Advances in fabrication and testing are allowing aspheric optics to have greater
impact through their increased prevalence and complexity. The most widely used
characterization of surface shape is numerically deficient, however.
Furthermore, with regard to tolerancing and to constraints for
manufacturability, this representation is poorly suited for design purposes.
Effective alternatives are therefore presented for working with rotationally
symmetric surfaces that are either (i) strongly aspheric or (ii) constrained in
terms of the slope in the departure from a best-fit sphere.
©2007 Optical Society of America
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