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

  • 会议论文

  • 发表日期：

    2026年

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  • C. A. Ladeia,
  • A. B. Guimarães,
  • M. Schramm,
  • B. E. J. Bodmann

摘要

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.