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Three-Flat Test Solutions based on Simple Mirror Symmetry

Published

Author(s)

Ulf Griesmann

Abstract

Three-flat tests are the archetypes of measurement procedures used in interferometric surface and wavefront metrology to separate errors in the interferometer reference wavefront from errors due to the tests part surface, so-called absolute tests. A new class of solutions for the three-flat problem for circular flats is described in terms of functions that are symmetric or anti-symmetric with respect to reflections at a single vertical line through the center of the flat surfaces. The new solutions are simpler, and easier to calculate than the known solutions based on two-fold mirror symmetry or rotation symmetry. Strategies for effective determinations of azimuthal wavefront averages are also discussed.
Citation
Applied Optics
Volume
45 (23)

Keywords

absolute test, flat calibration, interferometry, precision optics, reference flat

Citation

Griesmann, U. (2006), Three-Flat Test Solutions based on Simple Mirror Symmetry, Applied Optics, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=822358 (Accessed June 22, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created August 1, 2006, Updated February 19, 2017