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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 32 — Nov. 10, 2007
  • pp: 7924–7926

Unification of formulation of moiré fringe spacing in parametric equation and Fourier analysis methods

Mohammad Abolhassani and Mahmood Mirzaei  »View Author Affiliations


Applied Optics, Vol. 46, Issue 32, pp. 7924-7926 (2007)
http://dx.doi.org/10.1364/AO.46.007924


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Abstract

Inspections of moiré fringe characteristics, such as period and orientation, conventionally are done by two approaches; namely, parametric equation and Fourier analysis methods. In some cases these methods yield different results. This inconsistency is removed by revising the derivation of the indicial equation for moiré fringes by the parametric equation method.

© 2007 Optical Society of America

OCIS Codes
(070.4790) Fourier optics and signal processing : Spectrum analysis
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: May 8, 2007
Revised Manuscript: July 31, 2007
Manuscript Accepted: August 3, 2007
Published: November 9, 2007

Citation
Mohammad Abolhassani and Mahmood Mirzaei, "Unification of formulation of moiré fringe spacing in parametric equation and Fourier analysis methods," Appl. Opt. 46, 7924-7926 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-32-7924


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References

  1. K. Patorski and M. Kujawinska, Handbook of the Moiré Fringe Technique (Elsevier, 1993).
  2. O. Kafri and I. Glatt, The Physics of Moiré Metrology (Wiley, 1989).
  3. W. Yu, D. Yun, and L. Wang, "Talbot and Fourier moire deflectometry and its applications in engineering," Opt. Lasers Eng. 25, 163-177 (1996). [CrossRef]
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  6. O. Kafri and I. Glatt, "Moire deflectometry: a ray deflection approach to optical testing," Opt. Eng. 24, 944-960 (1985).
  7. J. C. Bhattacharya and A. K. Aggrawal, "Measurement of the focal length of a collimating lens using the Talbot effect and the moire technique," Appl. Opt. 30, 4479-4480 (1991). [CrossRef] [PubMed]
  8. M. Tavassoly and M. Abolhassani, "Specification of spectral line shape and multiplex dispersion by self-imaging and moiré technique," Opt. Lasers Eng. 41, 743-753 (2004). [CrossRef]
  9. S. Yokozeki, Y. Kusaka, and K. Patorski, "Specification of spectral line shape and multiplex dispersion by self-imaging and moiré technique," Appl. Opt. 15, 2223-2227 (1976). [CrossRef] [PubMed]
  10. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996), p. 8.

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