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Applied Optics

Applied Optics


  • Vol. 39, Iss. 13 — May. 1, 2000
  • pp: 2116–2121

Reflective grating interferometer in a noncollimated configuration

Pietro Ferraro, Sergio De Nicola, Andrea Finizio, and Giovanni Pierattini  »View Author Affiliations

Applied Optics, Vol. 39, Issue 13, pp. 2116-2121 (2000)

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A third-order aberration analysis for a reflective grating interferometer (RGI) is developed for a noncollimated configuration. In such a configuration the RGI is still a folded and reversing interferometer that is sensitive only to coma aberration, as it is in the collimated configuration. However, for an unaberrated input beam converging on a plane grating, the reflective grating of the interferometer introduces self-aberrations. Consequently, a nonnull fringe pattern is obtained. Nevertheless, a RGI in the noncollimated configuration has the potential to be applied for isolating and measuring coma, and a possible configuration for this application is proposed. As an example of the application, the coma of a large mirror could be isolated and measured by use of a converged configuration to avoid the main limitation in using the RGI in a configuration with a nearly collimated beam.

© 2000 Optical Society of America

OCIS Codes
(090.1000) Holography : Aberration compensation
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.4840) Optical design and fabrication : Testing
(230.4040) Optical devices : Mirrors

Original Manuscript: September 20, 1999
Revised Manuscript: January 24, 2000
Published: May 1, 2000

Pietro Ferraro, Sergio De Nicola, Andrea Finizio, and Giovanni Pierattini, "Reflective grating interferometer in a noncollimated configuration," Appl. Opt. 39, 2116-2121 (2000)

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  1. D. Post, “Moiré interferometry,” in Handbook of Experimental Mechanics, A. S. Kobayashi, ed. (Prentice-Hall, Englewood Cliffs, N.J., 1987), Chap. 7.
  2. K. Patorski, Handbook of The Moirè Fringe Technique (Elsevier, Amsterdam, 1993), Chap. 5, pp. 196–207.
  3. S. DeNicola, P. Ferraro, A. Finizio, G. Pierattini, G. Pesce, “Reflective grating interferometer for measuring the refractive index of transparent materials,” Opt. Commun. 118, 491–494 (1995). [CrossRef]
  4. M. deAngelis, S. DeNicola, P. Ferraro, A. Finizio, G. Pierattini, “A reflective grating interferometer for measuring refractive index of liquids,” Pure Appl. Opt. 5, 761–765 (1996). [CrossRef]
  5. S. DeNicola, P. Ferraro, A. Finizio, G. Pierattini, “Reflective grating interferometer for measuring the focal length of a lenses by digital moiré effect,” Opt. Commun. 132, 432–436 (1996). [CrossRef]
  6. M. de Angelis, S. De Nicola, P. Ferraro, A. Finizio, G. Pierattini, “An interferometric method for measuring short focal length refractive lenses and diffractive lenses,” Opt. Commun. 160, 5–9 (1999). [CrossRef]
  7. S. DeNicola, P. Ferraro, A. Finizio, G. Pierattini, “Reflective grating interferometer: a folded reversal wave-front interferometer,” Appl. Opt. 38, 4845–4849 (1999). [CrossRef]
  8. T. Namioka, “Theory of the concave grating. I,” J. Opt. Soc. Am. 49, 446–465 (1959). [CrossRef]
  9. W. T. Welford, “Aberration theory of gratings and grating mountings,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1965), Vol. IV, pp. 241–280. [CrossRef]
  10. W. T. Welford, Aberrations of Optical Systems (Hilger, Bristol, UK, 1991), Chap. 11, pp. 214–217.
  11. M. V. R. K. Murty, “Use of convergent and divergent illumination with plane gratings,” J. Opt. Soc. Am. 52, 768–773 (1962). [CrossRef]
  12. D. Malacara, S. L. DeVore, “Interferogram evaluation and wavefront,” in Optical Shop Testing, D. Malacara, ed. (Wiley Interscience, New York, 1992), pp. 456–461.
  13. V. Parthiban, C. Joenathan, R. S. Sirohi, “Simple inverting interferometer with holoelements,” Appl. Opt. 27, 1913–1914 (1988). [CrossRef] [PubMed]
  14. R. Kingslake, “The interferometer pattern due to the primary aberrations,” Trans. Opt. Soc. 27, 94–105 (1926). [CrossRef]
  15. T. Kreis, “Computer-aided evaluation of holographic interferograms,” in Holographic Interferometry, P. K. Rastogi, ed. (Springer-Verlag, Berlin, 1994), Chap. 6, pp. 185–192.

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