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We study electron propagation through a random array of rare, opaque andlarge (compared the de Broglie wavelength of electrons) scatterers. It is shownthat for any convex scatterer the ratio of the transport to quantum lifetimes\eta=\tau_{tr}/\tau_{tot}$ does not depend on the shape of the scatterer butonly on whether scattering is specular or diffuse and on the spatialdimensionality (D). In particular, for specular scattering, \eta is a universalconstant determined only by the dimensionality of the system: \eta = 2 for D =3 and \eta = 3/2 for D = 2. The crossover between classical and quantum regimesof scattering is discussed.

Universality in scattering by large-scale potential fluctuations in two-dimensional conductors