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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 7 — Apr. 8, 2013
  • pp: 8856–8864

Separating misalignment from misfigure in interferograms on cylindrical optics

Fei Liu, Brian M. Robinson, Patrick J. Reardon, and Joseph M. Geary  »View Author Affiliations


Optics Express, Vol. 21, Issue 7, pp. 8856-8864 (2013)
http://dx.doi.org/10.1364/OE.21.008856


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Abstract

This paper presents an analytical method that allows for unambiguous separation of misalignment from the interferometric measurement of cylindrical optics with rectangular apertures. This method not only removes the misalignment-induced aberration from the measured wavefront data, but also yields the amount of misalignment in the test setup. We verified this method during testing of a convex cylindrical optic.

© 2013 OSA

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

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: November 19, 2012
Revised Manuscript: January 8, 2013
Manuscript Accepted: January 16, 2013
Published: April 3, 2013

Citation
Fei Liu, Brian M. Robinson, Patrick J. Reardon, and Joseph M. Geary, "Separating misalignment from misfigure in interferograms on cylindrical optics," Opt. Express 21, 8856-8864 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-7-8856


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References

  1. M. Rimmer, “Analysis of Perturbed Lens Systems,” Appl. Opt.9(3), 533–537 (1970). [CrossRef] [PubMed]
  2. G. C. Dente, “Separating misalignment from misfigure in interferograms on off-axis aspheres,” Precision Surface Metrology. J. C. Wyant, SPIE.429, 187–193 (1983).
  3. E. W. D. Young and G. C. Dente, “The effects of rigid body motion in interferometric tests of large-aperture, off-axis, aspheric optics,” Southwest Conference on Optics. Albuquerque, NM, SPIE. 540: 59–68 (1983).
  4. F. Liu, B. M. Robinson, P. Reardon, and J. Geary, “Analyzing optics test data on rectangular apertures using 2-D Chebyshev polynomials,” Opt. Eng.50(4), 043609 (2011). [CrossRef]
  5. P. Reardon, F. Liu, and J. Geary, “Schmidt-like corrector plate for cylindrical optics,” Opt. Eng.49(5), 053002 (2010). [CrossRef]
  6. Mathworld. “Least-squarea fitting,” Retrieved Jan 3, 2012, from http://mathworld.wolfram.com/LeastSquaresFitting.html .
  7. B. M. Robinson and P. J. Reardon, “First-order perturbations of reflective surfaces and their effects in interferometric testing of mirrors,” J. Mod. Opt.52(18), 2625–2636 (2005). [CrossRef]

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