Abstract

We give a method to construct, for a given surface and a point source, a one-parametric family of reflecting profiles, each of them with the characteristic property of producing a predetermined phase distribution of light that from the point source is incident on that surface after reflection at the profile. The profiles are constructed as the envelopes of specific families of ellipsoids of revolution. We also study the singularities of these profiles.

© 2010 Optical Society of America

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