An approximate solution to the integral radiative transfer equation in an optically thick slab

We consider the problem of solving the integral form of the radiative transfer equation in an atmosphere with optical thickness <f>τ0≫1</f>. We propose a method transforming this problem in the same problem posed in an atmosphere with optical thickness <f>τ1≪τ0</f>. An error over- estimation is derived. To cite this article: A. Amosov et al., C. R. Mecanique 331 (2003). [Copyright &y& Elsevier]