Numerical approach for reflections and transmittance of finite plane-parallel absorbing and scattering medium subjected to normal and diffuse incidence

Abstract

The discrete ordinate method (DOM) is used to analyze the radiative energy transfer in one-dimensional absorbing, scattering and non-emitting planar slab subjected to normal and diffuse incidence. To improve the ability of DOM to treat complex scattering phase function, a revision of DOM is presented. The reflectance and transmittance of a semitransparent planar slab is calculated by the DOM. The results are compared with the exact values and the solution arrived at other approximate method. It is shown that the DOM has a good accuracy in solving the reflectance and transmittance of a semitransparent planar slab, and can easily treat the complex scattering phase function.