The problem considered in this paper is the following. Suppose we have a domain Ω ⊂ Rn−1 and a domain Σ contained in an n − 1 dimensional surface in Rn; Σ is referred to as the target domain or screen to be illuminated (for the practical application, one can think that n = 3). Let n1 and n2 be the indexes of refraction of two homogeneous and isotropic media I and II, respectively, and suppose t...