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It is shown that the problem of designing a two-reflector system transforming a plane wave front with given intensity into an output plane front with prescribed output intensity can be formulated and solved as the Monge-Kantorovich mass transfer problem 1 .where P d is the map ofΩ onT d and J is the Jacobian, is the expansion ratio and it measures the expansion of a tube of rays due to the two reflections [5]. It is assumed that both R 1 and R 2 are perfect reflectors and no energy is lost in the transformation process. Consequently, the corresponding relation between the input intensity I on Ω and output intensity L on T d is given by(1)The "two-reflector" problem that needs to be solved by designers of optical systems consists in determining the reflectors R 1 and R 2 so that all of the properties of the two-reflector system above hold for prescribed in advance domains Ω, T and positive integrable functions I(x), x ∈ Ω, and L(p), p ∈ T ;

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