REFLECTIVE AND REFRACTIVE SYSTEMS FOR GENERAL 2-DIMENSIONAL BEAM TRANSFORMATIONS

A method for designing reflective and refractive surfaces that perform general transformations on two-dimensional beams is presented. In som e cases the shape of the surfaces is represented by a simple integral of an analytic expression, whereas in other specific cases it is repre sented as a solution of a Poisson-like equation. Finally, the possible use of noncontinuous surfaces (facets) is discussed and evaluated qua ntitatively. Some of the novel techniques developed are also applicabl e for beam transformations that are realized with diffractive systems.