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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 25, Iss. 7 — Apr. 1, 2000
  • pp: 448–450

Holographic interferometry and the fractional Fourier transformation

John T. Sheridan and Robert Patten  »View Author Affiliations


Optics Letters, Vol. 25, Issue 7, pp. 448-450 (2000)
http://dx.doi.org/10.1364/OL.25.000448


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Abstract

The fractional Fourier transform (FRT) is shown to be of potential use in analyzing the motion of a surface by use of holographic interferometry. The extra degree of freedom made available by the use of the FRT allows information regarding both translational and tilting motion to be obtained in an efficient manner.

© 2000 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(090.2880) Holography : Holographic interferometry
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry

Citation
John T. Sheridan and Robert Patten, "Holographic interferometry and the fractional Fourier transformation," Opt. Lett. 25, 448-450 (2000)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-25-7-448


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References

  1. D. Mendlovic and H. M. Ozatkas, J. Opt. Soc. Am. A 10, 1875, 2522 (1993).
  2. A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993).
  3. R. G. Dorsch, Appl. Opt. 34, 6016 (1995).
  4. C. M. Vest, Holographic Interferometry (Wiley, New York, 1979).
  5. Y. Katzir and I. Glaser, Appl. Opt. 21, 678 (1982).
  6. S. Abe and J. T. Sheridan, Opt. Commun. 137, 214 (1997).
  7. We have prepared a manuscript entitled “Speckle photography and the fractional Fourier transform.”
  8. M. F. Erden, H. M. Ozaktas, A. Sahin, and D. Mendlovic, Opt. Commun. 136, 52 (1997).
  9. S. Abe and J. T. Sheridan, Opt. Lett. 19, 1801 (1994).

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