OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 2 — Jan. 10, 1998
  • pp: 340–349

Effects of system apertures and defocus on the measured phase shift in interferometric displacement measurements

René S. Hansen  »View Author Affiliations


Applied Optics, Vol. 37, Issue 2, pp. 340-349 (1998)
http://dx.doi.org/10.1364/AO.37.000340


View Full Text Article

Enhanced HTML    Acrobat PDF (198 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The difference between the phase shift occurring at the object surface owing to displacement and the phase shift occurring at the observation plane of the imaging system of the interferometer is studied. Analytical expressions for the phase shift for a number of surface displacements are found. From these expressions it is found that the difference between the phase shifts at the object and the observation planes depends on the number of speckle-correlation modes in the observation plane and the product between the relative aperture and the relative defocus of the imaging system. For general displacement the results indicate that the accuracy of a phase-shift measurement with a small-aperture interferometer is limited only by the number of speckle-correlation modes at the observation plane for the case of a focused system. For a large-aperture interferometer the phase shift at the observation plane becomes sensitive to defocusing of the imaging system. Agreement between theory and experiments is observed.

© 1998 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry
(120.4630) Instrumentation, measurement, and metrology : Optical inspection
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry

History
Original Manuscript: May 27, 1997
Revised Manuscript: August 25, 1997
Published: January 10, 1998

Citation
René S. Hansen, "Effects of system apertures and defocus on the measured phase shift in interferometric displacement measurements," Appl. Opt. 37, 340-349 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-2-340


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. C. M. Vest, Holographic Interferometry (Wiley, New York, 1979).
  2. R. Jones, C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, 1989).
  3. H. T. Yura, S. G. Hanson, T. P. Grum, “Speckle: statistics and interferometric decorrelation effects in complex ABCD optical systems,” J. Opt. Soc. A 10, 316–323 (1993). [CrossRef]
  4. J. W. Goodman, Statistical Optics (Wiley, New York, 1985).
  5. H. T. Yura, S. G. Hanson, “Optical beam wave propagation through complex optical systems,” J. Opt. Soc. A 4, 1931–1948 (1987). [CrossRef]
  6. K. Creath, “Phase-measurement interferometry techniques,” in Progress in Optics XXVI, E. Wolf, ed. (Elsevier, New York, 1988), Chap. 5, pp. 350–393.
  7. M. V. Klein, T. E. Furtag, Optics (Wiley, New York, 1986).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited