. It appears to be unnecessary to calculate the radiance inside the mate rial; including only the radiance at the boundary surfaces is sufficie nt to obtain the desired result. The novel method used for the solutio n of this problem leads immediately in a straightforward and systemati c way to the known appropriate basic equations valid for the problem a t hand, otherwise derived by ad hoc methods. A new simple set of linea r equations for the radiance at the boundary surfaces is derived. This method applies equally well to similar problems with other geometries . Apart from this analytical derivation, this paper presents the resul ts of the numerical solution of the set of equations that we obtained from the equation of radiative transfer, for n = 1. The results of the numerical calculations are compared with what is found in the literat ure and are found to give very good agreement.