The design of random surfaces that produce nonstandard refraction of light

On the basis of the geometrical optics limit of the Kirchhoff approximation we design a one-dimensional random interface between two dielectric media that refracts p- or s-polarized light incident on it at an arbitrary angle of incidence θ0 from one of them into the other at an arbitrary but specified angle of transmission θt that is not defined in terms of θ0 by Snell's law. We call such transmission nonstandard refraction.