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
Original Manuscript: September 2, 2009
Revised Manuscript: January 11, 2010
Manuscript Accepted: January 22, 2010
Published: February 25, 2010
C. Criado and N. Alamo, "Reflecting profiles that produce a given phase distribution of light," J. Opt. Soc. Am. A 27, 598-601 (2010)