Abstract

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

© 1994 Optical Society of America

Two-element refracting system for annular Gaussian-to-Bessel beam transformation

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