The albedo problem with Fresnel reflection

The classic albedo problem for a half-space is generalised to include the effect of refraction at the boundary by inclusion of the Fresnel boundary conditions. The problem is solved using the Wiener-Hopf technique with both specular and diffuse reflection. The non-singular Fredholm integral equations that arise for the surface angular distribution are solved numerically and the solutions are illustrated by a number of results in graphical and tabular form. The significant effect of refraction on the albedo and the associated angular distributions is highlighted.