Abstract
The usual theory of scattering by non-magnetic impurities in superconductors is extended to cases where the scattering is not isotropic and the mean free path, l, is not very short. The starting point is the equation for the vertex function from which the electromagnetic response of the superconductor is derived. The anomalous limit, ql>>1 where q is a typical wavevector of the field, is studied in some detail and, in particular, the dependence of penetration depth on mean free path is derived. The results show that anisotropic scattering gives rise to measurable deviations from the theory of Mattis and Bardeen (1958).
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