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We study the angle dependence of the Andreev scattering at asemiconductor-superconductor interface, generalizing the one-dimensional theoryof Blonder, Tinkham and Klapwijk. An increase of the momentum parallel to theinterface leads to suppression of the probability of Andreev reflection andincrease of the probability of normal reflection. We show that in the presenceof a Fermi velocity mismatch between the semiconductor and the superconductorthe angles of incidence and transmission are related according to thewell-known Snell's law in optics. As a consequence there is a critical angle ofincidence above which only normal reflection exists. For two andthree-dimensional interfaces a lower excess current compared to ballistictransport with perpendicular incidence is found. Thus, the one-dimensional BTKmodel overestimates the barrier strength for two and three-dimensionalinterfaces.Comment: 8 pages including 3 figures (revised, 6 references added

Angle dependence of Andreev scattering at semiconductor–superconductor interfaces