On a Parametrization for the Layer Thickness Depending on the Transmissivity in a Radiative Transfer Problem

Citation:
Ladeia, CA, Guimarães AB, Schramm M, Bodmann BEJ.  2026.  On a Parametrization for the Layer Thickness Depending on the Transmissivity in a Radiative Transfer Problem. Integral Methods in Science and Engineering. (Constanda, Christian, Bardo E. J. Bodmann, Harris, Paul J., Eds.).:199–210., Cham: Springer Nature Switzerland

Abstract:

We consider the radiative transfer equation in Cartesian geometry in a one-dimensional heterogeneous participant medium with two layers. The numerical solutions to the linear problem is discussed and obtained by a combination of the discrete ordinates and the finite difference methods. The objective of this work is to show a simple parametric formula for the thickness of one of the layers for a specified transmissivity. Further, we present error estimates for the considered steady-state transport equations with azimuthal symmetry and isotropic scattering.

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