Radiative transfer problem in an absorbing, scattering and homogeneous finite medium with Rayleigh scattering subjected to externally incident radiation is considered. The solution is evaluated when the case of Fresnel and diffuse reflections is present at the boundary. Galerkin approximation is introduced to calculate some functionals arising in radiative transfer problems such as reflection and transmission coefficients. Numerical results are reported and compared with the available published data which show very good agreement.

中文翻译：

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菲涅耳反射的有限介质中辐射传递方程的求解

考虑吸收，散射和均质有限介质中的瑞利散射受到外部入射辐射的辐射传递问题。当边界处出现菲涅耳和漫反射时，将评估该解决方案。引入Galerkin近似来计算在辐射传递问题中产生的一些泛函，例如反射系数和透射系数。报告了数值结果，并将其与可用的公开数据进行了比较，显示出很好的一致性。