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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 34 — Dec. 1, 1998
  • pp: 7977–7982

Analysis of Interferograms with a Spatial Radial Carrier or Closed Fringes and its Holographic Analogy

Jorge García-Márquez, Daniel Malacara-Hernández, and Manuel Servín  »View Author Affiliations


Applied Optics, Vol. 37, Issue 34, pp. 7977-7982 (1998)
http://dx.doi.org/10.1364/AO.37.007977


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Abstract

It is well known that an interferogram can be demodulated to find the wave-front shape if a linear carrier is introduced. We show that it can also be demodulated if it has many closed fringes or a circular carrier appears. A basic assumption is that the carrier fringes are of a bandwidth adequate to contain the wave-front distortion. This phase determination, called here demodulation, is made in the space domain, as opposed to demodulation in Fourier space, but the low-pass filter characteristics must be properly chosen. For academic purposes a holographic analogy of this demodulation process is also presented, which shows that the common technique of multiplying by a sine function and a cosine function is equivalent to holographically reconstructing with a tilted-flat wave front. Alternatively, a defocused (spherical) wave front can be used as a reference to perform the reconstruction or demodulation of some closed-fringe interferograms.

© 1998 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.5060) Instrumentation, measurement, and metrology : Phase modulation
(220.4840) Optical design and fabrication : Testing

Citation
Jorge García-Márquez, Daniel Malacara-Hernández, and Manuel Servín, "Analysis of Interferograms with a Spatial Radial Carrier or Closed Fringes and its Holographic Analogy," Appl. Opt. 37, 7977-7982 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-34-7977


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References

  1. K. H. Womack, “Interferometric phase measurement using spatial synchronous detection,” Opt. Eng. 23, 391–395 (1984).
  2. M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
  3. T. Kreis, “Digital holographic interference-phase measurement using the Fourier transform method,” J. Opt. Soc. Am. A 3, 847–855 (1986).
  4. T. Kreis, “Fourier transform evaluation of holographic interference patterns,” in International Conference on Photo Mechanics and Speckle Metrology, F.-P. Chiang, ed., Proc. SPIE 814, 365–371 (1987).
  5. A. J. Moore and F. Mendoza-Santoyo, “Phase demodulation in the space domain without a fringe carrier,” Opt. Laser Eng. 23, 319–330 (1995).
  6. M. Servín, J. L. Marroquín, and F. J. Cuevas, “Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique,” Appl. Opt. 36, 4540–4548 (1997).
  7. X. Peng, S. M. Zhou, and Z. Gao, “An automatic demodulation technique for a non-linear carrier fringe pattern,” Optik 100, 11–14 (1995).
  8. V. I. Vlad and D. Malacara, “Direct spatial reconstruction of optical phase from phase-modulated images,” in Progress in Optics, Vol. XXXIII, E. Wolf, ed. (Elsevier, Amsterdam, 1994), pp. 261–317.
  9. D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, New York, 1998).

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