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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 23 — Aug. 10, 2006
  • pp: 5856–5865

Three-flat test solutions based on simple mirror symmetry

Ulf Griesmann  »View Author Affiliations

Applied Optics, Vol. 45, Issue 23, pp. 5856-5865 (2006)

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In interferometric surface and wavefront metrology, three-flat tests are the archetypes of measurement procedures to separate errors in the interferometer reference wavefront from errors due to the test part surface, so-called absolute tests. What is believed to be a new class of solutions of the three-flat problem for circular flats is described in terms of functions that are symmetric or antisymmetric with respect to reflections at a single line passing through the center of the flat surfaces. The new solutions are simpler and easier to calculate than the known solutions based on twofold mirror symmetry or rotation symmetry. Strategies for effective azimuthal averaging and a method for determining the averaging error are also discussed.

© 2006 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.3940) Instrumentation, measurement, and metrology : Metrology
(220.4840) Optical design and fabrication : Testing

Original Manuscript: January 17, 2006
Manuscript Accepted: February 21, 2006

Ulf Griesmann, "Three-flat test solutions based on simple mirror symmetry," Appl. Opt. 45, 5856-5865 (2006)

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