Share Email Print

Proceedings Paper

Asphere, o asphere, how shall we describe thee?
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

Two key criteria govern the characterization of nominal shapes for aspheric optical surfaces. An efficient representation describes the spectrum of relevant shapes to the required accuracy by using the fewest decimal digits in the associated coefficients. Also, a representation is more effective if it can, in some way, facilitate other processes - such as optical design, tolerancing, or direct human interpretation. With the development of better tools for their design, metrology, and fabrication, aspheric optics are becoming ever more pervasive. As part of this trend, aspheric departures of up to a thousand microns or more must be characterized at almost nanometre precision. For all but the simplest of shapes, this is not as easy as it might sound. Efficiency is therefore increasingly important. Further, metrology tools continue to be one of the weaker links in the cost-effective production of aspheric optics. Interferometry particularly struggles to deal with steep slopes in aspheric departure. Such observations motivated the ideas described in what follows for modifying the conventional description of rotationally symmetric aspheres to use orthogonal bases that boost efficiency. The new representations can facilitate surface tolerancing as well as the design of aspheres with cost-effective metrology options. These ideas enable the description of aspheric shapes in terms of decompositions that not only deliver improved efficiency and effectiveness, but that are also shown to admit direct interpretations. While it's neither poetry nor a cure-all, an old blight can be relieved.

Paper Details

Date Published: 26 September 2008
PDF: 15 pages
Proc. SPIE 7100, Optical Design and Engineering III, 710002 (26 September 2008); doi: 10.1117/12.797770
Show Author Affiliations
G. W. Forbes, QED Technologies, Inc. (United States)
C. P. Brophy, Optical Engineering Services (United States)

Published in SPIE Proceedings Vol. 7100:
Optical Design and Engineering III
Laurent Mazuray; Rolf Wartmann; Andrew Wood; Jean-Luc Tissot; Jeffrey M. Raynor, Editor(s)

© SPIE. Terms of Use
Back to Top