Abstract
The classic constant source problem for a half-space is generalized 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 forms. The significant effect of refraction on the surface flux and current and the associated angular distributions is highlighted.
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